images
listlengths 1
1
| problem
stringlengths 14
343
| 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/992.jpg"
}
] |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
B
| 65,440 | null |
B
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/993.jpg"
}
] |
<image>If A B C D is a rhombus, and m \angle A B C = 70, what is m \angle 1?
|
B
| 65,441 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/994.jpg"
}
] |
<image>Find x. Round to the nearest tenth.
|
A
| 65,442 | null |
A
|
[
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",
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}
] |
<image>Find m \angle N C L.
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B
| 65,443 | null |
B
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/996.jpg"
}
] |
<image>Find the value of x in the diagram.
|
C
| 65,444 | null |
C
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/997.jpg"
}
] |
<image>Lines l, m, and n are perpendicular bisectors of \triangle P Q R and meet at T. If T Q = 2 x, P T = 3 y - 1, and T R = 8, find z.
|
A
| 65,445 | null |
A
|
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/998.jpg"
}
] |
<image>Find x. Round to the nearest tenth.
|
D
| 65,446 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/999.jpg"
}
] |
<image>Which of the following facts would be sufficient to prove that line d is parallel to X Z?
|
D
| 65,447 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1000.jpg"
}
] |
<image>Find the value of the variable t.
|
C
| 65,448 | null |
C
|
[
{
"bytes": 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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1001.jpg"
}
] |
<image>Find z.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1002.jpg"
}
] |
<image>Find the value of the variable x in the figure.
|
B
| 65,450 | null |
B
|
[
{
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1004.jpg"
}
] |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
C
| 65,452 | null |
C
|
[
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}
] |
<image>Let G H be the median of R S B A. Find G H.
|
C
| 65,453 | null |
C
|
[
{
"bytes": 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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1006.jpg"
}
] |
<image>Quadrilateral A B C D is a rectangle. Find x.
|
B
| 65,454 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1007.jpg"
}
] |
<image>Find X Z.
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[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1008.jpg"
}
] |
<image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth.
|
A
| 65,456 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1009.jpg"
}
] |
<image>Find x. Round to the nearest tenth.
|
B
