images
listlengths 1
1
| problem
stringlengths 14
321
| answer
stringlengths 1
103
| id
int64 91
70k
| choices
null | ground_truth
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/50.jpg"
}
] |
<image>Circle L has a radius of 32 centimeters. L H \perp G J, and G J = 40 centimeters. Find L K.
|
B
| 64,498 | null |
B
|
[
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UmxzfRiIsKpYBy4M4ci59lPz9Qnb8r5cHnapLay5EdtOr5+wuXLig/fllT/go4eLFi6SF7qFE2/4ABIbeYPDKwzleRxUnew5/245lQ5prB59uR8fhPXMbLWbteOkkeiFE1snRsFy2dCmNGjakUcOGHDn8YuBs3LABADMzM6pUqZKTpb3UkydPGDhgAL/8+gvbv/0AxwKaZeCW7Apl1u5zitTUp04ZbkzvxtC21bWteUDIVcqOXcu3G06QlJqmSF1CGLscDUsbGxsiIiKIiIjA188vw7nz589rnwevXLlyhqd5lKBWqxk0aBDeH3xAw4YNed8uD7tGtgJrzfPoX64MUuyZ7nxWFvh0r0PYj12pX6WY5mByGtM2Haf0mPVsOHVdkbqEMGY5GpbudepgZq7ZgtbP14/dAQEkJSUREhLCwAED+Pfr04HPRpyVNH7cOOzy52fEiBHaYzVLFGDt4KZgagJpKtr5BBB+J2cfy3xe5fftCPq6HSuGtsDBUXPXeyc6js4z/Wk2czuXpDUXIsvkaFiWKFGCLp07A/DwYQy9e/fGuXRp2rVty6VLlwDNQNGr1ofMKT4+Ppy/cIFZs2e/cK5rzZJM6lpX84cnSbSYsZ0HCck5W+B/fOTuzI3p3RjuVQMsNK35nlPXcBmzlq+lNRciS2RZWJo9W1DC4tmd46tMnz6d7t27Y/KfBSjMzM3p3acP83//PatKypQFv//Otq1bWb58ORYWL99m4vt2VenmWR6AW3dj8fIJIFWl7L5vNpbmzOnmzrkfu+Lp+mx0PCWNXzYdp+Q361h/UlpzId6FYrs7xsTEsHfvXmJiYihVqhRVq1bNsCFZTktJSeHbb77h2rVr/Ll0qXbi/Ctf/1RFvalbOHlRs21En6aVWNavQU6UqpO/j19l6MpDxDxIb8UbVyvBwt4euBR6/e8mhHiR3m+FmxMOHzrEN998Q6tWrfh2zBjMXrGE3H9FxyfhOmEj0fcfAfDzRx5800r5Ufx/JaSkMc43hNnbT2u2/gWwMGNUm+pM6VCdPJav7wKEEOlydVheu3aNKZMnc+PGDX6eNo0aNWq89WecvhVL9cmbIDEZTE3wHdlG757fPn/3EQOXB3Iw9Ib2WMH38jP3o/p0q1VSwcqEMBy5MiwvX77M7FmzOBkSwojhw+nards7Pbq46dQNvGf7g0oNeawIndCJKk72WVdwFllz4hpDVwRx/7nWvFHVEizo7UH5wtKaC/E6ehmWcXFx2NnZZelnqtVqDhw4wMKFC7l18yaDBg+mS5curxzEeVtTt4cydtUhAIoUsuPMBG8K2io7V/RlElPSGOd3ipn+pzK05iNbV+PHjjWkNRfiFfQuLO/fv0/Hjh3JmycP7u7uNGjYkEaNGmlXJ9eVWq0mNDSUwIMHOXzkCGfDwqhUuTL9+vWjWbNm2bIIRq8lB1i5PxwAt/JOBH3bTm93brxw9xGD/gpi/5n0UfL3Ctji81F9uruVUq4wIfSU3oXlv27evMnBgwc5dvQo4eHh3LlzB0tLS+wdHHCwt9fu/WNnb09CQgIxMTHExMQQGxtL7MOHJCcn4+zsjFvt2tStW5fatWtrl3/LLqkqNZ7TtmrXoezRsCKr+jfM1mu+q3UnrzF0xSHtIBVAA9fiLOjtQcUiWXt3L4Qh09uw/C+1Ws2jR4+0ofjw4UMexsQQ9+gRNjY2ODo6UqBAAQoUKKAJ0Sxu43V1PyGZqhM2cjta82TPlO71GNe2qiK16CoxJY3xfqeYsf00pDybwG5hxohWVfmxU01spDUXwnDC0pCcvR1HlUkb4YlmhHz9iNZ0rpH5zc1ySkT0IwatOMTeU+n7IzkWsMWnZ1161s66LTSEMEQSltlkS9hN2s/wh6cqsLbk5PiO1CjuqHRZOll/8jpDVwZx9156a+5RpTgL+3hQSVpzkUtJWGajGbvO8tVfgYBmXmPoRG8K58/e702zSlJqGt9vPs0v205laM2HtazKT51qkM8qa2YRCGEoJCyz2cfLAlm6+ywA1V3e58i3XlhZ6OcI+ctcuhfP4BWH2B1yVXvMwdGWOT3r0ttdWnORe0hYZrM0lZpGv27jUJhmO4guHuVZN6ixskVlwoZT1xmy4hB3otOXpKtXuRiL+nhS+X1pzYXxk7DMATFPUqg2cSM378QC8H3XukxqX03ZojIhKTWNSVtP8/PWU5otggHMzRjS0pWfvWvqbWv+v3nzOHPmDADDR4ygUqVK2nP/LqDy5MkTChQowI8//aRUmULPGU4/aMAc81qya1QbsNF8Xzn5n2DWnLj2hnfpH2sLc6Z2qsXlnz+kRc1SmoNpT5m37RTFvl7L8uDLitb3KhaWlvj5+eHn58fSpUsznBs3bhyrV6/Gz8+PkqVKKVKfMAxyZ5mDdpyLovWvWyFNM0J+7LsOuJUsoHRZmeZ75gaf/xVE1N301rxOpaIs7uOpV8/GP3r0iOrVqpGUlISDoyOhoaGYmpqyY8cOPvn4Y9RqNS1btmTpsmVKlyr0mNxZ5qBWlZyY0/vZmpdJKbSctYOouERli3oHHasWJ/Knbozt7A5Wmonrwedu4TpuHUP+DiY+KVXhCjXy589Py5YtAXgYE0NAQADR0dF8OfJL1Go1RYsW5TcfH4WrFPpO7iwVMHDFYRbt1HyH5upcmKPfeWFtYdhPyVx58JjPVhxmx4lI7TFbext+61mPfnXLKFiZxqFDh7RbmrRt147Y2FgOBQVhYWHBJl/fTC3PJ3IXCUsFqNRqmszYzoFni1h0rOvCps+bKlxV1tgcepPPlgdx626s9ph7xaIs7ONJtaL2itUFUK9uXa5dy/hd8YQJExg0eLBCFQlDIm24AkxNTPAb0oxSTponenyPRDB2U4jCVWWN9q7FiPy5K+O61NG25kfDb1F9/Do+W3WERwq25t26dcvw5+bNm0tQCp3JnaWCLt2Lx2XCRnicCCYmrBjSnI+MaKL31RhNa779eHprntfeBp/udfmkftkcr2ffvn307NEDAFNTU86ePYudvX2O1yEMk4Slwnafv0Pz6Vsg7SlYmXN4bEfqln5P6bKy1JYwTWv+7zxT0Kz3uaifB9WL5szz8omJiTRv1owrV65oj61YsYKmzZrlyPWF4ZM2XGHNKhRh3r+7Qian0XLWdm7GJihbVBbzqlKMy1O78n3XumBtCcDxC1HUGPcPg1YeJi4xJdtrGP3VVxmCEjRhKYSuJCz1wOcNy/N5m+oAxMcm0HLmThL/XbzCSFiamTKpfTWu/dyNtrXLgAnwVMXCHWco8vVaFgdFZNu1161dy4YNGwDo378/xYoVA2D37t3ExsZm23WFcZGw1BM+3d1pWl2z02L41Wi6LNiHMX5BUsLRhq3DmrP1ay9KvO8AQFJcAgMW7KHWD36cvP4gS68XGRnJmLFjAXBxcWH8+PF4e3sDkJqayt+rVmXp9YTxku8s9Uh8Uio1Jvty+aYmMEZ1qMWvXdwUrir7pDxV8ZN/KJP8TkLSs1bczJT+zSrza2c37PJYvtPnp6ak0Lp1a8LDw7GwsMB/+3YqVarEtWvXqF+vHmq1GhcXF/YfOJAFv40wdnJnqUdsrS3YOao15vnzAjBj8wn+PHRJ4aqyj6WZKRO9qnF9Wje83MtqW/PFO0Mp9PUaFh6MeKe76+8nTCA8XLOB3JejRmkX0ChZsiQ1atYEICIigpAQ45i2JbKXhKWecS6Qj4AvWoGFGajhkz/2E3g5WumyslVxBxs2D23G9m/aU9JJ05qnxD1h0KI9uP3gx4lMtOaHDx1i+bNnvd3c3Bg+fHiG8926dtX+vH7duneoXuQW0obrqcVBEQxYuAfUYG1nQ/ikTpRyzKd0WdkuVaVmqn8oE3xPpLfmpiZ80rQKv3Z1w+EdW3MhMkvCUo99sfYoc7ZoWsRyJQpyYnx7vV0zMqvdjE1gyMpg/I5GwLP/Qs3z5+W3bnUY3KAc2bDtuxCvJWGpx9RqaPPbLu3iFC1rObN9eItcFRQ7w6MYtCyIq1Ex2mPVyxZhUV9Pg17eThgeCUs9l5CSRq0pfly4dg+A4V41mNPNXeGqclaqSs207aGM9z0Jicmag6Ym9GtSiRld3XHMK625yH4SlgbgekwC5SdsJCkuAUxg4YCmDPB0UbqsHHcrNpGhfx9m05H01tzUNi8+H7rzWYPyueqOW+Q8CUsDERR5D8+f/DTb0lqYsfeb9jQuV1jpshQRcP4Og5YfJPJmemtetUwRFvb1oE4p43quXugPCUsDsiz4Mv3+FwBqzR1VxGRvnAsY/wj5y6Sp1EzfGcZ3G09kaM37NqnEjC61KWBjpWyBwuhIWBqY0f8c51ffEwA4F3Mk5PtO5LfOHSPkLxMVl8iwv4+w4fBFbWuObR58utZhSCNpzUXWkbA0MGo1tJ8XwNajmp0Um1QvScDIVpjm8lTYc+EOA5cFah8VBc2WHQv7ehrdkndCGRKWBigxJQ23HzZz7qrmyZ7P2lTjfz3qKlyV8tJUan7ddZYxG45naM17N6zIzA/deU9ac/EOJCwN1M3YBKpM2ETcw8cAzP20MUMalVe4Kv1wOy6R4auDWX/oItqHy/PlYU5Xd4Y1riCtucgUCUsDFnz1PnV/9IXkNDA3Y9fXXjSvUETpsvTG3ot3GbTsIBE30lvzyqULs7CvB/WdCypYmTBEEpYGbtWxSD6aG6C5g8qXh4sTO+FSKL/SZemNNJWaWQFn+XrDcXiS3pp/1KACs7vXkdZc6EzC0gh85xvCT/8cBaCkkwOnJ3R657Ugjc3dR0kMW32EdUEZW/NZXdwY3qRirh8gE28mYWkkvOfvYdNhzdYMDVyLs2dUG8xNJQD+a/+laAYuDeTi9XvaYxVLFWJRP088pDUXryFhaSSSUtOo89NWzly+A0D/lq4s6lVf4ar0k0qtZmbAOUb/cxyeJGkOmprQw7MCcz6sQ0Fbac3FiyQsjcjtuESqTNxIzIN4AGb1a8AXTSspXJX+io5PYvjqYNYEXkhvzW2smdGlNl80ldZcZCRhaWROXH+A2w9+moVzzU3ZNqotbSoXVbosvXbwUjQDlwVy/lp6a16hZEEW9vWkQdlCClYm9ImEpRFae+IaH/rsAJUabKw5N6ETFYvYKV2WXlOp1czeE86o9ccg4VlrbmLCh57l+a17HQrZWitboFCchKWRmrT1NBPXHAGgWBF7Tk/0lnUfdXAvPpkRa4L5O/C85n82AHmt+aWzG182rySteS4mYWnEui3cx7rACwDUq1yMA6Pbygi5joIi7zFgaSDhV9M3iytXoiAL+3nSSFrzXEnC0oglp6qo//MWTkbcBqBvs8os7eupcFWGQ6VW89vecEauPw6PEzUHTUzo6lEOn+51KZxfWvPcRMLSyEXHJ+E6YSPR9x8BML2XB6NbVlG4KsNyPyGZL1YHs/Lg8625FdM/cGNk88pyt55LSFjmAqduxVBjsp9mJR4zU/y+bEN712JKl2VwDkXeY+CyIM5euas95lK8AAv6NqBJLl21PjeRsMwlNp26gfdsf82dUR4rQid0ooqTvdJlGRy1Gnz2nWfEuqMZWvPO9Vzw6VGX9+3yKFugyDYSlrnIT9tD+W7VIQCKFLIjdJK3LCSRSQ8Skhm55ih/HQhPb83zWDH1Aze+aiGtuTGSsMxlPlpygFX7wwFwK+/EoTFeWMhf7Ew7cuU+A5cFEhqZ3pqXKVaAhX09aVpelsszJhKWuUyqSo3HtK0cC78FQM9GFVn5aUOFqzJsajXM23+BYeuCIf7f1hw+qFcOnx51cZLW3ChIWOZC9xOSqTphI7ej4wD4oUd9vmvjqnBVhu9BQjKj1h9j2d5zGVrzH71r8XXLKtKaGzgJy1wqLCoW18mbNAvimprwzxet+aB6CaXLMgrBV+8zcFmQdgUo0OzEuaBPA1nJ3oBJWOZiW8Ju0n6GPzxVgbUlIRM6Ur2oo9JlGQW1GuYfvMCwNUdRxT/RHDSBTnVdmNujHkXtpTU3NBKWudyvu84y+q9AAAq+l5+wSd6yaEQWinmSwqh1R1n6fGtubcmUTrX4prWrDK4ZEAlLQb9lgSzbfRaAmi7vc+hbL6wsTBWuyrgcv/aAAcsCOXUpvTUv5eTIgr4etKzopGBlQlcSloI0lZqGv2zj8NmbAHT1LM/agY2VLcoIqdWwMPAiQ9cEk/YovTXv4O7CvI/qUMzeRtkCxWtJWApA0y5Wm7iRm3diAZjQrS4TvaopW5SRepiYwlfrjvPHnrAMrfmkjrUY00Zac30lYSm0wu/EUWnSJs3it6YmrBnWim61SipdltE6cf0BA5cFaVeFAs3unAv6eNKqkrTm+kbCUmTgf/YWbWdsgzTNCPnxcR2oVaKA0mUZLbUaFgVGMGztEVLi0ltzr9pl+d9HdSnuIK25vpCwFC+Ys/c8X/y5HwDHAraETfSWBSKyWVxiCl/9c5zFu89qpnIBWFsyoUNNxrZxxdJMBtyUJmEpXmrAikMs3hkKQNUyRQge2w5rC3OFqzJ+ITdi6L8skJMX01vzEu87ML+PB21l4zlFSViKl0pTqWk6w5+DoTcA6FTPhY2fNVW4qtxjcVAEw1YHkxSXoDlgAm3dyjD/o3qUcJTWXAkSluKV4hJTqDZpE9eiHgIwtrM7P3asoXBVucejpFRG/3OchQFhGVrz79vX5Lu20prnNAlL8VoR0Y8oN3GTZqFbExNWDm1Oz9rOSpeVq5y6FcOApUEcvxClPVasiD3z+3jgVUVWvM8pEpbijQLO36HF9C2Q9hSszDnyXUfqlHpP6bJynT8OXWLY6iM8iU3QHmvt5sz8XvUo5ZhPwcpyBwlLoZN5+y8wdMk+AOwc8hE2qZM8caKAR0mpfLPhBL8HhGqmdwFYmTOufS3Gtakqj6lmIwlLobPP/z7CfP/TAFQqVYjj49qTx1JGyJVw+lYsA5cHcvTZIs4ARQtrWnPZjC57SFgKnanUaprP2sHeU9cAaOdehs1DmmMiT+cpZumRywxfdZj451rzVrU0rXnpAtKaZyUJS/FW4pNSqT55E5E3YwD4qmMtfunspnBVuVt8UirfbjzJ/3adydCaj/Wqyfdtq0lrnkUkLMVbi3zwGJfvN2oWtTWBPz9rTr+6ZZQuK9cLi4ql//JAgs+lt+bvF7Jjfh8POlYtrmBlxkHCUmTKvot3aTJtM6Q+BUtzAsd2wMO5oNJlCWB58GWGrzpC3MPH2mMtapZi/kf1KVPQVsHKDJuEpci0RYERDFy0B9RgbWfDhUne8nSJnnicrGnN5+0M1Uz5ArAy59t21ZnQrpo8upoJEpbinYxYe5TftoQAUK5EQU6Mb08+KwuFqxL/Ons7jgHLA7ULOwMUKWTHvF71ZYO6tyRhKd6JWg2tf9vFzhORgGYk1n94Cxkh1zMrj0YybNURHsbEa481q1GK33vVp6y05jqRsBTv7HFyKrWmbObi9XsAjPCqwexu7gpXJf7rcXIqYzeF4LPzjOa7ZgBLc0a3rc7k9tKav4mEpcgSV2MeU3HCJs0qOSawaGBT+nu4KF2WeIlzd+IYuDyIoLAb2mOFC+Zn7kcedKkprfmrSFiKLBMUeQ/Pn/wgJQ0szNg3pgONyhZSuizxCquOaVrzmAfprXmT6iVZ0Ks+LoXyK1iZfpKwFFlq6ZHLfDw/ANRgnj8vFyZ54yxPkuithJQ0vtt0kjk7Mrbmo1pXY0qH6vI463MkLEWW+2r9cWb4nQCgTLEChHzfEVtrGSHXZ+F34hj0V5B2sWeAQu/lZ26v+nStKZvWgYSlyAZqNXjNDWDbscsANK1ekl0jW2EqQ+R6b/XxqwxbeYj7z7XmjaqWYEFvD8oXzt2tuYSlyBaJKWnU+mEz4VejAfi8TXXm9aijcFVCF4kpaXznG8Ks7afTW3MLM0a2rsaPHWvk2tZcwlJkm5uxCVT6fqN2RZx5/RvzecPyClcldHXh7iMG/RXE/jPXtcfeK2DL3F4efJgL95OXsBTZ6siV+9T7yReS08DcjICvvWhWoYjSZYm3sPbENYauPMS9+4+0xxq4FmdhH08q5KLWXMJSZLuVRyPpNS9A82VmvjxETPKWp0YMTGJKGuP9TjHD/1SG1vyL1tX4oWMNbHJBay5hKXLE2E0hTN1wFICSTg6cntAJuzyWClcl3lZE9CMGrTikXQAawLGALXM/qk8Pt1LKFZYDJCxFjun0vz34HokAoGHVEuwd1VpGyA3U+pPXGboyiLv30ltzT9fiLOjtQaUidgpWln0kLEWOSUpNw/3HLYRG3gVgQMuqLOxVT+GqRGYlpabx/ebT/LLtlOapLQALM4a3qsqPHWsY3epTEpYiR0XFJVJlwkbt6jezP27EiCYVFK5KvItL9+IZ9FcQe55rzR0cbfHpWZeP3I1nj3kJS5Hjjl97QO0f/SApBcxN2f5VO1pVclK6LPGONpy6zpAVh7gTHac9Vr9KMRb29qTy+4bfmktYCkWsOXGN7j47QKUGG2vCJ3rnqmkoxiopNY1JW0/z89ZTmuliAOZmDG3pylTvmgbdmktYCsVM2HyayeuOAFCsiD2nJ3rjmFdGyI3B5XvxDF5xiICQq9pj9g75mNOzLn3qGObmdhKWQlFdF+xjfdAFAOpVLsaB0W0xN5URcmOx6dQNPl8RxO3nWvO6lYqxqI8HVZzslSssEyQshaKSU1XU/XkLpyJuA9CvWWX+7OupcFUiKyWnqpi09TRTt57M0Jp/3sKVn71rGsyKVBKWQnF3HyXhOnGj9nG6X3p78lWLygpXJbJa5IPHfLbisHa/JgA7h3zM7lHXIPadl7AUeuHUrRhqTPLVjJCbmbJ5VBu8qhRTuiyRDfxO3+CzFUFE3U1vzd0rFmVxX09c9bg1l7AUemPDqet0nr1dM0Ke14qwCd5GMeVEvCg5VcUU/9P8uPn51tyUwc1dmfZBLfLrYWsuYSn0yg/bzjB+9WEA3i9kx5lJ3rxnY6VwVSK7XHnwmM9XHmb78fTWPK+9DXO71+Xj+mUVrOxFEpZC7/RcfIC/D4QDULtiUYK+aYeFjJAbtS1hN/lseRA378Rqj7mVd2JRPw+qF3VUrrDnSFgKvZPyVIXHz1s5fiEKgI8aVWTFpw0Vrkpkt5SnKn7YdoYpm0M0310DmJsysFkVfunspnhrLmEp9NL9hGRcJ2zUPjr3Y8/6jG3tqnBVIidcj0ngs5WH2Xb8MjxLJ2s7TWv+qYdyrbmEpdBbYVGxuE7aBInJYGrCxi/a0Kl6caXLEjlk29lbDF4exI3bD7XHapVzYlFfD2oUz/nWXMJS6LXNoTfpMNMfnqogjxWnvu9EtaL2SpclckjKUxU/+Ycyye9kemtuZsqAZlX4pXOtHF1AWsJS6L1fdobx9YogQLOXdegkbwrZWitclchJNx4m8PnKI2w5dknbmlva5WXuh3Xp7+FCTqwhLWEpDELfpQdZvuccADVd3ufwWC8szUwVrkrkNP+zt/jsryCuRaW35jVd3mdRXw9qliiQrdeWsBQGIVWlpuH0bRw5dxOAbp7lWTOwsbJFCUWkqtRM9Q9lgu+JDK35p00r80sXNxyyqTWXsBQGI+ZJClUnbOTW3VgAJn5YlwntqilblFDMzVhNa775aHprbp4/L3M/rMNAz3JZ3ppLWAqDEn4njkoTN8GTJDA1Ye3wVnStWVLpsoSCdoZHMWhZEFejYrTHqpctwqK+nriVzLrWXMJSGBz/s7doO2MbpKnA2pIT4zpk+/dVQr+lqtRM2x7K+E3PteamJnzctBK/dnHPkkWlJSyFQZq1+xxfLjsIaPatDpvozft2eRSuSn+tXbOGLVu2cO3aNYoWLcqH3bvTsWNHpcvKcrdiExmy6jC+wRHa1tzUNi8+H7rzWYPy79SaS1gKg9X/r0Ms2RUKQLUyRTgyth3WFuYKV6V/Bg0cyObNm184PnToUMZ+950CFWW/gPN3GLjsIFdupbfmpYs6smZwE2qXfC9TnylhKQxWmkpNkxn+BIbeAMC7Xjk2fNZE4ar0y/p16xg+fDimpqZ88skn1PfwYMf27axZswaA1WvW0LChcT53n6ZSM2x1ML9vP51+0NSEvk0qMbPr27fmMlFNGCxzUxP8hjanxPsOAGw8fJFxfiGK1uTr64uHhwc9e/R4q/d5d+qEh4cHu3btytJr+fv7A9C3b18mT5lC69atmTV7Nu3btwdgx/btb1WnIYhPSmX+gYt4TNvK7zvPZDypUnPkUjSbTl1/68+VnkUYNIc8lgSMak25iZvgcSI//nOMyk4O9HArpUg9O3fs4Epk5Jtf+JyoqCiCg4MBePToUZZe6+atWwBUqFgxw/Fabm5s3ryZq1evvlWt+kqlVuN/NoolBy+yMeRq+iDPM7b2NvSsU5bBjctlesk3CUth8FwK5WfnsOa0/GUbpD2l54LdOL/XkTqlMvfdVGadP3+enTt3vvX7pk6dmm3Xcq1ShdAzZ9jwzz/07t1be3zvnj0AlChp2NOuQqNiWXDgAisOXyLu4eOMJ63M6VC9NJ96uuBVtRim7zjxUsJSGIUWFZ3w6dOAYX/sg+Q0Ws3awdlJH1DUPvtGyNVqNQ8ePODOnTvs3LGDpUuXkpCQ8Mb3JSUlcffuXc6fP8+KFSvYHRCQbdfyateOv//+m+DgYJo3b07jRo3YuXMnly5dwszMjC5duuj0u+qTe/HJLDkUwfKgCMKvRmc8aWKCW7n36edZjt51nLN0DUwJS2E0hjYuz9moh/y+/TRxDx/TatYOjn3nRR7L7PnPPDIykgaeb79t79AhQ9i2bVuOXKtx06aMHj2a6dOnc+7sWc6dPQuAmZkZo7/+mlq1ar31Zyoh5amK9Sev8kdgBLtDb0Da0wznnQrb0cfDhQENyuNcIF+21CBhKYzKvB51OH/7IftOX+fslbt0W7gfvyHNcmRVGn31xciRtPfywm/zZk6cPImzszPe3t7UqFFD6dLeKPByNIsOXmB5cCQkJGU8mdeaXu7O9G9YnkZlC2V7LTJ1SBidR0mp1Ji8icibmjl2ozu5Mf2DrL+DUqlUxMbGZjj2gbc3Fy9epLSzM0FBQS993+PHj0lJSR+A2B0QwIgRIwDwmTuXzp07Z9m1DNGVB49ZHBjB8qCLGfbkAcDclCZVivOxZzm61SiFlUXOTeiRO0thdPJbW7BzpGaEXBX/hF98T1C5qD1965TJ0uuYmpri6JhxZNXK+s3rbObLl7FNdHB88+hsZq9lKOKTUvnraCRLgyI4dj4K/nMPV6FkQfp4uPBJfRcK51fm95awFEapTEFbAka0pOm0zZD6lH6L9+FSMD/1nQsqXZp4RqVWs+3sLZYcvMimk1fS9w9/xtbeht71XBjQ0EUvdniUsBRGq0m5wizo14hBi/dAchotZu8gfKI3JRxtlC4tVzt9K5ZFB1893adjjdJ82qAc7aoUfefpPllJwlIYtYENXAiLeojP1hCexCbQctYOTozvgE02jZCLl4uOT+KPQ5dyfLpPVpL/YoTRm9PNnfO3H7Lr5FUuXLtHl9/3sm1Yi1w9Qp4TklNVrA+5yh+BF9kTdkOzpN5ziha2p7dH2Wyd7pOVJCyF0TMxgQ2fNaXmZF8ibjxg+/FIvlx/jFldaytdmlE6eCmaRQcu8Nexl0z3sbGmd21nBjQsT4McmO6TlSQsRa6Qz8qCnaNaU37CRlLinjB7y0mqODnwqUdZpUszClcePGbRQc10n3+3/dAyN6VpleJ84lmOLjk83ScrSViKXKOUYz52f9GKBlM3Q0oa/f/YR9nC+XNkQrMx0nW6z6ceLkaxdbGEpchVPMsU4o9PGvHJgt2Q+pTms3dwcZI3pQ3gOzN9oOt0n4ENy1OtqL0yRWYTCUuR63xcvyxhUbHM9DtB2qMntJy5nZPjO2Krp6Ow+uD0rVgWHrjAX4cjiI/9zwIeVuZ0qlmaTzz1b7pPVpKwFLnSr53dCI+Kxf/4ZS7deID3/D3s/KKl0f5Fz4zo+CSWBGlW9zl/7V7GkyYm1K7gRD8PF3q7O+eK/9FIWIpcycQE1g1uTO0f4gm/Gs3ukKsMX3OUud3rKF2aonSZ7tPHoxwDGrjkuq8uJCxFrmVjac6OkS2pPGEj8bEJzPM/RWUnBz5rWE7p0nKcsU73yUoSliJXK+5gw46Rraj/kx8kp/H5sgOUL5yfpuWLZOrzzEw102IszHX/q2Vumj6VxspC93Y2M9d6XuSDxyw6eIG/gi4Z7XSfrCRLtAkB/HU0kj7zAjTTX2zzEDHRm7IFbZUuK8s9Skrlr+BIlgZe5PjF2y9M96lYqtCz1X3KGsV0n6wkYSnEM2M2neDnDccBKOXkyOmJnfT2OeW3oVKr2Rqmme7jG/LidB87h3z0qqd57PBdpvssXryYP//8E4AVK1ZQunTp177e19eX6dOnU7JECVb9/Xemr5tTpA0X4pmpnWpx7lYcfsERXI2KocPcAPaMam2wI+SnbsWw6EDEa6f7fNqgHG0rv/t0n5iYGKZPn87j+HgAkpOT3/iezOyEqSQJSyGes2ZgQ2rfe0RY5F32n7nOZ6uOsOCjekqXpTOlpvtMnjxZG5S6yOxOmEqSsBTiOdYW5uwY2YrK328g9uFjFu44Q2UnB4Y3qaB0aa+UnKpibchV/gy8yN6XTPcpVkQz3ae/Z/ZM9wkLC2P9unWvfU1md6fUJxKWQvyHk10edn3Zmto/+kFSCiP+OkiFIvlpWdFJ6dIy2H8pmsUHLrDiaCQ8eXG6T586zgxoUB7PMtk73ee7sWNRqVSYmJqiVqle+prM7k6pTyQshXgJt5IF+HtgE3r47IQ0Fa18Agif0IkKhfMrWte/032WB0UQdTcu40lzM5q5FucTTxe61CyFpVn2T/fx9fXl2LFj5LO1pVevXvw+f362X1MpEpZCvEJ3t1Kc6+LOlHXB8DiRljO3c3piJxzyWOZoHbpO9/m0vgsFba1yrK6UlBSmTJ4MwLBhw3jdxJrSpUsT9mzP8n/9uzuloZCwFOI1JrevzrlbD/nn0EVu3H6Il88u9n/VFnPT7B0hV6nVbDlzkyWBEfidevV0n0ENy+PqZJ+ttbzKb3PmEBUVRYkSJRg8eDDzX3NXaQy7U0pYCvEGKz9txOXoR5y6dIdDYTcZuCKIP/pkz/dvp27FsPDARVYcvvTidB9rS7xrlOLTBuVoU9lJ0SlNd+7c4ffffwdgwsSJWLzFk0eGSsJSiDewsjBl+xetqDJhA/cfxPNnwFmqFHXky2aVsuTz7z5KYskhzXSfC/+d7mNqgnt5J/p5lKOXe2m9Wd1n0sSJPHnyhHr169OmTRuly8kREpZC6KBwfmt2ftmamlN8ISmFUSuCKF/YjnZVimbq85Se7vMuTp48id/mzZiZmfHDDz8oXU6OkbAUQkc1ijuy/rNmdJmzHZ6q8Jq7i7MTvalUxE7nz9h38S5LAi++fLpPvjz0cS+dI9N93sXYMWNQq1R82LMnFStWVLqcHCNhKcRb6FyjBJO71eX71YfhSTItZvhzZqI3BWxePQp9+V48iw5e5K/DL5/u09y1OB/n4HSfd7F2zRrOnDmDra0t340bp3Q5OUrCUoi3NL5tVc7desjqg+eJuhtH2992EfhNOyyeGyF/lJTK8iOa6T4nIl6c7lNJu7pPzk73eVezZ88GwM7e/oU5lSdOntT+vGTxYkqVLs2QIUNysrxsJasOCZEJKU9V1J+6lRMXowDo1bgSyz72fO10H/tn030GKjjd5125VqnCgwcPdHqtqakpN2/deuX5Vq1aEXrmDKWdnQkKCsqqErON3FkKkQmWZqb4j2iJ68QN3L33iBX7zrFi37kXX6hH032yQsGCBTF5xe+QmJiofd47b9682Noa13qgEpZCZFJBWyt2jWpD1UmbIPG5Jcn0dLpPVtizd+8rz/3222/8PHUqAFu2bqVCBf1dfCQzJCyFeAeuTvb4ft6MjrP8KV7Ynj4eLvT3dKGUo35N9xHvTsJSiHfUoVpxImf01Lv5kCJr6fc8BSEMhASl8ZOwFEJkOUvLN6/M9K67U+Y0mTokhBA6kDtLIYTQgYSlEELoQMJSCCF0IGEphBA6kLAUQggdSFgKIYQOJCyFEEIHEpZCCKEDCUshhNCBhKUQQuhAwlIIIXQgYSmEEDqQsBRCCB1IWAohhA4kLIUQQgcSlkIIoYP/A+kxewhbhHIPAAAAAElFTkSuQmCC",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/51.jpg"
}
] |
<image>Find x. Round the side measure to the nearest tenth.
|
D
| 64,499 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/52.jpg"
}
] |
<image>Find x. Round side measure to the nearest tenth.
|
A
| 64,500 | null |
A
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/53.jpg"
}
] |
<image>Find y.
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B
| 64,501 | null |
B
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/54.jpg"
}
] |
<image>In \odot B, m \angle L B M = 3 x and m \angle L B Q = 4 x + 61. What is the measure of \angle P B Q?
|
C
| 64,502 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/55.jpg"
}
] |
<image>If P R \parallel K L, K N = 9, L N = 16, P M = 2 K P, find M R.
|
C
| 64,503 | null |
C
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[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/56.jpg"
}
] |
<image>In the figure, m \angle 3 = 110 and m \angle 12 = 55. Find the measure of \angle 10.
|
A
| 64,504 | null |
A
|
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/57.jpg"
}
] |
<image>Find y if m \angle 5 = 68 and m \angle 3 = 3 y - 2.
|
C
| 64,505 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/58.jpg"
}
] |
<image>Find the measure of \angle T to the nearest tenth.
|
C
| 64,506 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/59.jpg"
}
] |
<image>Find z.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/60.jpg"
}
] |
<image>Find x. Round the side measure to the nearest tenth.
|
B
| 64,508 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/61.jpg"
}
] |
<image>Find m \angle 1.
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C
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C
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/62.jpg"
}
] |
<image>Find B C if B E = 24, C D = 32, and A B = 33.
|
A
| 64,510 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/63.jpg"
}
] |
<image>Use parallelogram A B C D to find m \angle B C D.
|
C
| 64,511 | null |
C
|
[
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}
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<image>Find y.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/65.jpg"
}
] |
<image>Use parallelogram A B C D to find m \angle B C F.
|
B
| 64,513 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/66.jpg"
}
] |
<image>Find m \angle 5.
|
C
| 64,514 | null |
C
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/67.jpg"
}
] |
<image>Find the area of the kite.
|
C
| 64,515 | null |
C
|
[
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}
] |
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/69.jpg"
}
] |
<image>Find the measure of m \angle 3. Assume that segments that appear tangent are tangent.
|
C
| 64,517 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/70.jpg"
}
] |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
C
| 64,518 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/71.jpg"
}
] |
<image>In \odot A, m \angle E A D = 42. Find m \widehat C B E.
|
B
| 64,519 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/72.jpg"
}
] |
<image>In \odot R, S U = 20, Y W = 20, and m \widehat Y X = 45. Find S V.
|
A
| 64,520 | null |
A
|
[
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kEl1dxiyMPo8Lz3+4jk/srtnta2n2Go8bRD9vTCTbhkMxH8EZP2Cj71hMDU9GdtHTOt/ZtWvXBrZiJHxAIVKJcvNPAIBnBQ+gUj7RymcmfvcHdt0pBQAE2bWucRHV09kavy/ow88G0Qavo/PgjxB7bD/CRpoic8cCjPb+DAkX/kZt86mGt2IkfEAhUknL/3mh+Z7+eBKajaJBsXiSeZ3R510teIAxR/MBAH2aG2LpZIdaX9vVshWPG0QbwMisL6au248v1/vB8fYhfOY5Gn4bfsKdOi5v1K0Y1effzA0IoLUSHqIQqcRA8ipemzIALX/3gUEHCf555zD+WZHapFmJsrQMC3e8OMclZtpb9VZfeN8g2kiKHqMWY0fSFswb1BaSDm+gdT03p0kkEoRHRGBrbAyOp6RijKcnTp8+rZ/xEq2gEKmBcdd2aL3fh9GsZN3hX/H1w4q1gd3/sYSjTZsGv5ffDaINYdJ5MD7emYiNY2xg3MB3ubi44OSpDNj16IHJE71p0ZVHKERqwWRWkpl3D7ILdwEA08yaYdx/3qznHS/jfYNoQyM0dqOvhYUF1kZGahZdh7m50aIrD1CI1KOxsxLFwxL477qsebxsxjuMbiLjfSm4kdSLrqkn0gAAboOHID4ujuVRkbpQiDRAbbOSZ4ril1678uCvOF9SsXnk8DBrrTRv5ncpuGlsbW1xNDUVswLmYIksDHMDAiCX82BdSIQoRBqh+qzkvutelKRd0Xw9KSMfa3LuAwACLSXw+qDxlzF14XUpuAkkEgmCgoOxNTYGOdnZmOzjg/T0dLaHRaqhEGmkyrMSQwdTPBp6HA+Dv8SN3L/h9eUfAIBeBkDIjF46+f78LgU3jYuLC/bFx8OuRw/M9vOnRVeOoRBpIuOu7dAqZiJaJL6Pf/Zdx5z/XdR8LXZaT51u8ed9KbgJLCwssDk6usqia1ZWVv1vJDpHIcKQxLM3kta+j5RXK36Y13dviXd6au+W+brwuxTcNOpFV3Nzc3h5jEJ8XBzNSlhGIcJQZt49TbOhESZGmDlFvw2WeF8KbgJbW1vs3L1bs+i6MDCQFl1ZRCHCgLK0DDP3vVhYjZ7Xh7WeIGIsBQcFB2Pf/gTkZGdj0EBnWnRlCfP/8U+v4rBsHdLuVe+Jp0KJPBM/5XRH2IlYTLXlQRvARlqScBnniit+QBNHv8n6WbzqUrBbRr5mkVfoZwX3798fh5OSECaTYbafPyb4eOOTwEBIpVK2hyYajGciqvt5yEg6ju/S0/Hd/11F0fMNV6qiXJzJuQeY2cGmnXb6cnBJ2nk51lyp2CwWZC/lVONl7paCn6Gk6AZyLlzAhQuXkXe3RCsn4EmlUmyOjkbk+igciE/AGE9PWnTVI8YhYmDmjvW5fyIv/0/k/XESh3bEYPvWEAy3AMoN34Hval/0e11YV00Fdx5h6P6KJkN9TYyw2MuO5RG9jHOlYNUDZCcEwb3PIIzw9MI4z5Fw7fMfTFv/A26VaadXuMeoUTh5KkOz6Lp1y1ZadNUD7f90q4pwYdNiBH/1AL0Dw/Dx+xaCauSqLC3D0oPZmsdRY7tztmM7d0rBSvx5eAl8Q5Ig7+iCqSHLsSxkOj6wvo+M9XMxc91pzQyWKQsLC+zcvRsLFy3C2lWrMN3XlxZddUzLIVKCm0dWYPb6X2A6bgXWz6x6mLMQHPohH7HXHgIAIpzMMdDenOUR1Y/1UvCTq0jdngJFmzFYvW8jwmZOgvfMMGz7ejfmvw3kbNuHbwu00wQKqFh0nT1ntqbp0aCBztT0SIe0GCLl+OeXGMwLPIwHTkHY/tlQtG/iea1clZl3D1OPVWy+8zCXYMGo7iyPqOHYLAWrCq/i3LWnaOE2DP/u+GLWZvD6W3D3dADKs5H1x0Otf18HBwccTkrSND2ShYZS0yMd0FKIqFB282uEzdyAX6XeWL/BF2+bGGrnozmiejl3tXdPnh3xUIGNUrCq5BHu13CglT5IpVKER0RUWXSlpkfapZUQUf1zHpvnhuGb+/9C4I6gph/4zGFRyb9VKed2tWzF8oiaTt+7gg1avwErY6D0Ug7ylZUWP1R3kXfxJoC2aC/V7bqSetGVmh5pH/MQKbuBY8sXY+MlKYZHLof/262bcOAzt6WdlyP0bCEAwK9LS06Vc5nQVynYoK0TJvr3Ai5FI3TFIVz48y/cLvgdGbErsOSIHFLXCXCz0/09LNWbHlGnee1gFiKq+7i0PQQfH/wbPT9ei+UenQVViQEqyrmyr/MAVJRzV01+i+URaZdeSsEGbdHvk/9hW8DbuLVvEcb9eyCcnV3hG5GKB9ZeCFk0HJ2N9fOrhzrNax+DECnFrdQ1mLn6Z7QauRyb5vXB60KbggBYejBbcxkTPsKGs+VcJnRfClah5M+zSP2/S7iPFrDs7YYJk0bD2a4NyvMTseK/e3GhSL+LJtRpXnsMVCpVkyr0qpuHMP39YPxY3gKWvZ3Q1fTlOYhRvzlY698LLWp4f/Cui1hzRYEgeylWT9PvprWG2nsiT1ONiXAyR8h4e5ZHpHvK0jIsSbisuRsXqPizMzorWHkR0eOnYN2vtvDdGoWFLlZobgCg7BYy1n2EGdEXYDo5BqnL/g1TFn4RpaenY7afPzpZWyFEJoOLi4v+B8FjTZyJqKD8Kx9XywHgMQp++f6l294BI5hZtIVEO+PUu6sFDzQB0tfEiFflXCa0XwpW4fGldMRfKobx4CmYoQ4QADBqj4H+czDeDLh77CdkFz/T2p+jMSp3mqemR43XxF8tBmjRLwin8oO0OxqOUJaWYVJMpuZxnL8jL8u5TAzpY4EeVq2x9GA2Yq891JSC97haYex71o34+yjHo3t/Q4EW6P4vO5hXm2kYtO6G/v3NkPBVDvJuP8HA19m5XFQ3PYqPi8MSWRhSU1KwLSYGtra2rIyHT4S1qUVLKpdz97ha8bqcy0RtpeAPYy82ohT8Cpq1aFH7+TMGr0LSkjsbNKnTfONRiFRTvZw7ZbANyyNiX/VScOy1h40oBRugudQc7fEYv/2cg8LqK3BP5Mg+cwto7wA7C27cX0Sd5huHQqQSxcOSKuXcJeN6sDwi7qitFBy862I9pWADvGrbHx5vm+Dpib3Y8b280kHfpbiVfhB7c5+hrUsf2Eq4U96r3mmemh7VjkKkkkX7Llcp5wqxiQ8TNZWC11xRwDXyDE5dKazjjW9jYug02OEidk/zwOj5yxAVtRJhfp4YEZCAu2bjsSRgACuVmfq4uLjgcFIShrq7YbafP2ShobToWg2FyHNJGS925wbZSzGkj0U97xCvmnYFO++6UseuYEOY9puLnYdWYqqzCa5+vQubN2zD/vR8tBwaiC0HF3N6q0T1pkfUab6qJt8nwhSX7hO5WvAA3aLOA6i4jDkZMlB01ZimSjsvh+zrPM0Mrq+JEeL8HetYjC5D8d3buF1UjtdM28CsrQmv7nLOzc3FZzIZzp05i6Xhy+Hp5QWJhK83MmiH6GciytIyBCf8qnm8fbI9BUgj1LQruFvU+Tp2BRvBpK0lbGyt0J5nAQJQp/maiD5EopJ/w5HCimvcPa5WcLRpw/KI+EddCt7jaqV5rvGlYP6oqdO8mPffiDpETl0prFLOHfuedQPeVYq7uVm4cOES8u8L7ygGJqYMtmFQCuYfdad5sTc9Em2IKB6WYMGh3zSPl4zrobmMURV8jQXv9YSNx27kVr8T++k1HJVNxbhZychXcbCcwDJ1KTjC6UXbyIaVgvmppqZHYlt0FW2IrEzM0SwGHp/YvUo510D6Bto/LQVy/4S8yn4OFZSX0xB35jE6ew9DP1NhdW/TFkkzI4SMt298KZjHuN5pXpfd3EQZIkkZ+VXOjHmpnCt5A126tQQe/4HrhZUbCD/A5RPH8afhQEwaZsfbzYX64mjTBscC+zWiFMxvXO00fyQ5GZMneuvsZjnRhUjBnUea0+FqPTPGwBSd7NoBUKBQ8WIKriq6iG8OX4Xhu+74wLamBgekOmnL5ppdwWrqXcFXCx6wODLd4FqneblcjsCPF2CCj7fOWhyIKkSUpWWYt+vF9er2yfa1NBlqgfZdrGCI28i5UfT8lLYy3D2dgkN3OmO87yBY0nJIowzpY4Gbi//ViFIwv1XvNM9W06MVERHoZG2FTwIDdfY9RBUiO47nacq5GwdZ1FHONUabTl3QFsX46++HeAoAqps4efBbPG0/BMOdzATXR1YfxFYKVi+6bo2NwfGUVL13mo+Pi8PxlFSEyGQ6PZtYNCGSmXcP809WXJ96mEswY2hdu3MNIOnSE32Nn+LG73I8UKnwNPcHJP74FG9Nd4NjC4oQJsRWCq7c9EhfneZzc3OxRBaGWQFzdN6pTRQhonhYUuXMmE3THOq9K9WglQW6WhvjaU4+bj99hNyTabgAZ/i4dgV3ul/wl9hKwfrsNK9UKvGZTIZO1laYN3++Tr5HZaIIkcrl3MTRbzZsd66xGTrbtQHkhbinuIRvdp5DK6/RGGRJEaItYisF19RpvqamR2tWr2a0frJp40acO3MWURs26GVfj+BDJO28vEo5t8Fnxhi0hGW3DsDjHPy8PxFJt2wwxssJZnQlo3ViKwWrO83X1PQoPT0d26K3YF1kZJM+OysrC9uit2Bp+HI4ODhoc9i1EnSIFNx5hKH7K+5KrbWcW6vmaNe5C4yRicN701DUbzxG9xJnm0R9EGMpuHLTo8k+PvjiwAGsCA8HAByIT2j0fR1KpRILPvoIffs5wdPLSxfDrpFgQ0RZWoalB7M1j2sv59bGEK0sO6MTnuJ+kTEGjHkPNno6YEnMxFYKdnFxwb74eNj16IHQxZ/iRv51zddWhIc36rImIjwcN/KvY1l4uF7bEwg2RA798KLJUISTeRN25xrAuL017IwBmI3CVJdOVNbVE7GVgi0sLDBgwICXnr+Rfx1hMlmDPiM9PR0H4hMQuT5K7x3qBRkimXn3NGfGeJhLmn5mTNkTlMIEPX1H0D4ZFoilFKwux9bkeEpqvR3n5XI5VoSHY6i7GzxGjdLBCOsmuBBRlpZVKeeu9u7ZxCZDj5F3/Ai+e9YHnoO70T4ZloihFPxZPbONJbKwOm9SWxERAQAICQ3V6rgaSnAhsiThcpVyblPPjFHdycCOzadg6j0FI2mfDKuEXgreuXs3Uk+kIXJ9FIa6u9X4mtBPP61xM9+R5GTNXakWFuz0BRZUj9W083JNNcavS0vEzO3byE9Q4cnlvfh4/Y8o/isTP/3tjJWHP8eYzjQP4QrFwxKsTMzR7lnBHKNUKpGZmYmMH3/Etugtmuc7WVvhcFKS5hZ2uVyOQQOdMcHHG+HPZyNsEMxMpODOoypnxqya/FYTPkWFknvXkPHtt/jpdjfMigzCKAoQThFDKVgikaB///4ICg7G5Zxs7NufgAk+3pqFVqVSCaVSiYWffKLzzXUNIZiZiP/mc5pqTMY0ewy0N6/nHbUoK8bdu6Vo3lYKEyOqx3BZwZ1HmrOC1Rp/VjB/KBQKpKakICcnBzY2NghfugyJR5L1dlNZbQQxE9l7Iq9KObfJAQIARiZo264NBQgPiK0ULJVK4TNpEkZ6eCB86TLMCpjDeoAAAgiRqwUPNOXcviZGTS/nEt4SSykYqFgvWRwcjL79nPSyua4heB0iytIyTIrJ1DyO83cU5DSW1E8MpWCgYnMdG3el1oXXIRKV/JumnLvH1arJ5VwiDEIvBZ8+fVqzuU7fd6XWhbchknZeXuXMmCmD62oyRMREiLuCFQoFQj/9FEPd3fS6ua4heBki1cu5S8b1YHlEhGuEVgpeFxmJG/nXERIaypnLGDVehsjSg9may5jwETYNazJEREkIu4KPJCdrNtexdVdqXXgXIkkZVXfnvnRmDCHV8LkUrD7yga3NdQ3BqxC5WvCgypkxVM4ljcHHUrD6yIflz5sVcRFr9VDV46cAgCe/3sHD4C/rfb0SBvik/DWocy/q8UM8Dfu64jgHAIb25nhtyss9GQipTF0Kjkr+TbMw7/XlHwjKLcJiL7tGNq7SLfWRD1tjY3R65ANTrM1EVOUVZ9yqyqqfmF2z6GcSHH0+3K0GT/CWwYvr2bLvb6FcACU8oh98KAXr88gHpli/M8u4S2u0/NC1zteculKIZbsqeoT4dWmJKX7vVLmprCEzGUKqU5eC1buC1aXgCKc7rO4K1veRD0xxfk1E8bAECw79pnm8ZFwPuiuVaA0XS8F7du/R65EPTHE+RBbte9Fk6PjE7lTOJTrBlVJwVlYW1q5ahYWLFnFic11DcDpEKpdzg+ylVM4lOsV2KbjykQ9Tfafq/PtpC2dDpODOoyrl3KXeTWkyREjjsVUKZuvIB6Y4GSLK0jLM25Wlebx9sj2tgxC90veuYDaPfGCKkyGy43gejhRWnJq+cZBFE86MIYQ5fZWCFQoFq0c+MMW5EMnMu4f5Jyu6WnuYSzBjKO3OJezS9a7gMJlMs7mOjzgVIoqHJVXOjNk0zYEuYwgn6KoUrD7yYWtsDCc31zUEp0JkZWJOlTNjqJxLuEabpWD15roJPt6cvyu1LpwJkaSMfM1ZIkH2Ung6Wzf4vWXf38IrnairGdEPbZSCuXTkA1OcCJHq5dzFXnaNer/qnBKGHShEiH4xKQUnJSZq7krl8ua6hmA9RIpKy7H0YLbm8fbJ9pzaSUlIXZpSClYoFJrNdXy5K7UurK9a7rxdAqDiL5vKuYSP1KVg997tMXPfFZwrLsOaKwp8n38GUWO7v3QOklQqReqJNFhaWrI0Yu1ifSaiRuVcwneNKQXb2try6q7UurA+E1GbMqADbjZxf8L9vq9D8k8ZmvGwAa9Q0HEdFdSlYJdKh8uHni1EcvY9xPk7CvLvibWzeBf+72dEXud2f0tCtG2Pq5XgjjfhzOUMIWIw9dh1+G8+x/kG0Y3B2kyk4M4jPH5+nfjswWM8K1Iy+rxXTCV4pVULbQyNsx6XlOHa7X/YHgbRksbcC8VlrIUIIUQY6HKGEMIIhQghhBEKEUIIIxQigvEUt06swWw/f8wOP4FblVe6nubh8Ox3YfPmeGz4pQi0CEa0iUJEMIzRztEBrS7+H9J3JSAt9/Hz55X4M3kTVh/7B70DF2NGL1MYsDpOIjQUIgJi0NYRbu6dgfLzSD55DU+gwtM/v8HqlSnA0EUIn+4IE0oQomUUIkJiYIYBE8fjLcNiXN6ZikzFZexeFIETcEfw4lGwbU4JQrSPM3tniDYY4FXbgRjVpxUun/kK//vwe5w72wrD13+EUZ2FsdmLcA/NRITG2AZDpg6FFAX4OeN3mI4PRahHZ/ptQXSGQkRwjNDG0gqmAICu8PR0ghldxRAdohARmpIr2BO+HRXNJq8i6ZuLKKKaLtEhChEhURXhwtZwrD3bCsM+nI4BhuW4m/Itzt/V34HURHwoRASjHEVnd2HJxl/QauQCLJzvh8leVsC9FCR8f5NuMCM6QyEiEKqiM4hdtgs5rUcjNMgVHY3fQB/3D9AWRfjp8A/Ie0oxQnSDQkQIVLeQvjIM236VYnhYAIZ1bA7AEKZOQ+HZ3hDlZ5Jx9DL1ISG6QSHCeyW4eWQdQr+4jrbjFmHRcOsX5dwW9hgxfzw+cGmL30/ngGKE6AI1JSKEMEIzEUIIIxQihBBGKEQIIYxQiBBCGKEQIYQwQiFCCGGEQoQQwgiFCCGEEQoRQggjFCKEEEYoRAghjFCIEEIYoRAhhDBCIUIIYYRChBDCCIUIIYQRChFCCCMUIoQQRihECCGMUIgQQhihECGEMEIhQghhhEKEEMIIhQghhBEKEUIIIxQihBBGKEQIIYxQiBBCGKEQIYQwQiFCCGGEQoQQwgiFCCGEEQoRQggjFCKEEEYoRAghjFCIEEIYoRAhhDBCIUIIYeT/AeEWeEPQTenXAAAAAElFTkSuQmCC",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/73.jpg"
}
] |
<image>Find z.
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[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/74.jpg"
}
] |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
|
D
| 64,522 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/75.jpg"
}
] |
<image>In \odot X, A B = 30, C D = 30, and m \widehat C Z = 40. Find m \widehat Y B.
|
B
| 64,523 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/76.jpg"
}
] |
<image>Quadrilateral M N O P is a rhombus. If P R = 12, find R N.
|
B
| 64,524 | null |
B
|
[
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<image>Find x.
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wPRijLRCj2hPmcFsoWTPQHqKuI0L4DMPFsRTAZNBh1usw6BWMOuWEt8n/nuzynQwS3a/N3Z9L0zQSWrKnRjyhElM14gmt521c1YjE1TMOPycy63XkOk0M6woN3YWRmSnGri0eIxl2IynSJEqIAU+ChBADgKpp+MKJZKgIxvCEYnQE4zQHYsfUF4R76gzaA/Feay4GCkUBt9VIrtNE7jFHYXOdyW0ZlyVZD9JdF+KyGKS3gxCXIQkSQgxQmpbcEvFFEngjcXzho287uooTj6tL6Pl98s+BaHI7IpbQ+rVq0BujTsFi1GE36Um1GkizGki1GkmzdddqJOs23F1vnRYDDrP+uLeyRSHE4CFBQojLUELVTqpJOPH30YRGLKESSyRrHUKxBOGY2lPnEEtoyZoItJ6mTsltjmTthEGvHFNf0fXWqMPUtWVi0if/bDXosPXUZyTrMLprNqRNuBCDnwQJIQY5VdO6ah2042odVDW5UtF9CdBI1kooXUsFep2CQXdMbYVe6SnQFEKIbhIkhBBCCNFv0nheCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/SZBQgghhBD9JkFCCCGEEP0mQUIIIYQQ/fb/AUBfx/jNb1dWAAAAAElFTkSuQmCC",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/78.jpg"
}
] |
<image>Find m \angle Z.
|
B
| 64,526 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/79.jpg"
}
] |
<image>Find x.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/80.jpg"
}
] |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
|
D
| 64,528 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/81.jpg"
}
] |
<image>P Q is tangent to circles R and S. Find P Q.
|
C
| 64,529 | null |
C
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/82.jpg"
}
] |
<image>For trapezoid Q R T U, V and S are midpoints of the legs. If V S = 9 and U T = 12, find Q R.
|
A
| 64,530 | null |
A
|
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/83.jpg"
}
] |
<image>Find x. Round the angle measure to the nearest degree.
|
B
| 64,531 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/84.jpg"
}
] |
<image>In \odot C, m \angle H C G = 2 x and m \angle H C D = 6 x + 28, find m \widehat E F.
|
B
| 64,532 | null |
B
|
[
{
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lBAQK/aLcKQvXJcRUpzOw8M1fQSt4byYkR1kbis0ZHc+SMbHONE+kF1BIJXx82xRrqFhTS/R4YxMrz5P+7ko4XUxms1A08qRacDiMGhJJllojPKmQ8d4tk5xnnEivcmlyBFeOHwyArqZBSK8BPnKTLFyni+mZ1Yf51VJ7OjTEn6TwAOo09QDce+lQEkP9nGmeSC/z1o3jrc4IZMLHMy3PPbJwnSqmHw4X8crPB4UHXh78Zf4Ivj18yvr4xUV9q+WIyIUZGOzL3bNShQctjgg3ycJ1mpiyympY8sFWq8Ph0XnDyVKfhTohLP//5g0j2Ldv1KAWuTiWXznamvvUMjq5QxauU8RU2+JwsJTVXTI5idSoQNYesbQt8VTy9MLhzjBNxAWICPDkzumW8gMWj647ZOH2upjMZrj2/a3W1iRjk6NYOCKGjOJqNNV1ANw9PYkgbzG1oj/zzGXDraNSS/Crq2fh9rqYnv7pEP87fBKAsJAA7pqeDMDmjNMWiyQ8MX9Yb5sl4mIkBPuyYHS88MAyu3P1LNxeFdP3aad4dfUh4YGXB49dNgqlXIpGqyfT0t18xrAYBoeIHjwReOjSVNsDLp6F22tiyiyt4foPtwnzPKmE/5s/kmAfYSq3LVttTbG4TyweKWJhQWokUWEq4YElVcCVs3B7RUw1jXoWvPmL1eFw/ZRkUiJbm4xtPS6UfvJW+bB4tBjtICIgkcCd04UU9xYFuXIWrsPFZDbD4ve3crpMA8AlKVHMH94a/Z1XUYtWI8yDb580WGzOLGLDPdMSrWXAWnDVLFyHi+nxH35n6xHBpRkeGsBd022ncXtammQBd4lljUXaEaXyZnJLLyfLVG/N4UKXzMJ1qJi++f0k/1ybJjzw9uTRhaOQy1q/ZczArhNCvkpCVBCjY4IcaY6Im3LLRCFez7pY0hv5xAWzcB0mpnS1hps+sjgcZFIeXzDC6nBo4UR5LTQItfCuHZfgKFNE3Jwbx8Vbg15b9p5cMQvXIWI62+JwsLS3v3FKMskddDU/2CaL8qZLRDGJdEyQt5JJSZE2x/JcMAvX7mIymc1c8+4W1OVClO+E1GjmDovq8Nwjp84AMCDYjzGx4hRPpHMWjbJ4eZtbu6a5Whau3cX02Krf2XFMiLGLDFNx57TkDs+raTRwplroO7tguFjbQeT8XDOqzZaJl1BUx9WycO0qpv8eLOCtda0Oh8cWjkQm69jVnX662homslAUk8gFSArzJ3SApYJvy2fKxbJw7SamIyXV3PLxDkEgMilPLBiJ6jzBqtmWzFokEualRHZ6nohICzOTI4QftDprAqErZeHaRUzVWj2XvbnJ6nC4eVoySeHnrwOeUyqsqRIiAxkg5i2JdIEZLWIymRloCTNypSzcHovJZDazZMUm6k8JXSomDY3h0tSOHQ4t6AzNaM4KqemTBof21ASRfsKsIeHWn4NbipG6UBauvKc3ePyHQ5Ttyefo/iJqFXJM+TU0Hi6lIS6I+vgB1CcEYVB52VxzoqLWugE3YWBIT00Q6Sckh/kLhUm1Omq1BrxVPmg1DXzyWy5v3TAehZND0XosJr2xmcQ6IbTD32CE/DJU+WW25/h70xAdRENMMA1xQaSbjEIvWrmUCQmimES6hkQCl8QFcTBbzfGqOhYNi2HNvlxrFu6N4+Kda5/Z3LOA9pzyWi6/999cWlrHdLOU0Y1GPCtqkJpM573OBBR5KUgeMwivlHCUyeEohkciTw1F4iEWnBTpmLu+3Munm9MBeOmWqTzz9R4wmZk5MpZtjy10qm09HpmSw/wJHJvAx7lqPpbLeOe2GfhIwPdUNb4FVXifqsanuArv09V4VddZ3eFSIL7RgG5PDro9rXNeiUyKPDoY5eBwPJLCUQwNQzksEvmQkNY0ZpF+y7AolfXnWp2B1LhQsgrLrVm4MYE+TrOtx2ICuGdGMktz1WBsZndeKfOGRVOXGEJdou0UTqY14FtQxbff7SWmWstMs4SRDQaaLbUfAMzNJgynKjGcqqRhS7r1uEQhRxkfgnJwGMqUCBRDw1EOj0QWF4jYY6b/kBrRGpZWqtEyMyWSrMJyMJn5YGcuL13lvPJwdhHTrRMSWPqVB2ib2JZdwrxOuvo1eyuoSArl+3BfCPelZu5wrrx1Es1n6jFmlGHILEWfVUZTbhn6gnJMdY3Wa80GI015pTTllcLGI9bjUm8PFPFheCSFokyOQDEsAuXwCKQXcM2LuCfJYa1iqqhtZPrYBKEXboOOT3fm8OKi0U77brWLmLyUcv44cRD/2ZpFRWUtJ8/UEz/At8Nzz9S3NjCLCxaGZNkAX2QzB+Mxc7DNuc3FGgyZpRgyStHnlNGUV4a+sBKzZT8LwKRtoimriKasIptrZf7eKAeHoxxiGcmGCf+kgbaeRRH3IjrQW4ggN5qoqm+09sLdfKjAmoW7cOj5t2YchV3EBHDfzBT+szULgK1Zp/nT9I5j8qobWsUUE3T++a0sRoUsRoXngjYJhSYzxsIqDMdKMWRZRJZbhqH4DGZjs/W05lotjWkFNKbZhpvIQ/zxGBSOIikcRWo4yqHhKIZFIBFLi7kFUokElZ83mrP1aBqEL9VZKZFsTisAs5CF6/ZimhA/gCGxIeQWVbInv5w/TB6CUn6uw6C20WD9OTKgG6OEVIJ80ADkgwbgdU1roUqz3ogxtxJjRin6rFL0OeU05ZdjUFdDG8+isbIWY2Ut7GtT5UYiQREZiMdgwasoTwlHOSwCeXIoEqXdfkUidiLc3wvN2XpqGgUxhfl7ER8ZxMmSamsWbrBP70fV2PWTctf0ITyxshJ0evYXVDJtSNg559TrWsUU4mu/lpoSpdw6lWsrUXOjHkNmGfqMMoxZpehzy2nKLxME1bIrYDZjKKnGUFINO7Ja7ymXoYgZgEdimDCSDY0QRDZ4wDl1CXpKTU0NGzas5/DhI2RnZRMaGsqIkSOYNXMWI0aOsOtruTtBfoJQqptaP0uzUqP5vKTamoX7pBNqL9pVTHdOHcIT3+0HvZHt2ac7FJO2Tch8oI/jp1YSLyXKcbEox9lWPTJpGoW1WEYZxpwymo6XoT9RRrOmtcih2diMvrAcfWE5bDrWek8PBcqEUDwGh6FMCUc+NALlsEhksapu2bhh/QYef+JxzlaftTm+ceNGXnv1Na67/jpefPFFfH07Xof2NwIsPW+NhtZp/fiEED73VIJOz6c7c9xfTEHeSq4ak8DqfXmcVFdTXtNIWLupXFObdY2f0nmbs1KVFx5TB+IxdaDN8ebyOgzH1OizyzBml9F0XBCTqc1az9xkoCmnhKacEljX5p6+nigTwvBIChdElhqBYkQEspDORbBy5UqefOJJOts7N5vNfPftdxzPOc6aNWtQOPF35ir4tBT1N7Z+MSvlUqYkhrMnvYi84ir2FZ5hYsKAXrXL7guCP89MZvW+PDDD1mw1N00cZPO8sU2mpKdSZu+X7zGyMD9kc5PwnJvUetBspvmUBn2mGkNmGYbsUpryytGfrMSsb51qmOp16NJPoUu3LTAvU/miHBSGR3K4xbMYjnxYBEXVZTz77HOdCqktR48e5ZV/vMKzzz5rt/fqrnjILZ+bZtsom0tTotiTLnh1392WzcSEab1ql93FNC8lkvDQAMoqavjfcTU3jB+ItM36wtTmg6PoJHHQ5ZBIkMUH4hUfiNflQ1uPN5sw5p9Bn1GKIbOMppxSDPnlGE5X2XoWNfU0Hqqn8dAJm3su8zqIrqmRrvL5Z59z3333MWBA737juhpyueVz0+5LKG6AL2EhAZRX1rBy/wk++MMkfHrRgWT3V2qpwvnSqgPQoONwURVj41v/+K5a2rZbyKTIk0KRJ4XCtSOth81NRow5Fegz1BiyhPWYIb8cQ+lZ6y+g2Wxid9PJi3q5pqYm1q5dyx133GHPd+F2SFraYnTwWZqVEsk3lTXWLNyl04b0ml0Oke2904fw0k+/Q7OJbVlqGzH1h8gfiYccxchIFCNtM4jN9U0YMsrQZ5ZSdCiHxp++ueh7F5xwnTRtZ2FuUVEHn6UpQyL4Zm8uGJr5aEdOr4rJIZGj0SofZg2PASC7qAKNtnVdIW2jJkOz/YepTz75hClTpjBlyhQKCwt7dK/Vq1czZcoUbr7pZrvYJvH1QDkxDt87J6L629xu3aOHQf59AqOxRUznqslbKWNMguBFTssrJbsXs3AdFoa9dIYlasFkZkeO2npcIWt1OjTqm9tf1iOqq6t47bX/R2FBIYUFhTQ19ayE7qZfN1FYUMipIvt3rAsJCcXT8+L32eLi4+xui7uha3GJd5JFMDvVEhtqhne3914WrsPEdO3oWDwDhHChTdmtXQs8Fa1iqm2z6WYPnn/+Berr6i58YhfIyclh06ZNdrlXRygUCmbMmHFR18jlcq644goHWeQ+1Lc0jpZ3vEpJiQzAWyV89j7e03u9cB0mJrlUwp1ThEL8upoGskqEDUnvNu7w6nr7FV/PyEhn1ferun292WzmzJkzZGSk88Y/3+D6666nocGxXeqefOpJ5Iqu7xvdeNONREREONAi90BjaU2kPI+nbk6yEJ/Xm71wHZptd//MZOsicWu2MNXz9WyNeqhoE0HeU575698wmUxIpN17SwUFJxgxfATz5s7n9ddf58yZM3azrTOSk5N5+qmnunRuYmIiy5cvd7BF7kF1nfC5CfLoXEwzUyKtIV+91QvXoWJKCQ9gbKLg0TpcUI5W30yAV+s3sVrT9T2W87F69WoOHjyIr58fS5feY5d79hZ/vu/PvPraq3h7e3d6zuxLZ/Pz6p/x8hLTRwBKLGJSeXUezBrgpSA1Tqh8tT29mNMax/fCdfiOlk0Wbm4pI2KCrc8VV/f8Der1el54/gUAHnzwgW57uxISBpKRmW5zbPE115Kb6/geqrfeeitz5sxh1apVHDt2jJzsHEJDQxk2fBizZsxk5uxZDrfBXTCazGhrtQCofM8f29k2C/f9HY7PwnW4mG6dkMDSlR7Q2MS2bDWzU6IEl6bZzMmqnjsLVry9ArVaTWxsLPfeey/vv/9+t+4jlUoJCgq2OebRDW9bd4mIiODBBx/stddzV05W1Vv7Hw/wPf9IPTo22JqF+9mu4w7PwnV4hRIvpZxbJwjxeRWVNZScbQBvYXg+UVHbo3uXlZXxwQcfAPDcsudQXMRiXsQ9ySlv3TcK9T+/mKRSCXMtrWjKKmrYlK0+7/k9pVfK/bTtoL4lu4S4AGF9kFfWMzEtX7YcrVbLpMmTWLjQuWWeRHqHbHWrmCJVna8zW5iVEml1gjm6BU2viGliwgASLWulPXllhFt+CRXVddR3c68pLS2NNWvXIpPJePHFF+1mq4hrk37akvMlkRCpunBZr7AAL6EKLEIv3Gqt/gJXdJ9eK0R39wxLTQidnuaWTTSTmbTis51fdB7++vRfMZtM3HDDDaSkpFz4ApE+QfppoXuK0t8bD8WFP74lZ7XQkotmMnGqqt5htvWamO6cOgQsm2xFbRwP+wsuvpXid99+x7Fjx/Dz8+OZvz1jNxtFXBuT2cwRi5iGBF8461irb+YfbcrCvX7TZIc2Ie+1ZI+2WbgVZ2qFDTWTmX3dENNbb70FQIBKxQfvf2Dz3KG0Q9afP/3kU+IT4rj//gd6ZLuIa3Ck+Ky1bVFC6PnrIpqBdzdnoLXsL904LZnH5g497zU9pVdL77TNwsXLA7Q69uaXX/R96izxd6eLi3nnnXc6Pe+rr75CKpWKYuojbM9rbQiR2KYYZUd8f6CAnFMVAAwfGMa/b3d81m2viqltFi4GwfFQWlnDaU0D0V1YTLYQEhKCpJMNg8bGRmtMnbe3N35+fj03XMQl2J5jEZNMel4xHSio5FdLVrNngA/rH57bpfVVT+lVMUkk8KdpSbz8wwFoCaM3w8YMNXdPTezyfbZu29rpcytWrOAfr/wDgHXr15Gc3HExTBH3Y3NOKQDRIQEd1mQEOF3dwIdbM4TZj1zGxgfn9lox/15vK/HnGUNa81Asg8svGSWdX2Bn6urqqK2tRat1fKyWiP1IK6pGVyP8zYZGd+xE0DY188rGo2ApJ/fmHyYzs4Nyc46i18XUNgu3Jft4TcbpXqsNMXToMJKTkrl09pzeeUERu/DTkdZa8iNjzy0oYzbBO5vTrYK7ZUYKj8xO7TX7wAligjZZuBaMtVp2nahwhikibsLawxYxeXkwpANP3rcHT5BbJHiGRw4K57Pbp/ameYCTxLS4TRZuC98c7Fm9ho5QKs+NKlZYsjO7Escns+RGKeRizJ8zKdFoOVooeH3HxgYjafep3X+igs2HhEIz3iof1j88D6UTGuP1uA1nd3ngm/28u+GI9XHIAD8q3rjJGaaIuDiv/prJU1/tAeDPC0czrk2l1uLqBpb9uB/0zaCQsfPpRUwbHOoUO53W17JtFi5A5Zk6duaLUz2Rc/l6n6V4p4ecUbGtaTINTUZe3HBEEBKw4tapThMSOFFMKeEBjEm0rWfwyU7HJ+KJuBfHy2s5WiDsL41LCENuqQJsNsGKTRkYLYmCf5ydyoMznbsN4tSOy+0dEV8eKEBnMHZytkh/5P0dx61e3+lJrV++Xx84QX6x4HAYlRjBx7dOcYZ5NjhVTLdOSBDCilrQ6vhyv/0dESLuidFk5rPdwmxF7u9NalQgAHvzK9hi6QgZEOjL+ofmOsXh0B6nWtA2C7eF97b1TiUZEddnVVoRdZZA1QUpUUiAoqp6PtmWIZygkLH+4Xnd60DpAJwu57ZZuABH8stIK6p2kjUirsSKLZnCD1IJs1OjqNcZeWnjUWso2ru3TWPKwBAnWmiL08XUNgsXADO8+kt65xeI9AuOlFSzN+s0ACMSwvD3UPD2pmNWh8Mdc4Zy3/Sk892i13G6mADubNeZ/bv9+RSfFWPn+jMvrj1mdTwsHBXHV/vyKDhdBcCYIRF8+AfnOxza4xJiuntaaxYuAIZmlq096jyDRJxKXkUdP+zPByA6IpDK2ka2HTkJgCrQlw0PzUNh5wbd9sAlxNSShduWz3Zkc7Lacfn6Iq7LUz8esrbYnJIYzmfbLWsnpZwNj8wjzL/36hleDC4hJhCycG0wNPPEqkMdnyzSZ0krqubHfXkARISq+PbwKavD4cPbpjMpwXUcDu1xGTG1ZOEC1nyn73/L5eCpKidaJdLbPPD1PmvF1mazCeoEh8Nd84Zzz7SuJ5A6A5cRU0sWLtDaRdtk5p7/7OlbfXBFOuXr3wvZmyl48JQBPlRUCkVKL0mJ4r2bJznTtC7hMmICSxZuy8LSUkf6SF4Z7+087kSrRHqDOp2B+1fuFR7IpOgtSX5BwX6se2COSzoc2uNSYopW+TCzJQtXq7N6+B74Zj/qGq0TLRNxNI98d5CzLQ6nlpmIh5wND88j1M81HQ7tcSkxgW0v3NQoy2Zug447/r3beUaJOJQtOaV8trU12gGTCSTw8e3TmRB/boq6q+JyYrp2TBxKS2H/k2friY0Qghs3HTrJh7vynGmaiAOo1Rm4+aMdVqdDy/9L543krimu7XBoj8uJSSGVcPeUIQBoNQ3MGx4Llj649365h7wK+zSAFnEN/vTvPUKF3zZMSI3iXzdNcJJF3cflxAS2WbhpJyv5w+TWov9X/WsL+uZm5xknYjc+2pXHD7/ZJoSGDPBn7f1zkbuBw6E9Limmtlm4aYXlTBgcxohB4QBkn6xg6cp9zjRPxA4cLq5m6X922R60OBxC/DrvVevKuKSYQOiFC4ChmT25pdw9KxWlpaLRv7dk8pG4fnJbzjbquWLFZmhqk1Utgc/umMG4uODOL3RxXFZMf5gw0JqFuzVbjbdSxtMLRoBCWD8t/WIXe7rRQUPEuZjMZq761xbUbdppAty3YBR3TB7sJKvsg8uKyaddL9xTZ+qJDfblTzMtbUH0Rua8uUkMhnUzln61j13pxTbHJg+L5u0bxjvJIvvhsmKCc3vhAkxJDGPumIEA6GoamPP6L9Q0Oq61ooj9ePXXTD7ZZJv4GTrAn9X3z3FLh0N7XFpM7Xvh6o1CzN4NEwcxbKDgkDhxupr5b28WPXwuzn8PFvLU17/ZHvRUsvGReQzwcU+HQ3tcWkzQJgtXp+dAobBGkgD3zxlKZJgKgP1ZJSx+fzsmMSLWJfk1S80tH2xt3ZgFkMAXd05nTKz7Ohza4/JiumtqojVGb5ulJgCAUi7lyctH46cSepuuP3CCWz/b1eE9RJzHbwWVLHhrU2s/LgsPXjaaP7arTOXuuLyYgn08WDRayMI9qa6mvLbR+pyvp5y/XTnaGmH+3x05PPzdQafYKXIumaU1THn9F2sf2hamDo/hresvcZJVjsPlxQRw70xLnpMZtmWpbZ4b4OfJC4vGWN3oK9Yd5q8/p/W2iSLtyC6rZdIr66C+0eZ4eGgAq++fg7STNqrujFuIaUFqFGEhQk+ezcfVmEy2a6NIlTfLrxoL3kKo/is//i6OUE4kraiaMS+ttRaQtOaoeSrZ+Jd5BHmf2+qnL+AWYpJI2jgiGnQcLjo3lT06yIcXrx4HfkLE+Yp1h1nywXbRy9fLrM8oYexLa60d/FDKBceDBFbeNYNRUR230OwLuIWYAO6d3pqFuz1b3eE5ESovXl98CUHBQof1H37LZcLL68XEwl7i1V8zueKNjdDYBFIJcn8fa3/ZR64Ywy3jBzrZQsfiNmKKCWzNws06VUFNo6HD8wJ9lDx/zSUMiRWq2BzJKyPx7z+xObu012ztb9TpDFz93jahIZnRBB5yhkQPwFgrjE4zRsTyzyXjnGyl43EbMYFtFm5noxOAl1LGE5eNYtaoeMCSF/XqOh5b9TtGk7gXZU/2FFSS/PcfWW0pz+UZ4MPCEfHW/rKRYQH8dP+lfdLh0B6nteHsDgaTGd+HV6Kv0eKt8uGdmydf8Jo9eeVCEUPLPkdKfChfL53BSEt7EpHuoW9u5umfDvPG+iPWalIp8WHMGx7F2xssxzyVHFt2DcMjVc40tddwq5FJIZVw1+TWLNxsdc0FrhBi+ZZfOwFVkLCOyj5Zwahnf+SpHw+Jzolusiu/guS//cQba9IE0UglXD1pCHfMSObtLVnCMYmEr++Z1W+EBG42MgFkldUw9MlvwAxjhkRy/5yhXbpObzTxnz257M1sjViOiVDx4R+nsnBopKPM7VNU1TfxyHcHWLkzxxoaJPf35vG5w4kf4Meyn3+ntFwDwKOLxvaLdVJb3E5MAGNfXENabikoZLxz2wy8LTUiusLvhWd4f3uW4HECkMDCsQN556YJDArxc5DF7o3RZGbFtmwe++GQzSbsJSlR3DYlCS+ljA+2ZXHQEtk/a1QcW/6ygH6wTLLBLcX04a5c7v14GwA3Tk9h7rDoi7q+ttHAv3cd52h+Gw+fQsb9c4fzwlWjCPTqm5uK3eHnI8X85Zt9nFSfbT3o48l9M1IYaynDtSnjNN/uFDo+RoeryFh+DQH98HfolmJq0BvxfXAlNDYRFhLAy9d1L7Hs8KkqPtiVY22gBYCPJ8uuGMUTc1Pxatvmpp+xM7+Cx749wO/H23hNpRKmD4vl+vGD8LLMBrLVNby+5qAw7fPyIP25qxnWj9ZJbXFLMQHc+tkuVm7PAuDZ6ycRN8C3W/fRG01sPFbMmrQC6wYjgLfKh79fPpJHZifjqeg/otpbeIanf/idHelFrZVVgcExIfxhSiIxQT7WY1UNep74bp8wZZZI+O7h+Vw3Js4JVrsGbiumvYWVTH7uRwACg/14aM4wwgO8Ucq756Cs0xn56VABOzKLhY1HC34qH566bAQPz07Bpw+PVLvyK/j7z2nniCg8NIAbJw5meLRtGJDeaGLZT79TXil4VB+/ehyvLR7bmya7HG4rJoDEZ1aRX9wmTk8iQerrxUCVDxGBXkSqfIhU+RAd5IOqi8GVZxv0rD5cyK6s0zaiwteLB2ck8ejcVOKDujcKuhoGk5mvDxby9qZM0vJsI0TCQwNYPG6gdV3Unve2ZnEoR3A4zBkdz6ZH5vc7h0N73FpMr/6aIYSwdAWlnLAAHyJU3kQGCiKLCvTudDSraTSw4WgR/8sssi1JJZUwMTmSmycO5pbxCW4XAW02w/a8cr7Ym8eXB05iqrONWxwYHcyi0fEMj+k8IPWXY8V8vzsHgNiIQNKXX4O/p8KhdrsDbi0msxkKztSRUaoho0RDTqmG4+U15JRqqKtpsJmudMoFRjOdoZmtWWp+OlZ0zgcPuZTxiRFcPiKGa8fEMTQiwCHvs6fU6QysyzjN6sNFrE0/jVbTrvm2TMroQeFcMSqO+AusPTNLzvLG2kNWh0Pm8mtIDXfN993buLWYzketzkCGWkOmWkNWqSC03DINBRW1No6G8+IhJ8xfGM0iAn1objZTWFlLnrrKdgpoITDIl1nJkcxOiWBBaqTT9q0a9Ua25pazKUvNjuxSjp6q6NjeYD9mJkUyPSkCf68Ljyxn6nQ8ueqANSp81cMLuHZ0rCPeglvSZ8XUGS2jWXqJhszS7o9meCqF/5v0rZ0O2xEY5MvImCCSwlUkRwQwNELFsMhAIgLs029IZzCSXVZLRqmGbLWGnNIackpryD59pkPxAISGBDAuIYQJA0OJbuOZuxB6o4nnfjpo7eb39OLxvHz1aLu8j75CvxPT+bDLaNYVvD0YGhZAuMoLXw8lfp5y/LyU+HtY/vdSopRJqdPpqdUZqW3UU6czWP9ptE0UVNRRUV1nW/Gnw9fyZExUEMNigxkZE9RlR0x7/vW/TA7nCntO88cOZONDc/u9w6E9opi6QGejWWapBm1XR7PeQAKe/j6khgaQFKkiJTKQqEDvHt92w9FiftgjOBziI4M4tuxq/ESHwzmIYuohbUezTPVZjpfVOGY0a0EqAW9PYv29CAvwIjzA2+afp8K+iQAZp8/y5jqLw8Hbg+zli0kO87fra/QVRDE5CJPZTMGZejJ6MppJJeDlSVyAFxGB3kQF+hIb5HtR+2Y9obJWx1Or9guluqQSfn50IVeNiHH467oropicgF1GszaexshAHyIDfYhS+RCp8kYu6/liRm808bcfD1Jl6er3tyUTeGHRqB7fty8jismF6Gg0yynVkFVec1GjmdSno30zX1TeXV/nrNicwVFLVMTCcYNY/+Ac0eFwAUQxuQkto1lGiYasUseOZuuOFPHTb8cBGBgdxNHnrsbXQ3Q4XAhRTG6OvUYzua8X8QE+6IxGTpdacpd8PMldfg2JoaLDoSuIYurD9Gg0k0pY89hlXDn84hIv+zOimPoh7UezbIsTpO1o9tz1E1l2xUhnm+pWiGISsaFWZ+B4eQ2XxHWceiHSOaKYRETshFvVzRMRcWVEMYmI2AlRTCIidkIUk4iInRDFJCJiJ0QxiYjYCVFMIiJ2QhSTiIidEMUkImInRDGJiNgJUUwiInZCFJOIiJ0QxSQiYidEMYmI2AlRTCIidkIUk4iInRDFJCJiJ/4/s0OHW3n2miAAAAAASUVORK5CYII=",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/85.jpg"
}
] |
<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.
|
A
| 64,533 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/86.jpg"
}
] |
<image>Quadrilateral A B C D is inscribed in \odot Z such that m \angle B Z A = 104, m \widehat C B = 94, and A B \parallel D C. Find m \angle B D A.
|
B
| 64,534 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/87.jpg"
}
] |
<image>H is the incenter of \triangle A B C. Find m \angle H A C.
|
D
| 64,535 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/88.jpg"
}
] |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
|
B
| 64,536 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/89.jpg"
}
] |
<image>W X Y Z is a parallelogram. Find m \angle Y Z W.
|
D
| 64,537 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/90.jpg"
}
] |
<image>Find m \angle H.
|
C
| 64,538 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/91.jpg"
}
] |
<image>Find z.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/92.jpg"
}
] |
<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.
|
B
| 64,540 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/93.jpg"
}
] |
<image>Find x. Round to the nearest tenth.
|
B
| 64,541 | null |
B
|
[
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KFPXmx2Gt2TiwmQouE/qie0NwMoEZ+i7cTqrZ/Pg3id1RyYn8jVPXY2gx82daTlrHmYs3LYO5sjO1ZyOOjetA88pFjA0oj1S7uDevNakEwMkLUczaetTgRGIElZzIQ9xNSOK9ZXsoN3wpm0LOWAazOfH6i1W4McWfD5pVwdmBn86dVUztUA9yWB40O3jFPm7FJRqcSDKaSk7kD8xmWLDjJEWGLmXmuv3WqbgaVilK2LhOfPtaI7xzuhmcUp5Ufg83JrSvY1mIiWPYihBjA0mGU8mJ3Bd85jq1PlnN219uISbaMhVXwfy5CRzUguBhr1DDx8vYgPJUhjSrQokieQD4esshDl2ONjaQZCiVnDi8y7fj8P9qG35jV3Lg9FXLoLsrozrWJ2KiP/51ShgbUNLE2cnEnB6+loXkVPoEaF5LR6JbCMRhJaak8tnGg4xdE/pgKi6TiVcblmNml3oU9cppbECxmVZVi/JCrZL8sv8c2w9eYMX+85pH1EGo5MQhLQ89z6AlwVyOvG0dq1q6IPN7+tKoTAEDk0l6mdutIRUPXYCkFAYuDqZ19aK4ZtPBLHunP2FxKIcuR9N4ygY6zdhoLTh3z5x88XZTwke3U8HZsQoFc9O/WTUALkfeZsKPBw1OJBlBJScO4VZcIu8s2km1UUFsP3jBMuiSjf4ta3Jtij/vNi6vqbgcwPh2tXH3tByGHrNmP1duxxmcSNKbSk7sWqrZzIwtR8g7JJCvfwqH5FQAXqhVkmOfdWZ2l/p4uLsYnFIySm53F6Z3qmdZiEtg8LI9xgaSdKeSE7u1+dhVKo5aweDvfoMYyzf2EkXysPbDV9g8uDkVCuY2OKEYoXfj8lQpVRCApTuOs/PsdYMTSXrShSfyty5cuMD4ceMAKFW6NMOGDfvT6xvWr2fNmjUAvNarF76+vhme8X+djbrLgCW7WL/3NPw+XWEOdya0r8MHzargoplKHJrJBPN7+vLsp6sg1UzfhcGE/qutDlfbKZWc/C0fHx927tzJ9evXyebszJtvvkm+fPkAiIiIYNCgQcTGxlK0aFGmTJ1qaNbYxGTGrA1j6o8HICHZMuhkouezlZjWqR75PTRTiVg0LluA9g3KsXLnCcJOXeXfO0/xhm9Zo2NJOtDhSvlbTk5OvNqhAwApycksDwqy/JySwrvvvENsbCwuLi589fXXeHgYNxP/d7tOU+zDZUxdHWItuGcq+bDvkw58/0ZjFZz8xayu9cDdFYD3l+7mbkKSwYkkPajk5LF69eqFycnyV+WHH34AYNLEiYSHhwPw0UcfUbNmTUOy7Y24QZ1xa3h93mZu3YwBIJ+3B4v6N2PPiFbUKe5tSC7J/Ip65eSjVjUBuH3rLh+vCTM0j6QPlZw8VsmSJXmmbl0ADh06REBAAPPnzwegWbNmvPPuuxmeKfJOPN2/+ZV6o38g9MQVy6CbM8Nfrcv5SZ3pXq90hmeSrGfUy9UokM9yAdLnm8I5fT3G4ERiayo5eSLdunWz/jx0yBBSUlLw8fFh9pw5GZojKdXM+I0HKTQ0kMX/PQqpZjBBm/rliJjUhQnt6pDdVaea5cm4uzgzo1tDy0JiMgOW7DY2kNicSk6eSLv27cmd+8El9873z8P9cSy9rQ6/QJkRQYxaEgxxCQBULJGfLR+1Y3W/5ymeV3NNyj/XtW5J6lf2AWBjyGl+OnrZ4ERiSyo5eSKurq6ULlPGuty1a1dq1aqVIds+evU2TadtpN3UDVy4cgsA59w5mP1GEw5/0p6m5QtmSA6xX/O7+4KTCczQb1EwqWbz498kWYJKTp7I999/T9j+/dbl8AMH0n2bt+MS6btkF5VHBrHtwHnLoHM2ereowY0p/vRvUgEn3dwkNlCrWF56Na0MwKkLUczYctTgRGIrKjl5rBMnTjBmzJg/jR04cIATJ06ky/bMZpj73+PkG7qU+RsPQLLl6dzPVS/O4c86Mb9bAzyzu6bLtsVxTe34DOR0B+CDFfu4eS/R4ERiCyo5+VsJCQm89eabxMfF4eHhwZAhQ6yvff+f/9h8e9tORFJl9Er6f7ON5Dv3AChayIuV77dk25CXqVzI0+bbFAHIl9ONye3rWBbuxvHhin3GBhKbUMnJ3xoxfDinTp0CYPxnn9Gnb19y5MgBwMpVq0hJSbHJds7fjKXdvC00Hb+Ko+euWQazu/Fpl4acntCJdjWL2WQ7In9n8ItVKOWTF4Bvthzm4OVoYwNJmqnk5JFWrVpFYGAgAC1feYWOHTuSPXt2mjVrBsCtmzdZv359mrYRn5TMyFX7KTF8Gat3nbTMNelkouuzlbg6pQujWlbXgy0lwzg7mZjT4/78qymp9FkUbGwgSTPdUCQPdf78eT788EMAChQsyLRp06yvde3WjdWrVwMQsGgRbdq0eaptLN57hveW7Ob6jTvWsdrlCjOvpy/1S+ZLQ3qxlV9//ZXFAQEAjBg5khIlSvzp9cTERN4fPJjk5GReat6cV1991YiYNtWyig/Napfk59Bz7Dh0gaDQCDrVLvH4Nz6BP05o/iheefIwceJEm2xPVHLyCO8NGsTdmBhMTk7MmDEDT88H58IaN25M4cKFuXLlCsHBwcTExPyjeStDz0fRJ2Ane45eso555cnFdP/6vK5JcjOV6Oho64dyx06d/lJygYGB1qneuvj7Z3i+9DK3W0PKH7wASSkMWryTNtWK4eaS9iMKa9eufWzJ/e9/Y0kblZw81A8rVz7yNZPJREho6D9e5/WYBIas2MP32+7PVALg6swHLWowtk1NcmqmkkynePHi1p8jIyP/8vqCr78GoGrVqjR5/vkMy5XeyhXIzYCXqjN7/X6uXLvNZz8eZGzrGmleb4mSJfHz8/vL+K5du6znt2vUSPt25AF9qki6S041M+3nwwxfFQKx8ZZBE7SsW4bZ3RpQ2juXsQHlkUqWLGn9+dr/lNy2LVusFyUNGjQoI2NliPFta/HNjhPci47lk7WhvPtseYp4Zk/TOocPH/6XsR07dtCta1dSUlIoWqwYE3So0qZ0Rl/S1fpDlyg3cjnDA3ZYC65sMW9+Gt6a9QNeVMFlcl5eXtaraa9f//MTtOfOmwdAmTJleKVVqwzPlt483F34vFN9y0J8Iu8ttf28lqdPn+atN98kKSmJ3LlzsyQggDx58th8O45MJSfp4uS1OzT7fBOtJq/j3OWblsFc2ZneqzHHx3WgWaUixgaUJ1awoGXatGt/KLkTJ04QHGy58rD/gAGG5MoIbzcqR9XSln//oB0nCD5z/THveHLR0dF069qV27dv4+ziwoJvvqFMuXI2W79YqOTEpmLikxi4dA/lRyxj8/5zlkFnJ956qRpRU7sw+IXKmooriylUuDAAUTduWMfmzp2L2WzGx8eHTp06GRUt3ZlMML+nr+UHs5k+C4OxxbSWSYmJ9OjRgwsXLgAwYcIEGjVqlPYVy1/onJzYhNkMX28/yeCg3dyLjrWO+1UtxvwevlQr4mVcOEkTHx/LDP1RUVEA3Lp1i7X3rxDs3acPTk72/V25UZkCdGhYjhXBJwg/fZVvgk/yll/a9rgGDBhAaEgIAH379qV79+62iCoPoZKTNNtx5jp9vt/BwTMPLkwoXMCTmd0a2uz+IjHOg5KzHHb+6quviI+PJ3/+/LzWs6eR0TLMzC4NWBF6DuITeX/pbrrULUkuN5enWtekSZOstxG8/PLLjPrXv2yYVP6XfX8Fk3R1KTqOjl9spdHYlQ8Kzt2Vjzs14OyEzio4O/H7bQS3b0eTkJDAooULAXjzrbdwcXWMibJ9vLIzqpXl0VIx0bGMWr3/Me94uKBly5g1cyYA1atXZ/4XX9gsozycSk7+sYSkVD5eG0bRDwNZEXzCcqzSZKJTowpcmtKFsa1r2OTGWckcihWzzBuamprK/HnziIqKwtPTk7feesvgZBlr1MvVKZjf8pDgmZvCOXU95h+9f9fOnQwZMgSz2UyRIkVYFBCAq4N8STCSPonkH1kWEkHJEcv4NGg3xFseRVK9TCF2jG7PsneapPk+Isl8/jgDx/Tp0wF4rVcv660FjsLNxYmZ3e7Pa5mUQv/Fu574vWfPnuWNN94gKSmJXB4eBCxeTL58mrouI+icnDyRA5ei6Ruwg+BDF61jHl45mda5Pm/5lUMXTNovHx8fsmXLRkpKCsnJyeTImZO+ffoYHcsQ/nVKMLNKUXYevsimkDNsOnKZ5pX//naYu3fv0q1rV6KjowFo26YNR44c4ciRI3/53fbt26dHbIemkpO/FRWbwIcrQvh262FISbUMumRjYPPqjG9b66lPvkvW4eTkRL58+azTenXt0gVPLy9jQxloXo+G1Bq1AlJS6btoB8fHdcTZ6dHf8oKDg4mIiLAuBwQEEHB/0us/yuXhoZJLBzpcKQ+VajYz/Zcj5Bu6lG83H7QW3Et1SnNyoj8zO9dTwTmQQoUKAeDm5saAgQMNTmOsmj55eb1pJQDOXLzJzF/+ukf2R2fPnHmi9ZYqVSrN2eSvtCcnf/HT0cv0XRjM6YtR1rFSPnmZ08OXllV8DEwmRkhJSbHOdtLZ358CBQoYnMh4Uzo8w793nYG7cQxZGcL/+ZbFO6fbQ3/33d69ebd37wxOKL/TnpxYnb4eQ8tZm2k+ce2DgsvpzuQefpwY31EF56ACAgK4cvkybm5uDB482Og4mYJ3TjemtK9jWbgbx9AVe40NJI+kkhNiE5N5P2gvZUcsY+O+05anc2dzotcLVbg+tQtDX6r6t+ccxH7duXOHqVOmANCjRw/rYUuB916oTOmieQH499ajHLgUbWwgeSgdrnRw3waf4oOlu4m+ddc6Vr+yD/O7+1KrWF4Dk4mRJkyYwI4dO4i8epUbN26QL18+hgwZYnSsTMXZycSc7r60nLQOUlLps2gHwcNeMTqW/A+VnIPadfYGfRbuIOzUVetYgXy5mdGtIV3rljQumGQKe/fssc6tCDBp8mSHvqLyUV6u4kPzOqXZFHKGnYcvsjQkAv86muknM1HJOZgrt+N4f9keAnccf/B0bndXRr5Sk3+1rIa7i/5KCOT19qZUqVLky5ePfv3789JLLxkdKdOa060B5cIjICmFQYuDaVe9mGb8yUT0ieYgElNSmfjjIUavCYW4BMugyUS7BmWZ1aU+xfLkNDagZCoLFiwwOkKWUTa/B4OaV2fmuv1EXr/D+B/D+aR1TaNjyX0qOQfwQ9h5Bgbs5FJktHWscskCzHvNj+fK6nJwkbQa17YW324/QUx0LJ+u3c+7jSvg46Up7jID7VPbscNXbvPc1I10mL7RWnCunjmY+1YTDo1tr4ITsZFcbi5M969vWYhPZFDgk89rKelLJWeHbsUl0jtgF1U/Wsav4ectgy7Z6PtyTa5P6ULfZytorkkRG3vTtxzVy1husVix8yTbT18zOJGASs6upJrNzNp6jHxDlvLlpgOQbJmKq2nNEhz9rDNzu9Ynt7um4hJJDyYTzO/pa/nBbKbvwmDMZqNTic7J2Yktx6/Sd1EwxyOuW8eKF87D7G4NaVOjmIHJRByHb+n8dPIrT9D24xw8E8nX20/yTuNyRsdyaCq5LO7czbsMXLKbtXtOWWYqAcjhxvh2dRj6UlVcNFOJSIaa4V+foH1nIT6RwUG76fpMSTx0BMUwOlyZRcUlJjP8hxBKDVvK2t33C87JRPfnKhE5pQsjW1RTwYkYoIhndj5uXRuAe9GxjFqz3+BEjk0llwV9v/s0RYctY9KqfZCQDECd8kXYO7YDi958lgIe7gYnFHFsI1tUo3ABTwBmbQrn5LU7BidyXCq5LGRfRBR1x62l19zN3IyKASCvtwf/6fci+0a1pm4Jb4MTigiAm4sTM7s1tCwkpdBv8U5jAzkwnZPLAq7FxPNB0F4W/Xr0wVRcbs4MfbkmY1vVILur/hhFMptOtUvgW7UowYcu8nPoOTYcvqTHVRlAe3KZWFKqmQk/HqTg0EAWbTtiKTgTtKpXlrOT/Jn8ah0VnEgm9kUPP8hm+ZjtvyiY5FTdU5DRVHKZ1NqDFyk7IoiRi4PhnmWuyfLF87N5RFvW9n+BknlzGZxQRB6nWhEv3ny+CgBnL93k882HDU7keFRymcyxyDu8MP1H2kxZz/krtwBw8sjBzNef4+in7Xmhoh5aKZKVTO5QF3JZ5rH8cGUIN2ITDE7kWFRymcSd+CT6B+6m0shlbAmLsAw6O/FO8+rcmOrPwKYVcdJcXCJZTt4crkzrUNeyEBvP0OV7jQ3kYFRyBjObYf6vJyg4dClzN4RBUgoAjasV49D4znzZvSF5srsaG1JE0uS95ytRpqjl6ufvth1l/4WbBidyHCo5A/126hrVxqyi74KtxN+OBcCnoBfLB7/Mr0NbUqWwp8EJRcQWnEwm5vX0BROQkkqfgGCjIzkMXZpngIvRsQxcsoeVu05incE1uxtj29RmeIuquGbTdw8Re/NSpSK0qFOaH/edYfeRSyzZd46udUsaHcvuqeQyUHxSMuM2HmT8ujCIT7QMOpnw96vA553rUdhTD1kUsWdzujagbPh5SEzmvcU7aV+jKO4u+hhOT9plyCCB+85RYlgQ45fvsRZczbKFCB7dnsC3n1PBiTiAMvk9GNy8OgDXbtxh3MaDBieyfyq5dBZ26SYNJq6j66xNXLthmb/OM08uFrz7AqH/akvDUvkNTigiGemTNjXxzGO5z3X8ujAuRscanMi+qeTSyY3YBF7/z3ZqjVrB7iOXLIOuzgxuXZuLkzvzpl9ZPZ1bxAHlcnNhWuf6loX4RAYu2WNsIDunkrOx5FQzU38+TP6hS/nul8OQkgomaFG3NKcmdGZ6p2fI5aZnS4k4sjd8y1KzrGVih5W7TvLbqWsGJ7JfKjkb2nj4EhVGLWfowu1wNw6AMkW92TS8NRsHNqNMfg+DE4pIZmAyYbmlwMkEZjN9FgZbL7QW21LJ2cCp6zE0n/kzLSet48zF+zd55srO1J6NODauAy9VKmJsQBHJdBqWyk9n3/IAHD4byRe/nTA4kX1SyaXB3YQk3lu2h3LDl/JTyBnLYDYn3nixGjem+PNBsyo46+ncIvIIM/zrQ3Y3AN4P2kNMfJLBieyPSu4pmM2wYMdJigxdysx1+61TcTWsUpSwcZ345jVfvHO6GZxSRDK7wp7ZGdOmFgDxt2MZuSrU4ET2RyX3DwWfuU7NT1bz9pdbiLl/6W/B/LkJHNSC4GGvUMPHy9iAIpKljGhRjSIFLVP4zfn5IMcj7xicyL6o5J7Q5dtxdP5qG35jVxJ++qpl0N2VUR3rEzHRH/86JYwNKCJZkms2J2Z29bUsJKXQb/FOYwPZGc0n8xiJKal8tvEgY9eEPpiKy2SiQ8NyzOzSAB8vzVQiImnTsXZxGlUrxvaDF/hl/znWHbpIq6pFjY5lF7Qn9zeWh56n5LBljF22y1pwVUsX5LeP27G8d1MVnIjYzPzuvuBs+UjuvyiY5FTdU2ALKrmHOHQ5msZTNtBpxkauXLsNQA6vnHzxdlPCR7ejUZkCBicUEXtTtYgXbz9fFYCIy7eY+vNhgxPZB5XcH9y8l8jbi4KpNiqI7QcvWAZdstG/ZU2uTvbn3cblNRWXiKSbia/WAQ/LEaIRK0O4HpNgcKKsTyUHpJrNzNhyBO+hgSz46SAkpwLwYq2SHPusM7O71MfDXVNxiUj6ypvDlc871LUs3ItnyArNa5lWDl9ym49dpeKoFQz+7jeIsUzFVbJIXtZ92IqfBzenQsHcBicUEUcysGklyhXzBuD7bUcJPR9lcKKszWFL7mzUXVrN2UyzCas5eeH+X6Ic7kzo7sfJzzrySlUfYwOKiENyMpmY17MRmIBUM70DdEtBWjhcycUmJjNk+T5KD1/K+j2nwQw4mXjt+cpcm9KF4c2raiouETHUixUL0bJuGQD2Hr3E4r1nDE6UdTnUfXLf7TrN+4G7uXUzxjr2TCUfvujekNrFvQ1MJiLyZ7O7NWBDeAQkJPPekt28WrM47i4O9ZFtEw6xJ7c34gZ1Pl3D6/M2Wwsuf77cLOrfjD0jWqngRCTTKe2diw+a1wDg+o07fLL+oMGJsia7LrnIO/F0/+ZX6o3+gdCTVyyDbs4Mf7Uu5yd1onu90sYGFBH5G2Pb1MQrTy4AJmwI48KtWIMTZT12WXJJqWbGbQin0NBAFv/3KKSawQRtG5QjYlIXJrSro91+Ecn0cro6M92/vmUhPpGBgbuNDZQFmcxm+3oe7erwC/RfFMzFq9HWsYol8jOvpx9Nyxc0LpiIcCM2gfx9vgPg3RM3GHbGdpfH53njObwmtrXZ+jKTWp+uIezkFTDB1o/a0USfZU/MbnZnjl69Td+AYLYdOG8dc86dg8871qPvc+Vx0lQlIplKtmLe5CyYL83rSYlNID78XNoDZWJf9PSlwZgfINVMv0XBHBrbXrMvPaEsX3K34xIZsSqU+T8fgmTLw0txzkbvF6sysX1tPLO7GhtQRB7K/dVaFOhaP83rSTpwmYvNptogUeZVv2Q+uvhVIPC3Yxw5d435vx2n77MVjI6VJWTZkjObYe5/jzN4+R6S79yzjjepUZy53X2pXMjTwHQiIrY1vXM9AvedhbgEBgftoUe90uTWdIOPlSUvPNl2IpIqo1cy4Ntt1oIrWsiLVUNasvWDl1VwImJ3Cntm55O2tQFIvH2PEStDDU6UNWSpkjt/M5Z287bQdPwqjp67ZhnM7sanXRpyZmJn2lYvZmxAEZF0NKx5VXwKegEwb/NBjkXeMTZQFpAlSi4+KZmRq/ZTYlggq3edtE7F1fXZSlyd0oVRLavjoqm4RMTOuWZzYlb3hpaFpBT6BQQbGygLyPTn5AL2nGFw4G6u33jwjaV2ucLM6+lL/ZJpvzJLRCQrebVmcZ6tXpxfw8+zJSyCtQcv0rpaUaNjZVqZdk8u9HwU9Saso8ecn60FlyevB//u+yIh/2qjghMRhzWvuy84Wz6++y8KJinVrm53tqlMV3LXYxLo9d1v1Pl4BXuPXrIMujnzQZs6XJjcmf9rUMbYgCIiBqtS2JN3XqgKwPkrt5jy0yGDE2VemabkklPNTNx0iAJDA/l+yxHrVFwtnynDmYn+TO1Yl5yumf7oqohIhpj4ah2cPHIA8NGqEK7FxBucKHPKFCW3/tAlyo1czoiAHXDP8gdVrpg3P49oy/oBL1LKO5fBCUVEMpc82V35vOMzloV7CXwQtNfYQJmUoSV3PPIOzT7fRKvJ6zh3+aZl0CM7n/9fY46N68CLFQsZGU9EJFPr36QC5YvnB2DRr0cJOW+7uUDthSElFxOfxMCle6g4chmb95+zDDo78dZL1Yia0oX3nq+suSZFRB7DyWRiXg9fMAGpZnov1C0F/ytDT3KZzfDV9hO8H7SHe9EPnovkV7UY83v4Uq2IV0bGERHJ8l6oWIhWz5Rl3Z5T7Dt+mYV7ztBTz8q0yrCS2376Gn0WBnPoTKR1rHABT2Z2a0in2iUyKoaIiN2Z1bU+6w6cg4Rk3l+yi441i5NdF+oBGXC48lJ0HB2/2ErjT1Y9KDh3V0Z3bsDZCZ1VcCIiaVTKOxdDWtQA4EZUDGPXHTA4UeaRbiWXkJTKx2vDKPphICuCT1iOVZpMdGpUgUtTujCmVQ3cXDLFxZ0iIlneJ61rkievBwCTNoZx/mbsY97hGNKlZZaGRFByxDI+DdoN8YkAVC9TiB2j27PsnSYU8cyeHpsVEXFY2V2d+fz35/MlJDNgyW5jA2USNi25A5ei8Z20ni4zf+TqtdsAeHjl5Kt3nifs47b4ls5vy82JiMgf9KpfhtrlCwOwZs9Jtp6IfMw77J/JbDanedKzqNgEPlwRwrebD/71RVdncNWD/UQEy2mL2Pszc5hMYIunh6SaMcUnY87uAjnc0r6+rO5unPXHiiXyc/iT9g59S1aaSi451cysrUf5YMW+P/2HFRGRzGH2G03o36SC0TEM89TXmMYnJTPhx8OERtygVWUf6/iu05E0KFPQJuFExP6Y78ZDQrLN12vSntxDhV+8aXQEQ9nkcKWIiEhmpGv4RUTEbqnkRETEbqnkRETEbqnkRETEbqnkRETEbqnkRETEbqnkRETEbqnkRETEbqnkJMO0b9cOPz8/fv7557/9vejoaKZMmUKHDh147tlnad68OaM++ohdO3dmUFIRWLBgAX5+fvj5+XH27Fmj48hT0qNjJUNcvnyZ3bstj/64c+fOI38vJCSEt958k8jIP8+efjA8nH9/9x0DBgxg+PDh6ZpV5ObNm0yePJm7MTEAJCQkGJxInpb25CRDTJgw4bG/k5KSQr++fa0FlydPXl588UXq1KmDyckJc2oqs2bOZOPGjekdVxzcJ598Yi04ydq0JyfpIj4+nsjISI4dO8aiRYv4ZfPmx75nyZIlnD9/HoBatWuzZs0asmXLBsD6det45513MJvNTJ82jZdffjld84vjOnToEMuDgoyOITaikpN00b9fPzZs2PCP3rN71y7rz1OnTrUWHMArrVpRu3ZtQkJCOHbsGCkpKX96XcRWPho5ktTUVOvRA8nadLhSMo1z584B4OnpSaVKlf7yeqXKlQHLYc2IiIiMjCYOYvXq1ezdu5dcHh68++67RscRG1DJSbqYMXMmhw4ftv4zc+bMx74nNjYWgLze3g993cX5wYGHu3fv2iaoyH2JiYl8+sknAAwYMAAvLy9jA4lN6HClpItcuXL9aTlP3ryPfc///d//cTUykoIFCjz09d/39EwmEyWKF09zRpE/mjVzJpcvX6Z48eL07t2b+fPnGx1JbEAlJ5nGa716PfK1c+fOsfP+fXI+Pj546lu22NDVq1f54osvABg9ZgwuLi4GJxJb0eFKyfTu3bvHaz17Eh8fD0C37t0NTiT2ZuyYMdy7d4+Gvr66ctfOqOQkU0tKTOSN11/n1KlTANSsWZM+ffoYnErsSWhoKGvWriVbtmyMGzfO6DhiYyo5ybQSEhLo3r07v/76KwClS5dmyZIluLm5GZxM7MnIESMwp6bi7+//0Kt6JWvTOTnJlOLi4ujWtat1KrAiRYoQFBSkc3FiU8uWLiU8PBwPDw8+GjXK6DiSDlRykunExMTg7+9P2P79AJQtW5ZlQUEUKlTI4GRib2bMmAGAp5cXX/zP1ZQhoaHWn79ZsICSpUrRr1+/jIwnNqCSk0zl3r17dOrYkfDwcMAyvdfixYvx9PQ0OJnYo5j781NevHCB2bNnP/L3AgICcHJyUsllQSo5yVT69e1rLbimTZvy7b//rXNwkm7y58+PyWR66GtxcXHWCQpy5MiBh4dHRkYTG1HJSaYRGhrKpk2bAKhdpw7f/ec/ul9J0tWWrVsf+dqsWbOYeP/pGevWr6dixYoZFUtsSFdXSqax8f6EziYnJxYsWKCCE5E0056cZBrB92c0yebkxE/39+gexc/XlzLlymVELBHJwlRykmlcu/+w1OTk5Mc+/fuzzz5TyYnIY+lwpWQIZ6cHf9XcHnEY8veT/E/CxdU1zZlEnpSr/r5lWSaz2Ww2OoSIiEh60J6ciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYLZWciIjYrf8HbWEAwS318zsAAAAASUVORK5CYII=",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/94.jpg"
}
] |
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/95.jpg"
}
] |
<image>Find y so that the quadrilateral is a parallelogram.
|
A
| 64,543 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/96.jpg"
}
] |
<image>In quadrilateral P Q R S, P Q = 721, Q R = 547, R S = 593, P S = 756, and m \angle P = 58. Find Q S.
|
D
| 64,544 | null |
D
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/97.jpg"
}
] |
<image>Find m \angle S.
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C
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C
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/98.jpg"
}
] |
<image>Find z in the figure.
|
A
| 64,546 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/99.jpg"
}
] |
<image>Express the ratio of \tan A as a decimal to the nearest hundredth.
|
C
| 64,547 | null |
C
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/100.jpg"
}
] |
<image>\triangle E F G is equilateral, and E H bisects \angle E. Find x.
|
B
| 64,548 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/101.jpg"
}
] |
<image>If b = 18, find c.
|
D
| 64,549 | null |
D
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/102.jpg"
}
] |
<image>Find x. Round the side measure to the nearest tenth.
|
C
| 64,550 | null |
C
|
[
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<image>Find y.
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/104.jpg"
}
] |
<image>Find z.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/105.jpg"
}
] |
<image>Find x. Assume that segments that appear to be tangent are tangent.
|
A
| 64,553 | null |
A
|
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/106.jpg"
}
] |
<image>Circle O has a radius of 10, A B = 10 and m \overrightarrow A B = 60. Find m \widehat O X.
|
B
| 64,554 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/107.jpg"
}
] |
<image>Find A B.
|
C
| 64,555 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/108.jpg"
}
] |
<image>Find the radius of \odot K. Round to the nearest hundredth.
|
B
| 64,556 | null |
B
|
[
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1mHnLTBQWFnZp/O133I6PP/6YPlyZCRVzQsgNaWlpQVJiEpRKJdQaNbKyjnVY0/0PLpeLCRMmICoqChKpBAKB4Ib/gU/QxWPpw8tQUWHspz527Fh89+23GDt+3M38VkgXlZaWYsUjK5CUlNTpe87Ozlh430L8+suvqLm8r/qUKVOwfcd2eHp6mjtqv0PFnBDSZceOHYNcLodGrUFySjLq6+pNjhvp4wMeLxJisRhSqRQeHh43/d6//fYbnnziSWa3rxkzZmDL1i9oP24zMxgMOHToEOLj43Es6xiGDRuGaUHTMGfOHHh5eSE/Px+LH1yM/Px8AMDw4cOx48cdmDx5MsvJrRsVc0LIVZ09exbyo3Ko1epOO4y15zHIA5ERkRAKhZBFyzBq1KgezbF1y1a89tpr0Ov14HA4WLVqFV548QVwOJwefR/SM2pqarDs4WXQaDQAjL3bv/vuO/CieCwns15UzAkhjMrKSsjlcuOktdg4kzuMAcZbqtOnT4dAKIBMJsWUKVN7rbBu2rQJH23+CIBx2dlbb72JRYsW9cp7kZ6j1+vx1P89hZ9//hkA4OjkhC+/3IoZM2awnMw6UTEnpB9rbGyEVqM1TlqLjUVubi70Jiat2drZYerUKRDwBZBIJQgLCzNLb/PXX3sdn3/+OQDjjOqtVAwszqZNm/DxRx/DYDDA3t4eW7/cilmzZrEdy+pQMSekH2lra0VKSgrkcgW0Gi0yMjKYZ9DtcbhcjPXzA1/Ah1gshkgkNPuz6fZX5C4uLti2bRsieV1vKUr6jq1btuK/r70Gg14Pe3t7fPftt5DIpGzHsipUzAmxcrm5ucx676TkZNRenmn8b17eXuBF8iAWiyGRSjB06FDzBm1n65at2LhxIwBjIf/xpx8RGhrKWh5y87766iu8+uoGGPR6ODk54eedPyEsLJztWFaDijkhVqakpARHjx6FOsY4ae2fTUf+zd3dHWFhYRCKhIiOjsaYMWPMnNS0Xb/uwuPr18Og18PRyQk/7thBV+RW4vPPPsfrr78OAHBzc8Pe3/di4sSJLKeyDlTMCbFwVVVVUKlUiFEZO62dPn3a9A5jTk4IDg6CgC+ALFqGwMDAPjcbXKVSYfGDi9HS0gJbOzt8883X9Izcyrzx+hv47LPPAABeXl7Yf2A/hg8fznIqy0fFnBAL09zcjNhYLZRKFWK1scjJyTHZPtPG1gb+/lPA50dBIpGAF8mDnX3vT1q7UcePH8edd96F2poacLhcfPjBB5i/YD7bsUgvWL9+PX7Z+QsAYNKkSfhz/x/UL+AmUTEnpI/T6/VIT0+H/KgcWq0WaWlpaGxs7DSOw+Fg9JjRxk5rYgmEIiEGDhzIQuLuu3jxIm6ddSvTv/2ZZ5/B+vXr2Q1Fek1bWyseWPQgVCoVAEAqleKH7T+Ay+WynMxyUTEnpA86dSoP8n8mrSUmoaqqyuS4YZ6eiIyIgFgiglQqs8jblS3NLbj7nruRmpIKAFiwYAE+3Pwhy6lIb6uvr8Mdt9+JnJwcAMCKlSuwYcMGdkNZMCrmhPQB58+fh0KhgEqpgk6nQ2lpqclxrq6uCA0LhVgkglQmw/jx482ctOc9+cSTTGORyMhI/LrrF9qHvJ8oKS7BrFmzcPHiRXA4HHz8yce0Yc4NomJOCAtqa2sRExMDlcr43Ds/P9/kpDUHBwdMmzYNfAEfMpkMwcHBVnUr8ocffsCzzzwLABg5ciQOHT4Ed3d3dkMRs0pKSsLce+eiubkZTk5O+HP/n9TH/QZQMSfEDFqaWxCfEA+lQgmtVotjx46htbW10zgbGxtMnDSRee7NF/Dh4ODAQuLel5WViTvvuAuNjY1wcnLCH3/+AX9/f7ZjERZs27YNzz37HABg9OjROHL0ME2I6yYq5oT0AoPBgMzMTOMOYxotUlNS0NDQYHKsr68veDweRGIRpBIp3NzdzJzW/Orr6zAj+hacPn0aALB582aaud7PrVu3Drt+3QUAuPPOO7Fl6xaWE1kWKuaE9JDCwkKmWUtCQiKz5/a/DRkyBBGRERAKhZgxIxre3iPMnJR9a9euxe5duwHQhDdi1NTUhJm3zMTJkycB0Ae87qJiTsgNKi+/BLlcAZVKBV2cDufOnTM5bsCAAQgJCYFIJIJUJu33zwP3/7kfjzzyCABg7NixOHL0iNU+SiDdc+LECdx6621obGiAi4sLjsqPwsfHh+1YFoGKOSFd1NDQALVaDZVSBa1Wi5N5eTCY2GHMzs4OAYEB4PP5iJbKEBIWQrOzLysvvwShUISK8grY29vjz/1/YOrUALZjkT7k66+/xssvvQzAuLph92+7+1ynwr6IijkhV9HW1orEhCQolApotVpkZmSipaWl0zgOl4sJ48cbJ61JJRAIBHBycjJ/YAuwfNlyHDhwAADwzDPPYP0T69kNRPqkeXPnQavVAgDeePMNLF26lOVEfR8Vc0Layc7OhkIhhzpGg+TkZNTV1ZkcN3LkSETyIiESiSCTSTFo0GAzJ7U8f//9N5Y+ZPxHOSAgAAf/OmhVy+xIzykpLoFYLEZtbS1cXF2hVsfA09OT7Vh9GhVz0q8VFRVBflSOGHUM4nXxuHTpkslxHh6DEBERDqFICJlMBl9fXzMntWyNjY0Q8AUoLi6GrZ0d/v77r34/d4Bc2zfffIOXXnwJADB79mx89fVXLCfq2+hBHulXKisroVQqoVKqEBcXhzNnzpgc5+zsjODgYAiEAkilUgQEBNBzu5vw4QcfMn3Xly17mAo5ua6lS5fi119+RXp6Og4ePAi1Wg2hUMh2rD6LrsyJVWtqaoJWo4VSqYQ2Vovc47nQm5i0ZmtriylTpkAgEEAilSA8PBx2dn13hzFLUlx8DgK+EI2NjRg+fDi0sVqaU0C6JCMjA3Nmz0FbWxsmTpyIo/Kj9GjmKujKnFgVvV6PlJQUKBQKaNQapKeno7m5udM4DpeLsX5+4EXxIJFIIBQK4eLiwkJi6/faf19ndnl74cUXqJCTLgsMDMTcuXOxc+dO5Obm4scff8QDDzzAdqw+ia7MicU7ceIEFHIFYtTGHcZqampMjvPy8kJkZKSx05pUimHDhpk5af+Tk5ODW2bcAr1ej4DAQPz9919sRyIW5sKFC+DxeKivq4eXlxd0Oh3s7Omu2b/RlTmxOKWlpUynNV18PM6XlZkc5+bmhrCwMAhFQkRHR8PPz8/MScnbb73NPNZ4+eWXWE5DLNHQoUPx8NKH8emnn6KkpATffvctVqxYwXasPoeuzEmfV11djRilCqqYGMTGxeJ0wWmTO4w5OjoiODgYfD4fUpkUQUFBNGmNRcePH8eM6BnQ6/WIjIzEb3t+YzsSsVA1NTUICw1DdXU1hg8fjviEeJrT8i90ZU76nObmZuh0OigUCsRqY5Gdk4221rZO42xsbTB50mTwBXxIJBLweDzY29uzkJiY8tHmj5ir8qeeforlNMSSubq6YslDS/DJx5+gtLQUO3fupGfn/0JX5oR1BoMB6enpUMgV0Gg0SE1LQ6OJHcY4HA5Gjx6NqKgoiEUiiCRiDBw4kIXE5HrKysoQHhaOlpYWBAUF4cDBA2xHIhausrISoSGhqK+vx/jx46GKUbEdqU+hK3PCivz8fMjlcsSoYpCUlITKykqT44YNG4aIiAiIxCLIZDJ4eXmZNyi5Id98/Q3T+nbloytZTkOsgbu7O+655x7s2LEDJ0+ehFarBZ/PZztWn0FX5sQsLly4YJxxHhODuLg4lJSUmBzn4uqKsNBQCIVCyKJlmDBhgpmTkpvV1taKkJAwnC8rw/Dhw5GUnERrg0mPOHnyJCQSKQx6PXWF+xe6Mie9ora21rjDmEqFWG0sTuXnm9xhzN7eHtOmTQNfwIdUKkFISCj9w2/h/v7rELPCYMHCBfTfk/SY8ePHIyw0FAkJCTh8+DDKyy/RvgiXUTEnPaKlpQWJiYlQyI07jGVlZaG1tbXTOC6Xi4mTJoIfxYdYLAZfwIejoyMLiUlv2bZtGwDjBMUlS5awnIZYmwcXP4iEhAS0tLRg+/YdWLduHduR+gS6zU5uiMFgwLFjWTh6VA6NWoPU1FTU19ebHOvj44OoqCimWYu7u7t5wxKzKSsrQ2hoKNpa2yCRSPDjTz+yHYlYmZZm46TKiooKjBs3DjHqGLYj9Ql0ZU667MyZM8YdxmJiEJ8Qj4ryCpPjBg8ebJy0JhJBFi3DyJEjzZyUsGXnzp3MMsL777uP5TTEGtnZ22HO7XOw/YftyMvLQ0Z6BgKnBbIdi3VUzMlVVVRUGGecx8QgLjYORUVFJsc5D3BGyPQQCIQCREdHw9/f38xJSV/x+++/AzB235t1660spyHW6r777sP2H7YDAH755Rcq5qDb7KSdhoYGaDQaqJQqxMbG4sSJE6Z3GLOzQ0DAVAj4xu1BQ0JDqBsTQX5+PoQCIQwGA+YvmI/NmzezHYlYMV4kD4WFhRg+fDiSU5L7fbdHujLvx9raWpGcmAy5UgGtRouMjAxmbXB7HC4X48eNMzZrkYghFArg7DyAhcSkL9vz2x6mze4999zDchpi7WbPno0vvvgCpaWlSE5ORmhoKNuRWEXFvJ85fvw45EflUKvVSE5ORm1trclx3t7e4EXxIBaJIZFKMGTIEPMGJRbn0KFDAAAPDw8IhUKW0xBrd9fdd+GLL74AAPzxxx9UzNkOQHpXcfE5HP1n0pouHhcvXjQ5zsPDA+Hh4RCKhJDJZBg9erR5gxKLdv78eRw7dgwAIJFIaG056XWBgYHw9vZGcXEx5Efl2LhxI9uRWEXF3MpUVVZBqVJCpVQhLi4OZ86cMbnDmJOTE4KnB0MgEEAmlSEgMKDfP3MiN+7vv/9m5lfMnDWT5TSkv5BKpdixYwfy8/Nx9uxZ+Pj4sB2JNVTMLVxTUxPitLFQqJTQarXIPZ6LtrbOO4zZ2trC39+f2R40IjwCdvY0aY30DJXSuOmFra0tZDIZy2lIfzHjlhnYsWMHDAYDDh8+jIcffpjtSKyhYm5h9Ho9UlNTmU5raWlpaGpq6jSOw+HAz88PvCgeJGIJhCIhXF1dWUhM+gOdTgcAmBowlX7OiNmIRCLY2dmhpaUF6hg1FXPSt508eRIKuRwxajUSExJRU1Njctzw4cMRGRnJdFrz9PQ0c1LSH+Xm5qK8vBwAwI+iXayI+Tg5OWFqwFSkpqQiKSmJ7TisomLeB5WVlUEuP4oYlRo6nQ5llzet+LeBAwciLDwMQqEQ0VIZxo4fZ+akhAAajYY55guiWExC+qOIiAikpqTi0qVLOHUqD2PH9s9/B6mY9wE1NTVQx6ihUCoQFxuHgoICk5PWHB0dMW3aNAgEAkhlUgQFBdGsYcK6pETjFZGNrQ0iIiJZTkP6Gx6Phy1fbAEAxMXpqJgT82lpboEuXgelQgmNVovs7GNMP+v2bGxsMGnSJPAFfEgkYkRF8WFvb89CYkKuLiMzAwAwbuw4ODk5sZyG9DfhYeHgcLkw6PVITUnFAw88wHYkVlAxNwODwYCMjAwo5AqoNWqkpqahsaGh0zgOhwNfX1/weDyIJWKIxWK4ubmxkJiQrmloaMCZwjMAjJPfCDE3N3c3jBwxAmfPnkVWVhbbcVhDxbyXFBQUQC6XQx2jRmJiIioqTO8wNnToUERERkAoFGJG9Ax4eXuZOSkhNy4jI4NZChkQEMByGtJfTZ48GWfPnkVeXh4MBkO/7JlBxbyHXLx4EQq5wrjDWFwciouLTY5zcXFBaGgohEIhpDIpJk2aZOakhPSc7Oxs5jhgKhVzwo5Jkyfh0KFDaGhowOnTpzFmzBi2I5kdFfMbVF9fB7VaA6VSiVhtLPJOnYLBxA5j9vb2CAwMvPzcW4LQ0BDY2NAfO7EOJ06cYI5p61vClvYXRTk5OVTMydW1tLQgKTEJCoUCGq0GWVnH0GpihzEul4sJEyaAz+dDLBFDIBDA0dGRhcSE9L6C/AIAgMcgD7i50/wOwo6JEycyx3l5eSwmYc9NF/Mvt25FfX3nyVz/4HA5GDZsKLy9R2Ck9wiMGetnEcupDAYDsrOzmefeKakpqK+rNzl2pI8PeLxIiMViSKVSeHh4mDktIewoKioCAIwc2X97YhP2+fn5MTPaC08Xsh2HFTdVzCsqKrBx439Nrom+Gl9fXzy+/nHMnz+/zxX1s2fPMtuD6nQ6pqvVv3kM8kBkRKSxWcuM6H7d3J/0b6VlpQCAkSNGsJyE9GcODg4Y5OGBS5cu4dy5c2zHYcVNFfOEhIRuFXIAKCwsxJNPPIlzRefwf0/93828/U2rqKiAQnF50lpsHM6ePWtynPMAZ0wPng6BUIDo6Gj4+/v3y9mShLRXXV3N3K3y8qJVGIRdwzyH4dKlS1ftmGntbqqYJyclM8cDBw7EokWLOnxfb9CjtqYWFRUVSExMxIULF5jvffLJJ7jv/oXw9jbPJ/ra2lrExMRApVIhLjYOp06dMvlBxMHBAdOmTQNfwIdUKsX06dP73B0EQvqCM2eu3M4cNYruThF2jfAegZzsHJSWlrIdhRU3VcxTU1OZ4+DgYLz8ystXHWswGPDaa68xbfeam5uRmpLWa8W8pbkFCYkJzO5ix44dQ2tra6dxXC4XEydNBJ/Ph0QsAV/Ah4ODQ69kIsSaXLx4kTkePGQIi0kIAQYPHgzA2B5br9f3u4uwmyrm7deYBk8PvuZYDoeDl156CV9/9TVaLs8CP5V/6mbevgODwYDMzEwoFAqo1Rqkpaaivt70hLVRo0YxXdakEinNwiXkBlRUVDLHHu5dm/RZVFSE1197HQAwxm8Mnn322Q7fP7D/APbt2wcAeHDxg+DzaRc20jX//Duu1+tRU13T5X/Xn332WVRVVmHK1ClYu3Ztp+/v3bsXfx38C7a2tnj/g/f77MXeDRfz06dPd+hqFhoSet1zuFwunJycmGJub3dzfcYLCwuZ2ebx8QmoqDA9YW3w4MGIiIyASCiCLFqGkSNH3tT7EkKAmuorW/EOdBvYpXO8vb0RFxeHCxcuwMbWBsuWLcOQy1f1Z86cwfr161FbW4sRI0bgnXff6ZXcxDq5urgyx1XVVV0u5ro4HU6ePImC06c7FXO9Xo83Xn8D586dw7Rp0/psIQduopgnJiQyxxwuF6Fh1y/mqampqK6uZl53t5dzefklyOVXJqxdbdbigAEDEBISAqFIAJksGpMnT+7W+xBCrq+h3f4Czs7OXTqHy+Xi3rn3YssXW9DW2oZff/kVj616DHq9HitXrERtbS3s7Ozw5f++xMCBXfuAQAhg/Hf/H1e7K2uKt7c3Tp48iUvtHhv9488//2TqzOPrH7/5kL3ohot5csqVyW+jfHyu+xevrKwMTz31FPN68ODBCAkJueY5DQ0NUKvVUClViI2NxYmTJ012WbOzs0NAYAD4fD6kEinCwkOpyxohvaypuYk5dnDo+l22xYsXY+vWL2HQ67Fnzx48tuoxbHp7E9LT0wEAL7zwAoKDr/3YjpB/s2/3M9jU1HSNkR2NuLys0tT+GVu2GOd4TZgwAbfeeutNJuxdN1zx0tPSmWN/f3+Tf3glJSU4fvw4MjMz8dX/vkJNzZXbcm+9+eZVt0vUxemwbPkyVJSb3pyEw+Vi/LhxTJc1oVBIWy8SYmbtt+21tbXr8nmjR49GWGgoEhISkJWVhR07duDzzz8HAETPiMbKR1f2eFZi/Wy4NszxP5v/dMU/j10bGhpQX18HZ2fjFX5KSgrSUtMAAGvWrum5oL3khop5W1srcnNzmdcHDx7EmNFd64Xr4TEIGzduwO133nHVMY8//rjJQu7j44N1j6/DbbfdikGDBnc/OCGkx7Rf2tndvguLFi1CQkICAODpp54GYLzd+emnn/ZcQNKvtP8Z7E7/k5E+V+ZQlZaWwc/PDwDw+WfGD5ijRo3Cvffe20Mpe88Nzd3PyjqGxsbGG3rDFSsfwdx5c685Ztmyh01+/ezZs3jpxZfw8NJlePfdd5GUlAS9idvuhJDedzONk+66+64Oj+ZsLz8nd3OjlSXEvHx9RzHH/6xRLy4+h78P/Q0AWLVqlUU0CbuhK/PExCuT32zt7BAcFGRyXGNTE8rKynC+XUeeTW9vwvDhw7FgwYKr/vorVq7E3ffcY+zOpoqBTqdDSUkJAOOzkISEBCQkJODDDz6Eq6srQsNCIRKKIJVJMWHChBv5LRFCuonDvfIPXHduawLG3QT9xvoxtzEXLlyA6dOn92Q80s+06a/8DNrY2FxjZEejRvkyx/90j9vyxVa0tbbB09MT991/X8+F7EU3VMxTU640i/GfPBm/7/v9muPj4+Oxdu06FF1ul/rsM89i1qxZcHd3v+o5w4YNw4IFC5iif+pUHuRyBdQxaiQmJqKqqgqAsUGAQq6AQq7Axo0bMczTE5ERERCKhJDJZNRmkpBe4mB/ZZlOc3Nzt8794YcfmEIOABnpGT0Vi/RTLe1+Bu3tuz4h09PTE/b29mhubsb5svOor6/Dzzt3AgBWrFgBO7uuzwdh0w0V84yMK3/xpgVNu+74iIgI/PTTDggFIgDGv/hajRZzbp/T5fccO3Ycxo4dh0ceeQR6vR7p6elMd7fU1FTmtv/5sjLs27cP+/btA4fDwegxoxHFi4JYJIJIIqblLoT0EEenK1v7tl+mdj0nTpzAq69u6PC1jIwM5ObmdtjKkpDuqG/3M9jdCdHDhg1DUVERzp8/jx+2bUdtTQ08PAZh6cNLezpmr+n2M/P6+joUFBQwr7vSLAYwFmNPT0/mdWJS4jVGXxuXy0VwcDCe/L8nsfu33Tieexw//fwTVj66ElOnToWNrfEWi8FgQEF+AXbs2IEVK1diypQpmDVzFjZu3AiVStXtqwlCyBUuA1yY4/YrVa6lqakJy5ctR2NDA1xdXfH0008z39v2/bYez0j6j7raOubYxcXlGiM7++cO7vnz5/H1N98AAJYufQiOjo7XOq1P6faVeVJScodJZ2HhYV0+t67uyh/2oEGDuvvWV2Vvbw+xWAyxWAzAuJtTjFIFVUwMYmNjcfr0aRgMBrS1tiEzMxOZmZnYumUrHB0dERwcbFyfLpMiKCjIIiY6ENIXtO+wVdWuteu1vPD8C8jLywMAvPHmG5gzZw4+++wz1NfXY+/e37Fh4waLua1J+paq6irm2N3NvVvnent7AwD2/r4Xba1tcHFxwYqVK3oyXq/rfjFPTGKO3d3dMXr06C6dp1KpUFtby7yODI/o7lt32cCBA3H7nXcwy99KSkqYtq86nQ7nz58HADQ2NiIuLg5xcXF477334ObmhrCwMAhFQkRHRzNLFAghnbX/QH7x0qXrjt+7dy9++uknAMDsObMxd65xVcvMmTOxd+9eVFSU48CBA7jrrrt6JzCxauXlxnbezs7OsLPv3gfCf9aa/9M7YdEDiyzukWy3b7OnprWb/DZlSpfOKSwsxJrVVxbdOzg4INiMM1e9vLywaNEibNm6BWnpaVCqlHj11VchlUrh4tqun29VFY4cOYJXX3kVAr4AIdNDsHrVauzcuZP5AEAIMWr/2Oz8hWv//Thz5gyeeca4qcowT0+8//77zPfazxbesX1HD6ck/UX5JWMx9/Do2qY/7bXfr8PRyQlrLaBJzL91+8o8KzOLOZ5+lZaLbW2tOHeuGIWFhdi1axf27NmL1subqwDAxo0bu/3JqSdNmDABEyZMwMpHV0Kv1yMlJQUKhQIatQbp6enMs/SSkhLs2bMHe/bsAYfLxVg/P/CieBCLxRCJRN1+LkOINRnuORwcLhcGvR5lpWXXHLv+8fWorakBh8vF5s0fdFhPLhQK4eXthZLiEsTFxaG6utrirooI+8rOG38Gh9zAdry+o66sNZ83b65FNiXjGAz6LrfKKSsrQ3DQlQJuY2tjcheZpsamq647fXDxg9i0adMNRDWPpqYmaDVaKJVKaGO1yD2ea7Ixja2tLaZMmcI8bw8PC2f1AwohbJg6ZSrKy8shEonw886f2Y5D+rFx48ahvq4et956K7759ptunfv9d9/j+eefh729PXTxOgwfPryXUvaebl2ZJ8YndHjd1tqG+tau7U4zatQorF23Fvfd17cX4Ds4OEAWLYMsWgYAqKyshFKphEqpQlxcHM6cOQMAaG1tRXp6OtLT0/H555/DyckJwdOnQyDgQyaTISAggCbTEavn7e2N8vLyq+5gSIg5lJdfQn2dsRa1b8/aFW1trfjss88AAPMXzLfIQg50s5jn5B7v2i9qawtPT0+MHDkSPqN8IOALMHfeXHC5N9Q9llXu7u64++67cffddwMAioqKIJfLERMTg3hdPC5dnvjT0NCAWK0WsVot3tn0Djw8BiE8PAwisQgymQy+vr7XeBdCLNOoUaOQlZWFc+fOwWAw0AdYwoq8E3nM8ZgxXdsn5B+ffPIpioqK4OTk1GGppKXp1m120llOTg7k8qNQx2iQnJzcYfldeyNGjEAkLxJisRgymdQin8kQ8m9vvfkWPvnkEwBAnC6OPrQSVmz7fhuee+45AMCvu34Fn8+/5viamhrcOutWDB8+HPHx8dDr9Xjqqafw5P89aY64vYI2/b5JkydPxuTJk7F69Rq0tbUiOTEZRxVyaLVaZGZkouXyxL9z585h967d2L1rN23hSqzGxElXOrYdO3aMijlhRc7xHOZ4ShdWWR3LOoaCggKmAdqUKVOw/on1vRXPLKiY9yAbG1uER0YgPNK4hr6hoQFqtRoqpQqxsbE4cfIkDHo9DHo9Tpw4gRMnTuDbb7+FrZ0dAgKmQiAQQCqRIiw8FDY29J+G9H0BAQHMcWZmJmbPns1iGtJf5WQbi/nQoUOvuefHP1paW+Dn5wcHRwcEBwXj5VdetsjHwO3RbXYzKi+/BLlcgZiYGOjidCgqKjI5bsCAAZg+fTpEYiGkUhn8/f3NnJSQrjEYDBg/bjzq6+shi5Zh+/btbEci/dDkSZNRVVUFgUCAX379he04rKBizqLCwkKmM118fAIqKspNjhs8eDAiIiMgEoogi5Z1aHBACNvmzJmD1JRUDPP0RFq7plKEmEN+fj4EfAEAYPXq1XjxpRdZTsQOupfLIl9fXyxduhRLly6FwWBAZmYm07wmNTUV9fXGpRaXLl3Cgf0HcGD/AQCAj48PoqKiIBKLIJVKu3RbiZDeEhwUjNSUVJwvK0Nx8Tl4e49gOxLpR+Li4pjj0LCubfxljejKvI9qaWlBQkIClAoltFotsrKy0Nra2mkcl8vFxEkTwY/iQywWgy/gW9ROP8Ty/bnvD6xYuRIAsHnzZsxfMJ/lRKQ/Wbt2LXbv2g0ul4tj2cc6dBfsT6iYW4ja2lrjZDqVCrHaWJzKz4fBRGc6e3t7TJs2DXwBH1KpBCEhoRY/sYP0bRUVFZg6NQAGvR5z583Fxx9/zHYk0o9EhEfg7NmzGD9+PFQxKrbjsIaKuYW6cOECFJcn08Xp4lBSXGJynIurK8JCQyEUCiGVSTFx4kST4wi5GWKRGCdPnsTIkSORkJhw/RMI6QFFRUUIDwsH0Pdbhfc2KuZWIj8/n5lMl5iYiMrKSpPjhg0bhoiICGabVy8vL/MGJVbpxRdexLfffgsA0Gg1tH0wMYtvv/0WL75gnPD2zbff4NZbb2U5EXuomFshg8GA9PR0KOQKaLQapKamobGhodM4DoeD0aNHg8fjQSQWQSwW99vnTeTmKOUK3L9oEQDgpZdewqrVq1hORPqDRYsWQSFXwN7eHjnHc/p18y0q5v1Ac3MzdDqdcSc4jRbZOdloa+28q52NjQ0mT56MKH4UJBIxoqL4sLe3ZyExsTQtzS3w9/dHXV0dIiIisGfvHrYjESvX1NQE/8n+aGhoQBQ/Crt27WI7EquomPdD1dXVUMeooVQpERsbi9MFp2EwdP4xcHR0RFBQELPNa1BQEE2mI1f10JKHcOjQIdja2iIjM4OWTJJetf/P/XjkkUcAABv/u5E57q+omBOUlpZCoZBDpYyBLj4e58vKTI4bOHAgwsLDIBQKER0tw9ix48yclPRlv/7yKx5//HEAwNtvv43FSxaznIhYsxUrVuDPP/4El8tFUnKSxW5d2lOomJNOTp48CYVcDlVMDJISk1BTU2Ny3PDhwxEZGck0r/H09DRzUtKX1NbWIjAgEI2NjeDxeNj92262IxEr1dTUhKlTpqKurg7B04Oxf/9+tiOxjoo5uSa9Xo/U1FTjZDqNBunp6Whqauo0jsPhwM/PD7woHiQSCYRCIVxdXVlITNi0ZPESHD58GDY2NkhKTqIPeKRX7Nq1C+vWrgMAbNi4AStWrGA5EfuomJNuaWpqQpw2FnKlArGxscg9nou2ts6T6WxtbeHv7888b48Ij4CdvR0LiYk5tX+O+cyzz2D9+vXsBiJWaf68+dBoNLC1s0N6eho8PDzYjsQ6KubkplRVVkGpUkKlVCEuLg5nzpwxOZnOyckJwdODIRAIIJPKEBAYAA6Hw0Ji0ptaWloQNC0YFRXlGOM3Blqtlu1IxMqUlJQgPDwcba1tkMqk2LFjB9uR+gQq5qRHFRefw5EjR6FWqxGvi8fFixdNjvPw8EBYWBhEYhFkMhlGjx5t3qCk17zw/Av47rvvAAC7d+8GL4rHbiBiVd5++218/JGxZfBXX3+F2bNns5yob6BiTnrV8ePHIT8qh1qtRnJyMmpra02O8/b2Bo/Hg1gshkQqwZAhQ8wblPSYEydOQCqRwmAw4PY7bseXX37JdiRiJfR6PUJDQlFaWophnp5ISUmm5bKXUTEnZtPW1orkxGTIlQpoNVpkZGSgpaWl0zgOl4txY8eCz+dDLBFDKBTA2XkAC4nJjbrj9juQnJwMe3t7JCUn0Ycz0iMO7D+A5cuXAzDulvb8C8+znKjvoGJOWNPQ0ACNRgOVUoXY2FicOHECehM7wdna2WHq1CkQCoSQSCQIDQuFnR1NpuvL2s82Xvf4Ojz33HMsJyLW4O677kZCQgJsbW0RnxBPe0u0Q8Wc9BkVFRWQy+XGneDidCg6e9bkOOcBzgiZHgKBUACZTAZ/f3+aTNfHtLS0IDwsHGVlZfAY5IGUlBQ4ODiwHYtYsLS0NMyZPQcGgwGzZ8/GV19/xXakPoWKOemzzpw5wzxv18XrUFFeYXLcoEGDEBkZCaFQCFm0DD4+PmZOSkz56KOPsOlt45aUr776KlY+upLlRMSSPfjggzh65Cg4HA72H9iPoKAgtiP1KVTMiUUwGAw4diwLcrkCGrUGKSkpqK+vNzl2pI8PoqJ4EImMneloDSo7amtrERYahqqqKgwbNgzxCfF0dU5uSFZWJmbNug0GvZ42VbkKKubEIrW0tCAxMRFKhRIarQZZWcfQamIyHZfLxcSJExEVFQWxRAyBQABHR0cWEvdP7777Lj784EMAwHPPP4d169axnIhYovsW3geVSgUA2LtnD8IjI1hO1PdQMSdWob6+DjExaqhUKsRqY5F36hQMJibT2dvbIzAwEHwB3ziZLjQENja2LCTuH2praxEREYGK8gq4ublBp9PBzd2N7VjEgmg0GiyYvwAGgwFCoRA7f9nJdqQ+iYo5sUoXLlyAUqFETEwMYuNiUVJcYnKci4sLQkNDIRQKIZVJMWnSJDMntX5fbt2KDRs2AgCWPLQEb731FsuJiKXQ6/W4ZcYtyMnJgY2NDf76+y9MmTKF7Vh9EhVz0i8UFBRALpdDHaNGQkICKisrTY4bOnQoIiIjIBQKMSN6Bry8aenLzWppaYFELEFBQQFsbW1x6PAh+tBEuuSbb77BSy++BAC4d+69+OSTT1hO1HdRMSf9jsFgQEZGBhRyBdQaNVJT09DY0NBpHIfDga+vL3g8HkRiESQSCdzc6BbxjThy5AgWP2jc3zwkJAT7/thHywnJNV28eBFCgRBVVVVwcXWFVqvB0KFD2Y7VZ1ExJ/1eS3MLdPG6y5PptMjOPoa21s47wdnY2GDSpEmI4kdBKpaAx4+i2dndsPjBxThy5AgA4K233sKSh5awnIj0ZStWrMCff/wJANiw4VWsWElLG6+Fijkh/1JTUwN1jBpKlRKx2lgUFBSY3AnOwcEBQUFB4PP5kEXLEBQURH2ir6GkuAQikQh1dXVwcXWFSqmkxxjEpIMHD2L5suUwGAyYOnUq/vr7L/q7dR1UzAm5jrKyMigUCqiUKuh0OpSVlZkcN3DgQISGhUIkFCJaFo2x48eZOWnf9/XXX+Pll14GAPD5fPy661eWE5G+prKyEiKhCBcvXoStnR0OHjxAk966gIo5Id106mQejiqMbWeTEpNQXV1tcpynpyciIyMhEgshk0XD09PTzEn7HoPBgHv/cy90Oh0AYMPGDVixYgXLqUhf8tCSh3Do0CEAwPon1uOZZ55hOZFloGJOyE3Q6/VIS0uD/KgcWq0WaWlpaGpq6jSOw+FgzJgx4EXxIJVIIRQJ4erqykJi9hUVFUEmi0ZtTQ0cHR3x5/4/4e/vz3Ys0gd8/933eP55405oAQEBOHBwP/WB6CIq5oT0oKamJsTFxUKhMD5vP378ONraTEyms7WBv/8U8PlRkEqliIyIhJ19/9kJbvfu3Vi7Zi0AYIzfGBw+fIi2ue3nsrOzcfvtd6CxoQHOA5xx6NAh+Pn5sR3LYlAxJ6QXVVVVQaVSQaVUIS4uDoWFhSYn0zk6OSE4OAhCgbF5TWBgoNUv3Vq7di1279oNALj9jtvx5ZdfspyIsKWmpgazZs7C6dOnAQCbN2/G/AXz2Q1lYaiYE2JGJcUlOHL0CNRqNeJ18bhw4YLJce7u7ggLC4NILIJMJsOYMWPMnLT3NTY2YuYtM5GXlwcAeOWVV/DoY4+ynIqYm8FgwJLFS5hli/Pmz8NHH33EcirLQ8WcEBbl5uYy27wmJSWhtrbW5Dgvby9E8aIgEokgkUqspnnGqVN5uO3W2aitrYWtrS2279gOkUjEdixiRps2bcJHm43Fe7L/ZBw4cID6N9wAKuaE9BFtba1ISkqGUqmEVqNFRkYGmpubO43jcLkY6+cHvoAPsVgMkUho0c+bDx48iEeWPwK9Xg83NzfsP7CfnpX2E3v37sXq1Wtg0Ovh4TEIf/19ED4+PmzHskhUzAnpoxobG6HRaKBSqhAbG4vc3FzoTewEZ2tnh6lTpkAgEEAilSAsLAx2dpY1me79997H+++/DwDw9fXFwb8Owt3dnd1QpFclJydj3rz5aGxogK2dHX766Ufw+Xy2Y1ksKuaEWIiKigooFArExMQgLjYOZ8+eNTnO2dkZ06dPh0AogEwmxZQpUy1iMt2jKx/Fvn37AADB04Px22+/0e1WK3X69GnMmTMHFeUV4HA4eOvtt7B48WK2Y1k0KuaEWKizZ88yz9t1Oh3Ky8tNjvMY5IHIiEgIhULIomUYNWqUmZN2TUtzC/7zn/8gOTkZADBjxgx89/131MbTyly4cAG3z7md+TC68tGVePXVV1lOZfmomBNiJY4dOwa5XA6NWoPklGTU19WbHDfSxwc8XiREIuNMeQ8PDzMnvbqqyirMmTMH+fn5AGhms7Wprq7GPXffg5ycHADGJYlbt261iDtHfR0Vc0KsUEtLC5ISk6BUKqHRapCZmYXWlpZO47hcLiZMmICoqCiIJWIIBAI4OTmxkPiK4uJzmDP7dqYH/rJly/Da66+xmoncvIaGBsybNw8pySkAgCh+FH768ad+1SypN1ExJ6QfqK+vg1p9ZTLdybw8GExMprOzs0NgYCD4Aj5kEilCwkJYaad54sQJ3HP3PaioqAAArFi5Ahs2bDB7DtIzGhoasHDBQiQmJgIAAgMD8due3Ra9CqOvoWJOSD908eJFKBVKqGJUiIuNQ3FxsclxLi4uCAkJgVBo7Ew3efJks2VMT0/HvHnzUVtTAwBY8tASvPnmm3RL1sJUV1dj4cKFSEtNAwBMnDgRe/fuhZu7G7vBrAwVc0IITp8+DblcDnWMGgkJCcwV8b8NGTIEEZEREAqFmDEjGt7eI3o1V2pqKu5beB+zM91dd92Fjz/52OKW3vVXZWVlWLhgIXJzcwEAkyZNwu7fdvepeRrWgoo5IaQDg8GAzIxMyBVyaDQapKakoqGhweRYX19f8Hg8iMQiSCXSXrnaysjIwP333c/M1udF8fDtt99i4MCBPf5epOfk5ubi/vvvR0lxCQDjrfWdO3fSFXkvoWJOCLmmluYWxCfEQ6lQQqPRIDs7G62trZ3G2djYYOKkiYiKioJELAFfwO+xdeL5+flYuGAhioqKAAB+fn7YvmM7Ro8e3SO/PulZR44cwapVq5lHJAKBAN9v+571yZXWjIo5IaRbampqoFaroVQqERcbh/z8fJM7wTk4OGDatGnGyXQyGYKDg29qzfiFCxfwwKIHkJmZCQBwc3PDF59/DolMesO/Jul5H330Ed579z1m69/5C+bj/fffo33JexkVc0LITTl//jwUCgVUShV0Oh1KS0tNjnN1dUVoWChEQhFk0TKMHz++2+/V2NiINavX4MCBAwCMdwPWr1+PJ//vSZoYx7KamhqsW7sOf//9NwDjf5tnnn0Ga9euZTlZ/0DFnBDSo06dyoNcbmw7m5SYhKqqKpPjhnl6IjIiAmKJCFKpDMOHD+/ye3zw/gf48MMPmas/gUCALVu/wKBBg3vk90C6JyM9AytWrMCZM2cAAAMHDsSnn32KGTNmsJys/6BiTgjpNXq9Hunp6ZAflUOr1SItLQ2NjY2dxnE4HIweMxpRvChIJBIIRcLrTnCTH5Vj7dq1zMz7oUOH4qOPN0Miodvu5mIwGPDF51/gnXfeYXb4mzx5Mr7+5muaz2BmVMwJIWbT3NyMuLg4KBQKxGpjkZOTw1xdt2djawP/yf7gC/iQSCSIjIyEvb19p3ElxSVY/shypKakAjBuD/vQkiV4dcOrJseTnlNSUoI1a9YgLjYOgPED2X333Yc333qT/uxZQMWcEMKaqqoqqFQqxKhiEBcXh9OnT5ucTOfo5ITgoCAIBAJIZVJMmzaNeUbe1taKdza9i88//5z5YDDGbww2b/4QYWHhZv399Bc7duzAfzf+FzWXZ6u7ublh0zubcOedd7KcrP+iYk4I6TNKSkpw9OhRqGPUiI+Px/nz502Oc3d3R2hoKERi42Yxfn5+SNDFY83atczyNRsbGyxcuBAvvfwS3NxobXNPOHUyD08/8wx0Oh3zNR6Ph08//RRe3l4sJiNUzAkhfVZubi4UcgXUajUSk5KYdcv/5uXlBR6Ph4iICMTHx2PP3r1M73mPQR546qmnsGTJEtpO9QZVV1fj3XfexbZt29ByecMeZ2dnPPvcs1i+fDmtJOgDqJgTQiyCXq9HcnISFAoltBot0tPTmUlX7XG4XIzw9kZNTU2HmfTjxo3D8y88j9tuu82csS1aS3MLvvrqK3z66acdWvxKJBJsemcTfHx8WExH2qNiTgixSI2NjdBqtFCpVNDGapF7PBd6EzvB/VtgYCCee/ZZajZzDS0tLdi+fTs+/eRTlJSUMF/38fHBho0b6ANRH0TFnBBiFSorK6FQKJjJdP+seb4aLy8vPP/C85g7d66ZEvZ9TU1N+P6777B165cdiriHhwfWrFmD5cuX0/7jfRQVc0KIVSoqKoL8qBwx6hjE6+Jx6dIlk+PGjRuHR1Y8goULFvbbQlVRUYGtW7fihx9+QEX5ldvpLi4uWPrwUqxZswaurq4sJiTXQ8WcENIvZGdnQ6GQ49Dfh5GalobWyxO5/jFkyBDcd/99WL58OYYOHcpSSvPKzs7Gli1b8Ocff3Zo5jNw4EAseWgJVj22inY5sxBUzAkh/U5bWyu0mljsP7Afu3ftRn19PfM9Wzs7CPh8zJ03F3PmzOmxnd/6iosXL2LXr7uwZ88eZGVldVjX7+npiYeXPYylS5fCxcWFxZSku6iYE0L6tarKKnz99dfYtm1bp3XtzgOcEcWLwqxbZ2H27Nnw8PBgKeXNKSgowB9//IHDhw4jLT0Nba0du+5NnjwZK1auwH/+8x/Y2fXPRw2Wjoo5IYTAOIP74MGD+HHHj9DGajsVPBsbG0yePBl8AR9SqRS8SF6ffcZeVVUFpVIJlVKF2NhYk5MBBwwYgNtm34YHH3yAOuVZASrmhBDyLxcuXMC+ffuw/8/9SEpKQmtra6cxjo6OmDp1KsLDw8Hj8RAWHnbdzWF6S0lJCeLi4hAXF4ekxCTk5eWZ7Hk/YMAAiCVi3HHHHZg1axYcHR1ZSEt6AxVzQohVOXUqD99/vw1JiUkoLS3FhYsXwOVw4ePjA4FQAJlMhuhoGWxsbLv061VVVeHIkSOQH5VDo9HgwoULJsdxuFwMGTwYPqN8MNp3NMaMGYOx48Zi3LixGDdu/E0XzsrKSpw8eQJ5eXnIP1WAgoICFBYW4uzZs6iurjadicOBn58fRCIRbpkxA3yBoM/eTSA3h4o5IcQqlJWVYf3j6xETE2Nys5b2goKC8PXXX99QP/Hjx48jRqWCVhuLpOSkDku5robD4cDBwQFOTs5wcnKEs7MzBgwYAOcBzhjgPAADBgxAm74NdXV1qK+rR319vfG4vh4NDQ2or69n2qhe7318fHwQFh4GgUAAsVjcrX3iieWiYk4IsXhKpQKrV63p0HL0ejw8PPDTTz8hcFrgTb33iRMnkJiYiOxj2TieexwnT5zExYsXb+rX7Aoul4sRI0Zg/ITx8J/sjylTpyAyMhKenp69/t6k76FiTgixaMnJyZg/bz4aGhqYr40bNw4rH10JPp8PH5+RKCkpRVpKKt7/4APk5uYy4/yn+OPw4cM9vlFIdXU1ThecRsFp463w4uJi1NbUora2FrV1daivq0NdXR0aGhpQV1+HhoZGcLkcODs5X7lqdzYeu7i4YIDLALi7uWOkz0j4+vpizJgxGD16NO0bThhUzAkhFquqqgpRPD4qKsoBGG8zr123Fs8995zJ8QaDAU888QR+2fkL87U333wTDy19yBxxCek1tB8gIcRiffHFF0whB4AXX3zxqoUcMBb7TZs2YYzfGOZru3fv7tWMhJgDFXNCiEVqaGjA9999z7yWyqRYtXrVdc9zcHDAPXffw7zOycnp0m5rhPRlVMwJIRbpf//7X4f9yl988cUunxvFj2KO6+vrUXAqv0ezEWJu9MycEGJxWppbEBISwswanzZtGg7+dbDL5xsMBtTU1DCv2Wr2QkhP6VrXBEII6UOyjmV1WP61eMmD3Tqfw+FQASdWhW6zE0Iszqm8U8yxg4MD7r13LotpCGEfFXNCiMU5lX+lmHt5edF6a9LvUTEnhFic0wWnmWPvEd7sBSGkj6BiTgixOIVnCpnjkSNHspiEkL6BJsARQixObU0tc+zg4NCtcwsLC5GUlMS8njNnDm0FSiweFXNCiMUZPnw48vLyAADnzp3r1rmvvPwKDh8+DADwGOSBO++8s8fzEWJudJudEGJxfH19meOCgoIun1dcfA5yhZx5PW/ePNjZ0f7exPJRMSeEWJwxY670Vi/IL4Barb7uOQaDAesffwJtrW0AjFuIPvzww72WkRBzomJOCLE49869t8Oz8nffeRdtba3XPOf1116HRqNhXt82+zaMGjWq1zISYk5UzAkhFsfT0xNz515pFJOUlIR7/zMXlZWVncaWFJdg0f2L8MUXXzBf8/Pzw0cfbTZDUkLMg3qzE0IsUklxCWbOnIlLly4xX3N1dUVAYCACAqaisbEROdk5yMzMRENDAzPGxdUVf/11EH5+fmzEJqRXUDEnhFiswsJCLJi/AGfOnOnS+ICAALz/wXuYOjWgl5MRYl5UzAkhFq28/BLeeuttHNh/EBUV5SbHeHh44P+e+j8sXboUHA7HzAkJ6X1UzAkhVqGtrRVHj8qRkZ6BiooKDHQbiKlTpiIgMIAmuhGrR8WcEEIIsXA0m50QQgixcFTMCSGEEAtHxZwQQgixcFTMCSGEEAtHxZwQQgixcFTMCSGEEAtHxZwQQgixcFTMCSGEEAtHxZwQQgixcFTMCSGEEAtHxZwQQgixcFTMCSGEEAv3/0egjNazUfu1AAAAAElFTkSuQmCC",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/109.jpg"
}
] |
<image>The degree measure of minor arc \widehat A C and major arc \widehat A D C are x and y respectively. If m \angle A B C = 70, find y.
|
C
| 64,557 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/110.jpg"
}
] |
<image>Find A C if A C = x - 3, B E = 20, A B = 16, and C D = x + 5.
|
A
| 64,558 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/111.jpg"
}
] |
<image>Find m \angle H.
|
D
| 64,559 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/112.jpg"
}
] |
<image>Find the perimeter of the triangle at the right. Assume that segments that appear to be tangent are tangent.
|
C
| 64,560 | null |
C
|
[
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ZfnK0zCFtJYZRENqZvEOBtV8U62yRyXs1RWf/mTuHobvRDsFkPx62LRplsKfH9+bh7WdH6Pyddx6jMHQWFIR2tmZ3kWYItVwciMzpcRAF99HZf8aEIc0lOTf9EDyQmWR043ugwEfn7/zckSrkSep6PJ7YDwWhHe08VqZZKMiIEmDtghGa/2YoDGli3XnlSeosCkGGKLgPPnpWrPk5bbuEhfL/xFoUhHaSJ6nDc0eqAKi/OGvmxncbQjFhSKuMzk17y5MlIchIiAnC0fld1yFnbr9Af2MHoyC0A6msFcv2dc37/evFhB6/OExFEwpD56S/73PTnLheXQc+JSkUW9PVRXWz6+RYs7uItTYSy1EQ2pj+4sj+p6JN3tPX0Crjy1mFbjWEcsX/F7Y3v78wNUbzN94oabDyplDEGhSENrbvx0qdxRFzC5IaCsNZ2866ZIAw/Hy69hG2uVgPVyprZX3zO99bPUXCzAvPPlju0n9fV0ZBaEOl0iadeUHtxRFzMGHIDKHyWxQuHYaRA11zHyGz75PB5hVAouA++NuTXdeVr/2imKZBHICC0EbkHQqs2H1J8/NHz4p7dSUBU/jTXcLQ1ehvft+aHsr61T9TkkKxLkX9mlkVzdj3YyWrr09MoyC0kX0/ViK7Tg5AXU0mISbIqtczFIbny+qtbifpmaEQ7FZ1miXLZsbp7C8slTbZ5H2IYRSENqA9JJ4h5GPOw5GsvK5+GCZ+cJ425NqIvEOBzO0X7BKCgLrnr72/cGN2qc3ei3RHQWgD2h/iN2YNZfXi+szpcTp70NK2SygMWcaU02J69LYOQUZCTJDOEJlWke2HgpBl356t0awSr0sRWj0kNmRKUihyF+lenUBhyA79moIZUQK7hCDjt4/GaIbI649VoaG53W7vzWUUhCySdyjw+pfqC+mT/Xj47aO2qzKdKhZ2C0NXuoi/8maLo5vQjaEQ3JKRaNc2BAp8sHJyBAD19MfuE5V2fX+uoiBk0b4fKzVzSisnRyBQ4GPT99MPw+eOVDl15RpfrSmClvZOB7bEMO2CGPo1Be1pVlokZgj5ANTXnNMOAdujIGRJQ3O7zgLJo8kiu7xvqliI6yvHuUQZL2e+Jem2wyU6BTEcXTj1jVlDNY+3fEULJ7ZGQcgS7SHM8sei7fol6qmMFzGPfjktR4cgoF44WS4OBKC+/I6209gWBSELGprbdSoUO6LcvqEwXLGdijWYYqimoKNDkJExOUrzOOtYhQNb4v4oCFmg3xt0FP0w3ChpoMo1RhzIrexVTUF7iRX5U6/QTigIreQMvUFtouA+yFmVSmW8TMiT1GH2wXIAzhmCDOoV2gcFoZWcpTeoracyXhSGavrltIzVh3Q0/V4hrSDbBgWhFeQdCuw8p97I7Ay9QW2GwnD+5jNO80UqqXHMPkJDNQVN1Yd0NO1e4aGfrzuwJe6LgtAKPxXVafYNLnkkwsGt6U4/DLPr5A6vXMPMX95ps/8+wvNl9azXFLSHWJG/zr5C6tmzj4LQCu9/31VrcMII5/xC8b15+Ph3yU5TxmtipMAh7yuVtWLxLtcLQYb2tMs3+VIHtsQ9URD2Uqm0SXNR/sIxQqfZctETLtc01C+ndXR+nEuFIACMHhKk6U3vPHnDwa1xPxSEvfRtQa3m8cyHwhzYEvPph2HY+lNuX6zBUE3BKUmhDm6V5fjePGSmdd3siWpRsouCsBfkHQrNlpmMKIHTrjgakjk9Dp9N65rPdOfKNQ3N7XYrrGoPjySEaB7nFssc2BL3Q0HYCwVXu87Gc8YOcmBLemfh5Bi3L+Ml71DgT7uK3CYEAfUeUWbha+e5Olo0YREFYS/kXOo6GzvrIokphsp4uUsY6pfTWpcidPkQZDAn3vwWhc4JmViHgtBC8g4FXjujDox1Kc6/SGKMoTC0V7GGE5XNNnldQzUFl810jxAEgKTYrkK/2idkYh0KQgtpn4XThwc7sCXsYMLQXpVr+vmq723MDFnZ1FNhVVc+WekLFPhohseHiqlHyBYKQgtpn4VHD2G/DL8jpIqFdivjFRdqu3sbf3K0zK1DkKE9PKbVY3ZQEFqIOQtnRAnc6kvWU01DV5mQ1y6n5c4hCADxEf00jy9ea3RcQ9wIBaEFSqVNmiHdo6Ncf1isz1AYukKxBv2agmvmxrttCALqvxNzyd2BwlsObo17oCC0gKSy6+ybMtT9ghDoCkNXqVxjqLCqK+3r7K1JceqKNNl1crrTHQsoCC1w6qo6CJP9eG79ZRMF93GJMl55kjpOhiAAJEYFaB5frqaCrdaiILQAc3MfRxUOsKeeaho6S+9Du5wW10IQAIaFd5UOK6+968CWuAcKQjNpFygYNyTAyJHuw1AYTnvnNGvFGnr7Ovo1BTfNieNUCALqbTTMPOFPpbRgYi0KQjMVV93RPBZHciMIga4wXJeivoLG2so1fj5emsdtvRhqGyqs6mqVZNjCzBMyW4ZI71EQmqn0RtfwI4xjvQ++Nw+r5olZKeMVObD3+wilslYKQS2xg/pqHtONnaxDQWim6np17cEZQr5bb80wxlBNQ3tt6GXKaTG4HoKA7kml8qZjbn3gLigIzcQslKREuP9CiTH6YZj4wXmbF2vQryn42bQIzocgoDsyudkod2BLXB83uzYW0l4pteUlYq4ic3ocYgf1xdQ96svw0rZLkLsINgknQ4VVF06O6eHoe2i/XY6LZ04j/+wFFJVewtncy7jjGY7EiQmIEydh/PhUjB8zGP48D9bbam98bx5mCPnIrpNDIqWVY2tQEJrhdnOH5nHUwL5GjuSOKUmhyPXhaebsbBGG8g4FMrdfMKOmoAqKxss4umMr3tl2BNVKvf+srEbhd9Uo/O4w9mz2RGD67/Hu+sVIC/Fmra2OEhvMB+rkKJVRj9AaFIRm0J5/8fWhXxlDXbkGOmG4/yk5ZqVFWv3aTCUZ5r4wPYdgB2TnPse6Vzbgq8o2AJ7oN+YpPPPkOAwfEo4g/gNQNNei7NJPOJi1H4WNSjTkvIvn5zfigz1/wmQXD0OxqC8gadD8nkjv0LfaDC3tXbeedPZ74NqbfhjOPliOrQ3tZhVCrbzZYvD3aaicluHXU0CWuxm/fu4DXFYCnsPmYtXrv8O88eHw0Rv5pkx8HHMX/BL/t/JlvHlUClTuxOr3JyDpr79AgAuPkv34XV9hqayVc/sp2UKLJWZw1M3IXUWqWIgry8wr4+WrteKufYJh9FRTsDsV2kv3YfXvP8JlpScCp76Bfbv/hudSu4egmgd4AYlY+Pd3sXSkHwAlbu/+At9J/2vh/61z0Z6q6c2+TKJGQWgG5mbkzBUWpLtYkb9ZNQ1N9VjW7C4yr6ZguwS7Xn8bx+uV8By+BFvXP4ORAV7dj9Pj0TcRC347DV4AoDyHn4pcu56f9lRNWzsFYW9REFogwJdmEowxVMZrxXbzizVsO1yi2aZkvKZgJ2qPfIJ3zzQBnilY8tdFSAnwNLOVPPQfmYKxAAAZ8q7UwpXjQ7uHXXGTVo57yw2/2UrIvl6BtCUHoL94aNxUrM/diqdF3XsVzJeTmMaEIbPlZaOkAY1ZhSYLpeqX0zJ6vPwi9m79Gp0AfGdn4NnRAbBkms9DEIwwXwBtFjzJSdGcIDvcsEfYjNKz5y0MQQCxYzA8xPjQiivFFqwlCu6DnFWpBivXfHu2RnPczpM38O3ZGmw6WNytnFbPoalC28Xvsa+8E8AwPDM7GYGWLnYoO9HRfXqScJj79Qjv3ULZuZsAAN8n1+DDRSNh1gYJ/iAMNnd0RUxiijXg/sJHVkUzjr31M6o672mOya6TI3tP1zyieeW0WlBy8ifUAYBvMlKGWT5vq7ojw/VOAPCHWBQEd/mz06Je77lfEDZV41JxGwA/DH9oAsaNjrZo2ETYw4Sh4qMC7Ki8qxOC+vp4AJ8+P8L0UE91CyWnrqkfJ4sR09fSQc093K26gksAgHAkRAe6/OeDubqEWdQjlnOzobEKHaWFON4JADGYIA5x+Q+5q+N78zB1RH+Tx7WqgBNFZtx/Q9mEW6Xqno9f9CDLh8VoQMHxE+rpwZAJGB/n+pdMxgbzHd0El+dmPcL/ora8BM0A4BWHIWGufdWAMzNV9kn7/i6f5N0w6zV3nqszayM24wFvnsXDWlVtLvburQbghehnpiDBl06VxO2C8C4qi8vVD+OHItLf+tkftqoxs82SIDKEuf9KTxyxUm7pTd+bi6shU42FyNwsU8lwMutjHOsE4PUYlsyKx4MWt5K4I/cKQuUNFJ9Qrz4Kxg9DOAsD/yBB916lvEOB60YCsq1dYXRPV4tcYbJaCG3Z6YFnEEQj/YGcJiD/PC43zoIo0JwTngKynA+x+pNiAP5Ifu03eMzELgHCHW4VhKraKzgjVQLwQ/SDjbhUUGDiGQKEj4xGfyMlmbS3ccw+WA4cLGensU5ghpBvdH4pPIiPQYE+Pf53YT8+gvv1/N/7C7wRKPDR2SNoDHM7AKM8BmLM1CR45nwHZdt/kPX503jopUT4Ge0VdkB27v+w+pUdqIYnAqe9hrd+FQeKQcJwoyC8h7tlEqijrwWFm1/C3M0mnhK7Cl9+EwPTU/m2Ya8gcrSRg/sBZgRhlNCczcHeiPzFU3gs6AS+rG/CuXf+ig2D/oZlT8QjoNsJTQVFSyVO7dmMv6zPRrUS8By+FFv/dxYGe9HcIOniRkHYgZqrJRZdLOCXFo8IC6YRl48IxLiYrk3VrhJEjtTQ3I5X/33FrGPnf1mBsP6+JmsaeoRMwoo35+HnJbtxW3keu/8wA1/vmo1fz56A+OgQCLzuQV5fjasFOdj/+de43KgE4Ivw6a9j21tzEe/nLjsH1WgaxXruE4Sq2yg9e3/Ymr4BJ3bMMX8S3UzjYgJYqbXHFfIOBf60q0izCLJ6dDBq73To3HVthpCPmQkDsOhoFQB1Oa+t6Y0mVo+9EfLoa9i3YyBWv7IZufVK3Dn3Bd4994XBoz0jp+Gl5Uvx3NRhBnqN7kMsoqLBveU+QSivxsWT9QC8EJM2HCE2+LzfaHCOm5u7Av1yWutShFg1TwwA2HJ/sSksuI9mDnbIoL5Ytq8E+S0KzXyi0TD08EXYxExkfTcNp0/kIf9sAQrOncTJy/VAwDCMTxmOISNGISl5LJJHRaO/j5ttmTVAuzYhsYzb/Obu1VxFwV0ACEHykAGsXjbF7Nxn7mRHjDNUU3DZzK5Q43vzuhVkTRULcUDopynWYFYYwgO8fkOQOnMIUmc+z/b/hkswt7IPMc5NTpNKNFVegfqq1WgMi2B3iEA7983XU2FVc26BaqiM17bDJfRlN0J7G5efD62D95abBGErrhYUoBMARGMwItw2V5ScqGw2fRDHfXK0rFchyDAUhi9nmV/TkMu073NMLOMeQaiSoaxAfRmX10OxELG8KMhMQlt65QPXaO8X7E0IMpgw1C/jRWHYHd3YnR3uEYR3KnC+oAWAHxISo9CP5ZfXnoTWvscx6aJfWHXN3PhehSBDFNwHWzISKQxN0L7vSxgVae01twhC5fVSnO4EgEFIjA5mveKM9g1ytO9xTNT0Q9B0TUHzMGW8DBV4JWraNQitOfFwnRsEYSdqrxShBgA8xRgRxf5ZUfsGOTQU0ZUnqdOEYBLfk7UQZDBhuChQXR4hq6IZ09457bTFMOzt2m31Tobl4kAHt8S1uUEQekE0558oq7yGsvJ38Ggw+1cNaG/1uNlIW2gYeZI6zf2ME5X3sP10BUI62O8xP3D2Gt7cdg6rFerXzm9RYNa2sxSGgGZhqp8vrRhbww2C0D5mCNVbaExVjeEK7RAEgM0zozCoqR13wrajI+8qa+/TkXcVLWmH4feEEGvXT8LW9FAAFIaAbom4uFBaMbYGBaGZmL2EdF1n9xDMXSTGhInR8D/wS3gk89GSdpiVMGRCkJcxCIIts+HBfxCZ0+O6haGp2ozu6nZT11yp9jw2sRwFoZm072DH9V6IfggyRRI8RYEIyMkAL2OQ1WH43/NV3UKQoR+GQzedRZ6krtfv5aq0a16GD6AVY2tQEJpJ+4xbVcfNBROprBWztp3V/KwdggwP/oMQbJltVRgqpQ1oWfwfeCTz0fftJ3VCkJE5PQ77n4rW/Jy2XcK5MGSqjCf78Thf5chaFIRmGhrWtWBSWGG8zL07YkKQ2VT+2bSIHstlWROGSmkDmmZ9DgDwP/BLPBDY89zXrLRI5C4Sa37mWhgy0zQz44Mc3BLXR0FoJr43T7NgcuE6txZM9ENwa3ooFk6OMfqc3oShfgh6ikxvCUkVC7uF4YHcSpPPc3Xa86K0UGI9CkILTIpTfzGzKpo5c4WDvEOBzO0XdELQ3DvNWRKGvQlBhn4Yzj5Yjm2HS4w8w/Vp35xLHBlg5EhiDgpCCyRGdX3gCq7WO7Al9sFUksmuU++dtCQEGeaEoTUhyEgVC3FlWffKNe5K+y6E+iXNiOUoCC0wLJw784SGymlZGoIMY2HIRggyYkX+Bst4uRt5h0IzP2jWDa+ISRSEFggU+Giue915zn0n5XuqKWgN/TBs/1bCaggyDJXxemuvxK2mMq5c75ofTIqmYTEbKAgtNCFW/cHLb1G47X7CNbuLrKop2BPtMGydehR3wrYDYC8EGfph+NqZOreqXJNbLNM8ToqlFWM2UBBa6JGEEM3j78/XOrAltrHtcIlm2MVmCDKYMPRaHgWPZD7rIcgQBffBkVfGumUZL2Y0khEloP2DLKEgtJAouI9mG82BwlsObg279MtpsR2CDA/+gxBseAr9jiy0SQgyAgU+blfT8HxZvWYF/9FRwQ5ujfugIOyFWYkDAADZdXK3uc7VUE1BW9e3M7ZZmi2GahrO33zGZac1tIfFE0cOdGBL3AsFYS9oD4+/LXD94fHOY2U2KazqLPTDMLtO7pKVa+QdChoW2wgFYS9oD493nqtz6aFWnqQOzx1R31zdHUOQwffm4ePfJbt0Ga+Cq13D4jljBzm4Ne6FgrCXljwSAUD9hXLVzdX65bTcNQS1GSrj5SphmJ1/Q/OYVovZRUHYSxNGdG1k3ZFT7cCW9I6hmoLuHoIMQ2Ho7MUapLJWnU3UNCxmFwVhL/G9eZovU1ZFs0stmpwvq++xpiBX6Iehs1euOfTzdc3jp1PDHNgS90RBaIUpo11v0UQqa8XiXdwOQUbm9DiXKOMl71BoFrNmCPl0bbENUBBaIVbkr1mJXJpT4/S3mdQvp3V0fhxnQ5BhqIyXs4XhN/lSzePlj0UbOZL0FgWhlZ5PD9c83n2i0nENMcFQTcEpSaEObpVzMBSGzlKsQd6hwPpjXav6o4fQIoktUBBaKVUs1GylcdZeoaEQ7G0lGXfFhKGzVa75Jl+q+butnBxBN3G3EQpCFmgPV5ytVyjvUGDtF8UUgmZIFQudqoyXfm/w0WSRw9ri7igIWeCsvUL9cloUgqYZKuPlqDCk3qD9UBCyxNl6hYZqCr4w1fh9RoiaoTB88b18u15BRL1B+6IgZIl+r9CR+wp7KqxKPQrzMWHI/E3tXbnmk6Nl1Bu0IwpCFm1YMFzzOOtYhcPa8cnRMgpBFoiC+2DP71PsXsZLKmvV2Tc4Ky3Spu9HKAhZFSvyx3Kxur7eRkmDQ/ajaZfTohC0nqEyXi9nFdp0HnjLV6Wax2/MGmqz9yFdKAhZtnL2MM3jZftK7DqvpF9TcM3ceApBFhgKw2nvnLZJsYY8SZ3mmuLl4kAkxNC+QXugIGRZoMAH+59SL5zktyjwydEyu7yvocKqXCmiYA9MGDJ3jbNF5Rp5hwLL9nWtUL/8RCxrr02MoyC0gUeTRXZdOPn2bA2FoB3wvXlYNU9sszJemw6VaBZI9j8VTX9DO6IgtAG+N09n4WTF7ks2GyLnSeowdY+6F0EhaB+GynhZe7I7X1aP186o55RnCPm0XcbOKAhtJFbkj8+mqYu3ZtfJsekQ+5ty9WsKfvQsd2oKOpp+GA7d1Puahg3N7ToVgTYsGE5zu3ZGQWhDcx6O1AyRXztTx+oqsqHCqjSxbl+Z0+M088FA7yvXrN9/WWdITGW27I+C0Ib0h8jL9pWwMp8klbVyvrCqs5iVFmlVGa8DuZU695GmPYOOQUFoY7Eif51V5LVfFFs1X8hUkmFQCDqeoTJeB3IrTT6vVNqE2QfLAajnd99+doStmkhMoCC0g1lpkZqN1lkVzb3eUqNfTuuzaREUgk5CPwxnHyw3Wqyhobkdz3x8XvPzpjlxdB8SB6IgtJO1C0bobKkxp8egzVBNwYWTqYiCM0kVC3FlmenKNfIOBf60q4hOaE6EgtBO+N48bFs0SvMlmX2w3Oy5JHmHggqruohYkb/JMl6bDpXoXAtOJzTHoyC0I1FwH2ya0xVg5iyeMJVkKARdh6EyXm/tlUDeocC2wyU6+wW3ZCQ6sqnkPg+VSqVydCO45kBupc4keU+boPXLaS0XB2LDIvriuAr96Yxp/X1w5La6WANtfncuFIQOon9t8JFXxupMllNNQffQ0NyOP+0q0vwdGddXjqMQdCI0NHaQzOlxOhfw/2lXkc62mjW7iygE3UCgwAfzx+veLTB3EV0B5GwoCB1o2cw4g0U/tx0u0dlkSyHouvIkdfiff13W/Ez7Pp0TDY0dTH8IPF7ghZPNnQDUQ+acVakUgi7K0GWQFILOiYLQCeiHIQCM8uXhq5dpMt1VUQi6FupqOAGm6Cd0wpDOT65q57EyPHekSvOzZSF4D+03i3Hqp5+Rf6EIRedO4uTleiBgGManjcHopFSkT3kYCSG+8LBN8zmJeoRORN6hwKZDXfvMkv142DQnjnoSLkR7NwBgSQiqoJBdQPY/N+B/P/kZd4wd6jkCs9evx+qn4+FHacgKCkInpP9lOjo/DlOSQo08gzia/vRGsh8PHz1rbmm0Dtw8vQN/WbIR39crAfgifNIvMf+RRAyJDoHAS4Hm2nIU/3wUX+z5EVIlAITjiX/swN9nDqZhHQsoCJ2U9qZrQH1FyQtTY2jhxAlJZa3I3H4B2XVyAJZulu5A7Q+bsDjjQ1xWeqJfyvP488pf4/HEQfDp1ttToqV4D1599g0cr1cCwRn47Ps/I7Uvbf6wFv0GnRRT5077Mq2Xswptcuc00nt5kjqErT+lCcGMKAGOvDLWzBBUob30ANa+moXLSk8ETn0DOz/9M2aPNhSCAOAJv/h5WLP6CXgBgOxH5BW3sPc/w2HUvbAxVWMB9n6Wg5sqAJ5xePy30zDkQfMmdlLFQhwQ+mku08qqaMaFbWdp3tAJyDvUdyjUnsKwuNfeWYK9q9/G8XolPIcvxdb18xHv52niSV4YmJSKschGLmQoq20GIOj1/wdRo6GxLakacGbjIix4/+L9f3gS75x6FzMGWnb+kXcosGZ3kWaTNUBDZUfSHwoDvZnH7UTtoeV45A/Z6MRI/Gbvdrw6NtC8lWBFC27fboECHuD5BaG/H30GrEVDY5tRof3yQbzz4UWtfyvDtRvtFr8S35uHDYsSde6PsTSnBvM3n7H5rUKJrgO5lTpD4RlCPq6vHGf5Yta9Kvzw+Ql0AvCc+Ax+mWJmCAIAzw/9Bw7EwIFCCkGWUBDaiuIavtr8Ic4p/TFmznSMAgDcxrWbd3v9krPSInFlWZKmwGt2nRxDN53FzmNlNrtdKFErlTbhxffydRaw1qUIsef3Kb3a9H6vPBf7TjUBGIhH56ZCRNtgHIqC0CYUkP2wHX8/KgMif4mX/zALCX0BoAHnr8mgtOKVY0X+2PP7FM2tJAHguSNVSH8rj9W75BE1eYcCO4+VYeimszpbYwpfSsCqeeJeTk10oDr/RxQBAIYhZVgQbY52MApCG1A1/owP1+3FbYTjyRXPYPzAAAT5ewJQ4lZlHZpNvoJxfG8eMqfH6fQO81sUSNsuwYrttLLMljxJHdLfytO5SmRdihA5q1KtvHXqXVQW3+9ZBoxAXJi3dQ0lVqMgZF0zina/j12VnfAc+2ssmRwKD89AhMapV/Y6L1TipjVdQi1M75C5kTwAbJQ0IGz9KWw7XIKGZsvnI4l6GDxzw0mkbZdoiqrOEPKt7AVqUTXhxtX7C18jRRhgaqGY2BzNtLJKhc6K/2DTP05B6TkOf3ztKQzx8gAgQMiQYOB4IyCVoq71HoYJ2DkH8b15WDg5Bo8khGDLV6WaleWlOTVYmlOD/U9F49FkEa0um6FU2oSsYxU6q/MA2P8dKptwq/T+/j8vL/DMHher0CnNx5GzN3AP/oid+DCG9aMUZQN9O9ikqsHxzf/ET52e6P/sYswfwezvehABwmAApUBbOarq/guwfOtGUXAfbFiUiAVl9XjjwBXNqubsg+VIPlaFzLRQPDFWRLeMNKCnANyaHooFEyOd53emkiHvw9ewbFcZPMetw5HpFIJsoSBkjRKNOZ9ibXY14DUDf16ShgDNmd4L/QYIoZ4lrEX1LTkwxDZfroSYIBxaMR55kjps/Loc2XVy5Lco1PNcR6qwNT0UMx8Ko/JeUM8B7sip7lZGf7k4EBmToxAr8rfNG3sGQTTSH8hpAk5LUN42AwN9TXULlbhbsBebdpcBiMG8305CJE1ssYaCkC3y8/jszX/hNvyR/Npv8FiIl9Z/9ETAQBH6AriDepTfaIYKATZdKUwVC5EqFuoEItA1ZF4uDsSM5EGcu0KlobkdJy7exM6TN3Q2RAN2CECGxwAMTxsK5JwB7v6AL/NewPjJIUY+D0q0lP4bry/ejEtKT/SftxxL0wfQSjOLKAhZ0Yare7fhg/JOIPpZLJsdCy+9IzwHiCAGkIsmXKy4if8iAvZYK+wpEDdKGrBR0oBkvxJkpoXikYQQt+0lyjsUKLhaj5xLMk2JM21b00MxZXSI7QNQwwcx6Y8hef0Z5Csr8O+Vf8Mw4V/xq5FB3b+QqjZIT+7EX1/+O76vV8IzZSU+Wv0/CKYUZBVdYmc1FRTVB5D5P6/ieKeZT5m0CblZMzHQpu0yrFTahH/nXTcYCDOEfMxKHOAWoSjvUODK9SbkFsuw81ydZvWXkezHc+y8qeoOLn6QiTkb8u7vKw1G4txn8VT6CMSECMDrbEZtuQSnvv43vsitghLqogw73jHnemRiKQpCa6lqcWzlM3hpb4X5zwl4GV/kL8NoB/bHjQ0RAXUoTooLRFp8MIaG+bvEqnNDczvOltbjbHmjwaAH1PsA04cHO8eUgKIWp7e/jT+vz0a1sS1VAQ/h+ddX4DczRiHY/CVmYgEKQqso0Zi3EbN/9SGqPZOxeMsrmBSiPyhmyFGyZxX+sq8avS2+YCtSWSsO/XzdYM+JkRElwITYAIwcHIDwAX2cYiVVKmtFcdUdlN64i+MlDQYDHVC3fc7YQUiKDXKKduvqRNO1QpzMOYEfck/jzA8FkCqDMDQtCcOHJiJlQirSxsVjoA+tjNgSBaE12ovw8cJn8faZNoS/8An2vz5Ba6VYnwI3D/0RaX/4EkAC/nj4/7BkpK8dG2ueUmkTTl2W4UDhrR6DBVAPLSdGCjBuSACE/fgI7ueDsOA+Nuk5SmWtaOtQQFLZiBsN7aiul3fb6qJvuTgQk0YMcNLwI87GObokLkmOigPv4d0zTUDQXCzPGGckBAHAE4LgAfAD0IIaXJE2AU4YhLEif8SK/LFwcgwamttxuboJOZdkOFPVrBOM+S0K5EsaAAOBlBElQIAvD/18vRAX6tftv4sjAwAAbe0KVOgVoWiRKyCRqv/tRGVzjz1UQ+/J9FhdZShPnAd9WnpJVfs9tr5zHJ3wR/LS540MiRke8BkgwmAARbiDKzWNUCIEzjztHSjwQarYRzOfxgRjee1dSKR3ewwq3X157BeCmCHkIyVCgLhQP4gjA2zWEyXcQZ+e3lDdQs77/8CX9UogehGWz4vrtl3GkAf6DUC4J1Ck7MSNqltoRbxL1RbWD0ZAvTp7XdYK2Z121N2Ro6SmBXfa1MvnpoavPWGG3QAgFvWFH5+HqIF94evDs+MWF8IlFIQW093hv2D1fCTyzVzJCxiIwQIAjUBbUSXq7gEsXXLsMHxvnmY4rW+D3s89FZHtL/CmeTziULRYQgjhPBfvjxBCiPUoCAkhnEdBSAjhPApCQgjnURASQjiPgpAQwnkUhIQQzqMgJIRwHgUhIYTzKAgJIZxHQUgI4TwKQkII51EQEkI4j4KQEMJ5FISEEM6jICSEcB4FISGE8ygICSGcR0FICOE8CkJCCOdREBJCOI+CkBDCeRSEhBDOoyAkhHAeBSEhhPMoCAkhnEdBSAjhPApCQgjnURASQjiPgpAQwnkUhIQQzqMgJIRwHgUhIYTzKAgJIZxHQUgI4TwKQkII51EQEkI4j4KQEMJ5FISEEM6jICSEcB4FISGE8ygICSGc9//MGSXx/DzbQAAAAABJRU5ErkJggg==",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/113.jpg"
}
] |
<image>In \odot O, E C and A B are diameters, and \angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A. Find m \widehat C B F.
|
D
| 64,561 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/114.jpg"
}
] |
<image>If T R = 8, L R = 3, and R W = 6, find W S.
|
B
| 64,562 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/115.jpg"
}
] |
<image>P M is a diameter of \odot R. Find m \widehat M N Q.
|
D
| 64,563 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/116.jpg"
}
] |
<image>Find the area of the sector. Round to the nearest tenth.
|
B
| 64,564 | null |
B
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/117.jpg"
}
] |
<image>Find x. Round to the nearest tenth, if necessary.
|
D
| 64,565 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/118.jpg"
}
] |
<image>Find the area of the shaded region. Round to the nearest tenth.
|
D
| 64,566 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/119.jpg"
}
] |
<image>If m \angle 1 = 3 x + 40, m \angle 2 = 2(y - 10), and m \angle 3 = 2 x + 70, find y.
|
D
| 64,567 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/120.jpg"
}
] |
<image>Find the area of the shaded region.
|
C
| 64,568 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/121.jpg"
}
] |
<image>\triangle D F G and \triangle F G H are isosceles, m \angle F D H = 28 and D G \cong F G \cong F H. Find the measure of \angle D F G.
|
D
| 64,569 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/122.jpg"
}
] |
<image>In \odot R, S U = 20, Y W = 20, and m \widehat Y X = 45. Find U V.
|
A
| 64,570 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/123.jpg"
}
] |
<image>Find the perimeter of the parallelogram.
|
B
| 64,571 | null |
B
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/124.jpg"
}
] |
<image>Find x.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/125.jpg"
}
] |
<image>What is the measure of \angle K L M.
|
A
| 64,573 | null |
A
|
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/126.jpg"
}
] |
<image>Find x.
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[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/127.jpg"
}
] |
<image>Find Q S.
|
A
| 64,575 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/128.jpg"
}
] |
<image>If A B C D E \sim P Q R S T, find the perimeter of P Q R S T.
|
A
| 64,576 | null |
A
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/129.jpg"
}
] |
<image>find \cos R.
|
C
| 64,577 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/130.jpg"
}
] |
<image>Find x.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/131.jpg"
}
] |
<image>Find m \angle A B C if m \widehat A B = 102.
|
B
| 64,579 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/132.jpg"
}
] |
<image>Find the perimeter of \triangle P Q R, if \triangle P Q M \sim \triangle P R Q.
|
C
| 64,580 | null |
C
|
[
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AyeHe8VAETJsoDiyeBEA6ySbZifVwgY5NKm3IipTUqXpCIKQVNvQa2c4AW9LUHlVowoWFqWGsk9l2rFb0nTmyEquh14htx0yt61NVCixMDRN5RMIjpBUmm2O52s1cjij9FdiQZVrKKeg04nCBTtTxyEqsZFR9/hcxXvekZxDKCpMWmGya5U0syYhil8zEjq6yESsZVbPVSo/YUeMsQlhhb7fAJOsWmeauYkdX2YiVjKrMh+etCGGFvd0Ck6Rr1JKIrrIR63vfmhfmvdWSkZBWmI+bh1pgS1bONh9e9805cTapy0Ksedom9oSCDVmRXm3JGJKjzZu/3d0lnVrgwZCZ4de/rhVlDLIQ6zsn69hrb8wAW4PPLunUAg9G6a/AmgxTnuRQk0GUqibJi1XX3GVRrUSf8iYGdkl3pxUurja3cqQW2MydM82BYv83dUO8kh8kL9bP/1PPXt99S7iII5EeZNRzpxVmOgCs0wTRhyNBUGAA+4DcoW0VfEeOpMVq6DWyN05udKBHb4FzBj6sMNnNfN5U+Z9g6G4WTTfvKz5xtlHQ3y1psRZdMN8492dGiDwa6cGHFSabYEmlm7mUSIoJZpdxmBUKoZC0WOnygX3cbYVJJ+NtdddcEeuIHcmKlS4fcMOdVpi0wExTLMpgyCN2yJwK30hWrHT5gBvutMLUAnMjLGS4KO04JStWaoG5Qz7MKuqdP0KTWmDuLLzZ9JkXdBoFs8KSFCu1wI5BPsyc7ZJOLbBjpE02PyCFOnhdkmIlowO1wPZR+itctmXUAjsGedrkN5Vtdl7tHiQpVvLGSYjwnqNEXIHsku5MKRy1wI7DZIWFOmJHkmI9Xm4+YZ/eONwgo6GjVljX3MVaYGYuRrEP2UmPPFiOLyQnVrIH6Jw4+bcVFIqgwACnrTA55yLnYpShIQ+QI+up+UJyYiWfUJ7QA1RInLXCntLNXGjIXAHjBvlEcmIln1DedPSlO3DGCuuauzyqm7nQMO7vUJOB93mr5MT6fX0HANN8lS7ZOIYzVpi0wGRlDoUbpPuru8LveqvkxMrsXb05fITII5EnjlphaoFdI2Ks+TOrbuzg9XdJSqxkA9u4CVSszkBa4bOXhk56UAvsOkGBAex66+kL/CaZJCXWmsZO9jpqnErEkcgX0grb65JOLbB7iAsxifVEjZ7X3yMpsTa2Gdhrb2k2xQdk0mOoulVqgd3DrFjT513QaeT1mFJJiVWrM3l+xlZQnIOMkrbqVqkFdh/qUeb7tZ7Hon5JibWy2XTzMLaC4hxk3aotK1xae5W9npVACyFcIWSUucqOnMq5G0mJlXnSa8JocslV7J1mQHYzp1MO1yA/v86ea7z9HsmIlbyhVEq6vuoqQ1lhb+xmLhTlDfxFVsmoopuYmGuiaJkh+rtxufjfOHYyD2fOnEHeqTJchS9GJczEDE0ipqdlYm7WTMSO8rP6dsYKH2oy4GDxFazMimH/jWxm5U3dzPlknSYIO7StuNrNX2SVjFibrwp7Bqt0uY4e3bd4f/uf8T9/r0Sfxb/14WrZtzhe9i2Of7oX24MX4Zn3t2JF4kj4WPlJS5LH4tCRWtYKMxlf0gInxdC9q+6EybvwgWTE2nTV/EeOCfQXcSRi0o+eyo/x+/uexvGWPmB0KpbmLsHtSZMwRukL4Br0daX47h/78fbxKvS1fInnVqkR8dWTmDvad9BPuy1pPHDE1Jfl65LLWJkVQy0wT2jCRgDaVjbvwgeSESuJ1+5h7dHi/ae243gLELTgWezdthzTRg+wuSkzMffOBUh/6Qn89vXT6Gs+ii8LH8TcrMHLL9asMLXA/CBEnkUyCaZOg3gdpaXBNVw+8hZeym8HQlbihW2/GSxUBsUEpOeswEI/ADDgatdPNn8qmRV+71gVdhy9BIBaYD7hqzBCMmJlCiK8lv46/OvD/8M1AIG/XIBbrNhaEp/R4xDFoSJTPdq8Zr3qSC2Ot/YCAHr7+kXphOapqALMD1a+CiMkZ4PXaYLEHoI4dNSj7JwDaX/fROQc+Q9+1e8Dhcp6hNQ1d+Hpv1dZ/bezhj4k7y5B8UNJNMK6ASFq2SUTWb0ehR9+diOY6j/Zh7f+VYYfe67bfr1PAEaqx2HcODXGqKw/czd/UsqerWSLB97X8lrPSnEfVKxSYdhUZD84C74A0HIUL+UswqwpP8eyR57GX975HCfyS1Hb1oN+jj+O7Gs7FAWdRrd3Tqfwg+RssPcSiGm/3Ya/9m/HczsPo64PQF8div/5AYr/+cGN1wxDWNp8zMu6DYvuvB3J44dZXV8FgNom7paaXDajSBcaWaVEQCTmrtmFLwtP4ov/3Y3nN+ZiSWYCRrEv6IYu/3O8s+Ux3JPxG2z5VwNsGdiuHmptPQ0aWSXHTQgYHYHE9Agkpt+BXz3QD2NnEy5VlqP07H/wz3c+wNc13UBfMd75w27MPPIsskIG/zcmRo7i/BvJLV4U6UIjq+TxgUI1DrEpc5F9/5/w1yP/wKsrEkz/1FKE8/XWyzTJbXJDkapS0MZfMoGKVWT6Lh3Drp078Zed+5H/o33r6hMwEVmLswhrbJtdOTfbfc3OZfH0FEmZIDmxtnV701zrOrpqT+HNl1/BrpdP4zKnP70fPxm6bsxVx2GsrSonmKLr2UeSrP5bgr8vTuVokK6h9cHuoFuAHIFkxDpqmOmm47Lc4JlUoaKWQwa3vxF5X/wLnQB85y7EnKihNz3oiYffM8nmWuB7NcFUqG6E72NIAQmJNT7UG08zvAmqyMnQ+AJAGd567g2cuNxr89X9PXXI270ZT35cDfjOwu8eX4BwW2s3NyCbUm9Ylsh2SX/2zBVaDMETfJ28QScrInNT1Hz87r8PYOXrReg7/1fkLioasC2uH0b9ZVSdP40jH3+Gb+u6Ad9pWL57Ox6YFmj35w9sSp05JQS48b2iCy00usoISYqV3Cjt8fiMQdrDf8aWHzfgyU/Ooa+tAAd2FOCA1Rf7YlTab/Gnpx5A9rSxdv/zyEL9GZNMp2+Qmd+T55upWN0En8e5MEhGrORRLt1eZs98VIn45fb9mLn0axz56hsUlOTj5Jk60ykRoxMwO2M6UqZPR3LKDExPDIVKYcf73sBaN3OlvwJb0tR4Mr8JT+Y3Ye3dNBvsDpjjXPjciCLJ/6Xmqz3ed+KejwrhM+/C6pl3YbWbfqStbubUCrsfIVYxJJNgCidsL61VdZ2SqhZ2xw3TrIphoBWmuA6zihERzF81mGTESlqxH1rp4WmuYs0CMzBWGDAloGhW2DXIvqwTgvg7kkgyYgXANlSqa6GR1VVsWWCGzCnmNVe6Rc41ftSbl9uix/F3QL2kxDpxjDDduDydoSwwA2mFyW7zFMchW2YMC+AvDSQpsTKFEXx34/J0hrLADEp/BZu55NolnWIdobofSkqspIXgsxuXp2PPAjPMm2o6+ZBrl3SKdYTqfigpsY4Zab6xtDXUmjlDpa7drgVmIKMuGY0pjrFD2woASIu0X1HmCpISK1m1JERFiCdyuswsOnsb0Mku6dQKOwfZUI3v+nZJiRUwV4B8XkptmTM42s2cib7UCjsHedYV3w3VJCdWsuU7uX5FsY8z3cypFXYNMpPOd9Wd5MRKJpnK6tpFHIn8IPuwkv1Zh4JaYdc4Xm6arzKfIZ9ITqyTw81PJ7r+5xiOWmAGaoWdo1XfwzqZOXH89xSWnFiV/gr6pHcCZywwA7XCzkE6v2kTvVCsALDwZlMpXEGn0SLbRrGNMxaYgVph5yA3QQjRL0iSYk2bbK5bza+gT3ouOGuBGegD0nGYFQtmUwTfSFKsYSHDkXqj2dLh76lY7eGKBWYgH5BklKZYh6y/Zk7h4BtJihUAVk43Pa32VuvpEo4dSPfhqAVmIA8FZ6I0xTZc6q/djWTFmpFoftIXVtIM5VAw7sNZC8xAdkmnVnhouNZfuxPJijUpJpi1wp9+94PIo5Eurfoe9pSCefGunf9DRmVqhW3DZQsiH0hWrIClFaZPeuuQroN0I85ArTA3xLDAgMTFOj+FPuntwbiOVJXCLcsH1AoPjaHXiEdPNgAw1bELZYEBiYs1Lmwk+6TfdapB5NFID9ICMy7EVagVHppvzpnXobNThbPAgMTFCgAP3xYJwLT+l6elC/Yk7rTADNQKD83rX9cCEKdVpuTFOmeqOWIcKqCJJhJ3W2AGaoWtU6lrZ9ezV05XC344uuTFqvRX4NXMUACmHfmVOroTB+DHAjPMSjBH6dLaq2792XLmb3n17PXyuVGC/37JixWwTDR9VUTnUQA/FpghLmwkXTYbQKu+h23yJXRiiUEWYo0LG8meIPHoyQZa0QT+LDADrSCzZP+JGvY6NytalDHIQqwAsHxOBHtNfnDeiKHXyJsFZqAVZGZa9T3sck1udKBofZhkI9akmGA2S+nt0ZU8QT85mp8iclpBZoYMDvdnRth+Ic/IRqwAsG7RJPbam6MruY+Sz+UDaoUto2q2Wilqxz1ZiTVdo/b66GroNQ7qZs4X1ApbBgUyWIiBrMQKAC8sn8JebztQJuJIxIG0wGRzKT7wdiusa+6yKC0Uu4+t7MRKZoa9cd1VKAvM4M1W+JV/VLLXYmWASWQnVgB47M449nr9/vMijkRYhLTADN5qhUuqWti2GOs0QaJlgElkKdawkOFsVdOhJgO+KvSOIn8hLTADaYULL3rH0bCGXiOePVjBfr1haYKIozEjS7ECwG8XxLA30VN/r/IKiya0BWa4O9H0u7ylS/qn/65ha4APLJ4kSrWSNWQrVqW/As//IgaAaUfOG4erRB4Rv4hhgRm8qUu6rrkLq46YdtZkq5VYmBom8ojMyFasADB/RiibbHoyv8mjT5OvqDcn0oSywAxkFCejuyey+ZNS9vrZJZMF31kzFLIWK2CZbHrgfa3H2mHyKJGECGGTHUp/BXs2ridb4YOnatgyzi1pakEO7nYE2Ys1LGQ4Diw2LVYXdBo9du1VjNP0SDzdClfq2rH0s4sATJsj1t4dL/KIBiN7sQLAkowoi7VXT8sOi3WaHoknW2FDr9FiCfDNFRpJ2V8GjxArYEqvM9nhBR+We9QJB2KdpkfiyVZ45+flbPb33TsiJWd/GTxGrEGBAdi5zGxd1uz73mNuKLEtMIMnWuGvChvYLHtudCCW3Rol7oCGwGPECpgK/cliiU37z4k8IteRggVm8DQrXKlrx4IPywGY5qmb7kmUpP1l8CixAsCau+LZ9oU7tK1475i811+lYIEZBlphOdOq78Fv9pSwX+9cFu9S6xEh8DixAsD2FVPZ+euqI7WyPsJUKhaYgeyYJtd1bUOvEX98/xzrWN69I1L0HTVc8EixBgUG4OCaGezXGfu0stydIyULzOAJXdI37T/Hrqeu0wRhZVaMyCPihkeKFTCtv57K0bBf/2ZPiewyxGcvmQvnxbbADHLvkr7ri3J2N01udCA2L58q8oi447FiBUwJJ7JgYsmuQlkJljkRXyoWmIGJ8gWdRllZ4V1flLObyVNVCmxfMVXSCaWBeLRYAVPBBJMhZgQrhyUdspv5nDhhOmtzRY5W+KvCBguhHlwzQ1IPQC54vFgBU4aYFOxje4slL1iyKZSz3cz5Qm5WOE/bZLFEc3DNDMlnfq3hFWIFTIJlShL3VuslL1jGArvazZwv5GKF87RNyNinZb9+c4VGkp8nF7xGrACweflUNiLsrdYjc2ueJOewpAVmmkRJDTlY4feOVVkI9VSORrKlhFzwKrEq/RV4JTeZjbBSTTpJ2QIzSN0K7/qinN1EDpiEKoe11KHwKrECJsG+kJM8KOkkpXVYqVtgBtIKS+nzG5j1rd8wS/ZCBbxQrAwDk06TdxZKotJJDhaYITFyFHt9ukx8K2zoNWL1awWDsr5SfuA5gteKFTAJ9t07ItmvM/ZpRa8lloMFZpBSl3RdcxfuezmfrUzKVis9SqiAl4sVAFZmxVhUOq06Uov1+8TLFMvFAjNIoUt6SVULluwqZB1JbnQgPvxdmiw+P0fwerECpkqnirUz2OL/HdpW3PdyvuA3X6u+RzYWmIGM/qQrEIr3jlUheXcJW0P9amYoXslNllVlEleoWG8QFzYSR56YyWY4DzUZEL7ttKBHxJAn3k+bKK2qJVuIZYVb9T1Y/VqBRcb36H3xWHNXvEcKFaBitSAoMACv5JozxYDpiBihbDHf3cz5QmgrXFLVgjte/I6dn6aqFKhYOwPzZ4Taeae8oWIdgNJfgTV3xeNUjsbCFmduzeO1UqdV38N7N3O+EMoKG3qN2Pqx1sL2rtME4eTGdEn0ouEbKlYbpGvUFra4oNOI5N0l2PqxlpcoS1pgshmUHBDCCpdUtSBza57FCRUHFk/CCzmeOT+1BhXrEAQFBmDPI6nsNjvAdJxJ5tY8t89l5WqBGfiywq36HqzfV2wRTXOjA1G/YRaWZES57ffIASpWDizJiEL9hlkWUXbBh+VY/VqBWyp35GyBGUgrnF/heoGEodeIg6dqELw5j90sDpii6Z5HUj1uWYYLVKwcCQsZjj2PpOLoffHsXHZvtR6TdxZi1xflLrXtkLMFZiCt8OHvXRNrnrYJ972cz56QD5jmpt4YTUl8+vv7+8UehNxo1fdg/4katqyN4dXMUCyfG8V5U7Oh14j65i48f6Ac79d1IlWlQP7mTD6GLAhkTW7LpnSHN3eXVLXg2YMV7FozYJoW7FwW7xG1va5CxeoClbp27D1WbWHTAPuirdS1Y8ehStb6MqxNHI2XfpvC23j5pqSqBcm7SwAAzySHYH6SGpFqlV3LmqdtwqGCHyw+x1SVAhuyIrEwNcxrEkj2oGJ1A3naJuz48qJFRACsi3bgZuiBvJoZijV3Sa8pEhdKqlqQ8UYJugbcUes0QdiwNGHQw8uRz41CxepWbN186zRBWD4nAmNGBiB822m7P6f4oSTZZYTtPYRSVQoceWImAODE2UZsO1bLZncZqEiHhoqVB/K0TXjnZN0gmztN6Yuzhj6778+NDsSeR1L5Gp7badX34I4XvxskvoFkBfvjWEvvoO9TkXKDipVHKnXt+FtevVOtJvpfvJ2HEfHDV4UN7IFkXMlWK7Fy9gQ6J3UA+inxSFzYSGy8dyQeXBiDE2cbLZYiPInCi232X3SDtYmjsXRmKM3uOgFdZxWAoMAAi4bP9pjodxNKqlokffoig665CxeudHN+/YMLJlGhOgmNrAIyb+rYQcs81rh07Tq7BJIbHYibw0cgbsIIRI1TiVqw3qrvQd2VLlQ3duD0hTacqNHbnacOZEygP0+j83yoWAVkzlQ1sr+uHZQtJhnl44OrRBphb7UeGJCoylYrEReixKzY0VAF+CFqnAoA3CLkVn0PftT3orvHiOrGDvzQ2oO6FgOnh4w91mmCaBLJBWiCSWB0zV3Y/EnpoEwxYD7ga5i/L8rq2nHxcge+qWyz+lp7cLXcAFDZbBjyAWKNVJUCdycGIz5UBU3UaGhr2oack3va4WViQMUqEnnaJpw834yr3dcAmCzynKlqm5nRSl07aho70dhmgFbX4ZQFdZbc6EBMHKNEfKgK0eNGIGLscKsR8uCpGquCzVYrsSvnZipUF6FidYgfceKppcj9oA64eRMOf3Y/Ym2m6PphbPwP9jz1R7x4XAcgDLet34pn/isdYQHuy+sxu35qGjvR2WMS/ukL3LOzDBHBSkwIMgkwetwIDAtQYEygv8O21dBrRNGFFjRdNbA/y7LAow/NX65HxsMHYX/FeQAzt+D4R8sR5ePoGz0DOmd1hL4fUHrCVKgeODsBETY114fOsoP48+PP4UBZJzB6Nv57x1Y8enskAtx8ozHzVHK+KubOFKW/wk62V4/KwhLHhQogMGUSxnupUAEqVofov1yBfF0fgBDMmRoB63nNXlw+sQu/X7sbZ9r64JuwHFteWo+lCSPhxfeZmetXUHWmEQAw7Beb8NecaTY+x4H4QDkhnuNrPRMqVs5cR0eVFkUAgDikxFo5fdDYgrMfPIPcZ79EK3wRtOBpvPH8r5ES4s232ADa63C+tBuAClNumYNZKZPoQ4wjVKyc6UXDhXJ0A8CIeMSEWgqwv7MKR15aj9+/XYw+hGD6w9vxl8fnYryC3opm+tFbWYzj1wAgBnM046lQHYCKlSv9P6Ky8EamM2UyIpXMbTYgkeSbhOUvbsP67MlQ0TtxAD/h8sVy6AHALx6x4dRxOAIVK1cMdTj7bQsAP8RkTLmR6OhDZ+kneOrh5/GPmm4geBGe3vccfj0tmH6wVulATemNB17iZESN9BV3ODKD3lMcud5wAUUdADAeqbFj4dvfjfrjL+PhB99EWZ8vgjIfx0vbHkDGeBotbMI5m06xBhUrJ/rQXlMB0yawSUiY0I2it57Bg88fhqkILwjTF2cjnQp1SMzZdBUm/awN54uKOLxrOCYkxmGcu9e8ZAgVKye6cKGoCNcAYNh1lL79O2z+iFwrbMaxVz9D8YLHkKKkN5V1yGx6J4pffgj3vMzhbcNWYu/pTVSsoFvkuNHfjKoi0yHc6D6Jjz4qQV/wAjzx0UG8viLG9P2L/4s9R+tBy8FsQWTTHSFVg5gR9DYFaGTlxtVqlBR13vjCF6PSHsS2Fx/G7eFKGIN+g9T9z6Kgj0bXISGz6Zkv4MQ7yxBGPyaHoI8sDvTVV+K7awCgQsKK/8GHb6/FvPBh8IEP/GJ/jl9l3TiYm0ZX21jNplMcgYrVLtdwueIcGgDAdz4efuwXiFURSw4+4Zj/wK8xEQA7dzVQuQ5kUDZd7AHJECpWu7Sj6vsy06VmKmKCB95mPlAmL8aaO2h0tc2AbHrkCJHHI0+oWO3RdwUX8k09R1XTYxFq7RPzCUdWzjKY9prQ6DoYIpseNh1TI+gSlzNQsdqh/0olzly8BiAYs6ZFQGn1VT4YlnInHph5Y5saja6WENl0v1viEEY9sFPQbPCQ9MNQrcXpPgCYhOmTx9guPPeLw10PLcHu7/bhR7ruagmbTfdD2IhOVBcVcSzg98WIiHjEjqGRGKBitYNpbbATAIbFIzZ0qJvGF6PTl+GhmQfx5+/ab0TXxXj97giv31lizqZfw6W3H8e9b3N9ZzqePrYXsWP4G5ucoDZ4SNpQdabSdDl1MqLsLc77xWLRqiz4AaBzVwYim+4oVrYiejP0DCYKRSbQyEqhyAQqVgpFJlCxUigygYqVQpEJVKwUikygYqVQZAIVK4UiE/4/73MJDHAPiKsAAAAASUVORK5CYII=",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/133.jpg"
}
] |
<image>In \odot S, m \angle T S R = 42. Find m \widehat K T.
|
D
| 64,581 | null |
D
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/134.jpg"
}
] |
<image>In \odot O, E C and A B are diameters, and \angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A. Find m \widehat A D C.
|
D
| 64,582 | null |
D
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/135.jpg"
}
] |
<image>Find x.
|
A
| 64,583 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/136.jpg"
}
] |
<image>Solve for x in the figure below.
|
D
| 64,584 | null |
D
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/137.jpg"
}
] |
<image>Find y.
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B
| 64,585 | null |
B
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/138.jpg"
}
] |
<image>Find the area of the shaded region. Round to the nearest tenth.
|
B
| 64,586 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/139.jpg"
}
] |
<image>Express the ratio of \sin A as a decimal to the nearest hundredth.
|
C
| 64,587 | null |
C
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/140.jpg"
}
] |
<image>Find the area of the triangle. Round to the nearest tenth if necessary.
|
C
| 64,588 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/141.jpg"
}
] |
<image>If x = 7 \sqrt { 3 }, find b.
|
D
| 64,589 | null |
D
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/142.jpg"
}
] |
<image>Find x.
|
A
| 64,590 | null |
A
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/143.jpg"
}
] |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
|
C
| 64,591 | null |
C
|
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/144.jpg"
}
] |
<image>Find x.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/145.jpg"
}
] |
<image>If P R \parallel W X, W X = 10, X Y = 6, W Y = 8, R Y = 5, and P S = 3, find S Y.
|
B
| 64,593 | null |
B
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/146.jpg"
}
] |
<image>Find m \angle 1.
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C
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C
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/147.jpg"
}
] |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
B
| 64,595 | null |
B
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/148.jpg"
}
] |
<image>Find x.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/149.jpg"
}
] |
<image>H is the incenter of \triangle A B C. Find m \angle D H G.
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C
| 64,597 | null |
C
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