| 65,457 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1010.jpg"
}
] |
<image>Use parallelogram M N P R to find m \angle M N P.
|
C
| 65,458 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1011.jpg"
}
] |
<image>Find the measure of \angle A F B on \odot F with diameter A C.
|
B
| 65,459 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1012.jpg"
}
] |
<image>Find m \angle 2 if m \widehat B C = 30 and m \widehat A D = 20.
|
D
| 65,460 | null |
D
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1013.jpg"
}
] |
<image>Find m \angle 1.
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C
| 65,461 | null |
C
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1014.jpg"
}
] |
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
|
A
| 65,462 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1015.jpg"
}
] |
<image>Find x. Round to the nearest tenth.
|
A
| 65,463 | null |
A
|
[
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9F88r8R5W3hXHHh+vauNxJY7hW6JzswWXzvcBCEHGnHjYm0NcVd/J5uWQleMcSxIj+F6C1yEVh7J5OxtKWz0mHcGnREffdAH/HAAAKe6aFWP3L7/z85EWpDmp1JxrIihU1N7ClaxZHM8enzjXzuNK7Md7ROfGCewofhbPFW/G/ksDFk4YQlvdebQCgL8MmUn2taBQKHvYjoDrC2Ip+9hJ4qOZLnjG95JwDVkp0WyHwde/vMrzauzDS0THgIG6k9j/1Vf4+v+GEDk1yMI5PWj47hJzKMtESrR9wXLTvfJD86UuWKtvMiOK+kW7i7ULZwBgGn15QltTLxGdW7h+tZEpbYiQQhI5VlAMXefx9bFWAIFIXpaNBDt+c41WZzaHnLJpXYM3jlXhkyVzp7PHn58VvkPZS0TnNjT9wzdy31W0qEblghi6UP3eO/hIpQcCH8QLq2bDnmB5Vf3It0ZFnw7puyqxcscpvP9lA31wHESWGMkeD3h4EyqhERURzJZGvFLeIfgmX17ioAiCdPZcTEU5bgx9im2bY2F4dgniQ+6ArrcF3332Z/zm4HnoIcXS7evxYEyg7ZcEUHpBNea5wx0aHP7iKvDFVaYJ+/wZyE2LpnEzBK8UzhEDw0MevznfIeipsn4Gg8HA9yJcwlAD/rFhHTZ/YaWrmn8aHvqvN/DakzKE2ZGeo9HqELKlFACwLV+CtffOxNc1bSipvm7RGbpJFoWivBnISY0mZ7MFlKp+xL1+GgDTS5qq812LRqtD4fYyVPTpUJwUgXdfzON7SVbxHtEBYBhsQcVnR/Dp0c/x+VcX0Y1opBfeg8J77sGS++5GXlwY7K3vLJN3oGAfM+Xh5DqZWUKgQtmD41VteP9sh8VxudvyJXhwXgzNvhqF38/+FwCJjrvYc6SW9UF2bl0kWOvbq0THlWz/SM7OJB/YXmjVeqlp6MTnZ9vYc03JCwvA2nkSLMuJoXamGBGd3YWxWP9Iho2zCUepaehE9ts1AMZ+UQoJ2gdYQKPVsSKyLV8y7nYpKyUaWSnR2LgyA1X1nThccY1ty1nRp0NFaStQ2so0/MqehnuzYnx2TE2RRITDHRo0d1KujjtIjxv5Yiu9oBKs6HhJ9Mq11LWMFM8VzhHbdY0oKACLZBLsWJeNzq2LcOzJDHZeEcA4oJ/+4iriXj+NZ39XgeOVnpO27irSxCK+l+DViIICzKJYQoUsHQucuzJSlDgr3vFtUVREMJblxmJZbiy2qvrHOKD3NvaykyR80QF9oqnXjrP0UH3+MgpeKIF+3PP8MWVWAe5dshTf+/4juHtmuN1+O28kNzmSjWIplD2C3NaTpWOBkurrAJi55BN1xknFoVi7NAWHXl6Iuo252F0Yy1ZcA0xbgoJ9coRsKcX2j+QekVHqLAtSmVwdS873sfRCUVljQ3AAQI/uS6UoeftVPHP/D/GbMzfgy07K3LSR4IW8SZgV/b7x1eoA6t5B1iJZnBZp42zHSJNORpp0MtY/kmHRAf1KeQdeKe8gBzQA3L6OhrNMAWPIw1vxh3VzMba4xQBdz2WUffgu3jnWAL2+Cn/YdggPffwMZgX6pr0TFRHM+s5O13cJMkpIojOK5usjmcZzZ7pWdEzxRQd0WPBIUqZN07+nGRcuDgAIw5y7FmNBTrKVbdM85C/ORdyLT2DzMRVwrhIXOp7GLKl9CaDeyP0ZUTjc0YqdcjV28L0YC9D2ahSm/hzTaIC78CUHdOJ0e+dfGaBVVOOrIQBIwWJZzPh+moA4LLg/Z/hBB66rfbslatqMkTa8QuwoSJbOKOTKmwCY8C7Xjl1fckCrugfHsXRuoe1yLXoBIDADqXGWugaYooem39jwPQ6x0+xvQ+uNzE6Ywh7Lm7oEt0X3vLvVzRi3OPkJ/Ha6Mzqg1y5NsZgBvVOuZtfqKRnQUyNGxKOje7xcnZtousg0TsPsdCROttGGxKDCxW+Zdvu4Mwezp/n2bW26Da9tFd70Dd/+64zCtHJcSKNwvcUBbXckUH8NF08w6fwRC2chflwngAFD9V/jw686AUxG/uMFSCanATbJorBTrkb5VXvSE7iFRMeEqx0j3wqmrRiEhLc4oMf7Bja01aFcqQcgxuLMeAtRK/ZM6NpP4fe/2o0KPYDEJ/DiipnkqAQgk4YDcrUgOzWS6JhgavLHCfCDaorRAb1IJsHm3kFUKjpx8Mw11ucj1BYcxm/g7gFrzt7buNkgRxUAIBIR/VdQZWnSgeYGrtSfweHd7+FUpx7wz8eGN/4dCy00cPNFpkeOZH8LLUmQRMcE43iUvLAAj3LOepcDWovW+lowXa4VOLDpBzhg65Lo5fjZ77fi2XmRPp2NbIpppHB8pz33CPGu442uAcZJ68njUoTugJ4SEsiuw2IOieEGFJWXbb9Q5CwsLMjDgruXYunS+Uid4rt5OZYwtdTHd9pzD4mOCUZrwDi5wNMRogOacdCPU4yoaca5U50AApHyyiF89uxsh+bNEwymVqzQIlgkOsOY9pX1xskFQnRAq3sHx/iYbrfWo+omAMQgL3UaCc4EsO0/4wcSnWFaTMLlkineYelYgm8HtOl7e6NXO+p19ehpqgOTcZOMWQnhICaOfVX93EGiYwHxFO+zdCzBhwN6/Pe2H/VVVRgCAOk8ZMbbykQmxmNBaiQgV9tZ1c8dJDrDCLUNAFfw4YBuau8z9yEZVGiougYACLwrDVLaW3klJDoWEFJ4kQ/sdkCHBmBtrmMOaNPz+gZH+Rq6G1FT1QcgDFnZSZjigt/Fl3Goqp9DSHSIcRntgC452oA325kq94p+Ewe0OBir5kkm5IDWtyhwZggAZiA7WUw5NxPE/qp+bqGM8WGuqT2zXQRXGB3Qv1A043LzNRxdFoenTVwuh1WDNltwKJQ92HOkFqHDavLLL5pQcrJpOHI4hLa682gFAH8ZMpOEnRFOOA9ZOsMYJxSYthIlzLmt7oNu7zVI3rsLScvT8MDyNLym6sfxz2tRcrEbnw37Ky05oLVDetz310tmr3dOo8djn1xG0alr2LPuTkhXv4OG1Vz/VgTX0CdsFJ6cjexutCfqAADB947MrJKKQ/FvT8/DvwGoa7iBo8cv44PGPlQNNyo2dUBb43CHBtj3HQ78OF+gpRmezxinPY/QX5iwm8H3zyGgeAb8pVEW/z89ZSrSU6biJwCqqpT49OsmbG3T2vXahzs0qKrvFOysJk8kxETAxzjteYR8OoRd6JVq3D6sRtDqTLvOz8mR4hf/rwCdWxfZ/TNKL6icXR5hASG2NAFIdAg7GfyayROelJvo0HU3eu2zdADgo/OdHt0DmrAP2l4RdqHdU4PATUm4I8qxMKwjfYnOaXRYfoARN+G34CCchSwdwia3aq7CUKFBUJHM4WtFQQEokthXy5YWNHI7+tIQQnchVIuRRIewya2TTH+bSTkJTl3/n6vSbZ6TFxaAmq2LUf18FjuP28gr5R3IfrsG+VtLsedIrSDHqggRR7a2XEJ26ygUKmE1POIbg+YWbr1fi6Dd2fATOTfaJSslGu89kICnv7hq8f/zwgJQsj4XoqAAQbbg8AaSpgunYp9EZxhjRzshNrLmk1tVzNZq0h+TJ/Q6a5emoL1bi5+fbjd7/qn4MPz3ujvHtM7guwWHtxESLJyPunBWwjM2O9r5KLdKG+CXJ8KkLOe2VqaU1TIWy8Mh/rgjfBIOd2gwPWKSTaHwrh7QBP1VCKsYNLdw65WLCNqdPeHXUih7cKT7FgDgsbticKFjAHDCqhR6D2ghoeomR7LHIFSvP9dov1EAAEQrsyb8WsdNxsg8XDBiNU2kq52x/Ub5LwvJAW0B04bsptNV+YYsnWFMHW1j22j6JtqD53FHUZTVsgdHeO80IzrropjtlKu72pEDenyEdD+T6Axj6mgbGBRWe0c+MFaUB79314Rfq6ahE5Xa2wCAx++Jn/DrjQc5oEcQ2hQIIyQ6w5ian43tN33WD2DkVmUTAGDw6W+hl3cgqEiGSTkJToXNPzujZI/zhgs6uehq5+sOaOMUiE2yiVuqrsQ73l0XYPpN16chSyd4mQyBLTMw+HUtbpXUoa/gCABg0rbZCHpwtt3RLI1Wh1erbgAAfpUUxr7PXHe180UHtNCmQBgh0TGhSCLC4Q4N5MqbfC9FEPhLoxC6diFC1y7ErZqruHXyMm69X4tbr1xkwuhrMxC0bDYC06ZbfY2q+pHyhXsLEy2ew/V2VohDCN2BUVAXpEbyvBJzSHRMSBOLgA4NZSVbYFJWAmPdrL8X2rJ63CptgHZDNbSoxh1FUZi0Kh2ih+aOKQg9VNbCHuekjlgOQtnOeqsD2jRSZ7qVFQIkOibIpOGAXE1ZyTYIWpSKoEWpMGy8D9pvFNAePI/Bp7/FIL5FQPEMBK3OxKTcRHQHBOA3CubmfyvH3FciNMettzmgTa1HoTVoJ9ExYXrkSDW0kEZ2CBU/0SQEL5MheJkMt3/dB+2JOgy+fw79y4+hH8A3/5EJDA8GXjw/zurrCC3K4g0O6Mb2EReBI+1FuEA475IAMP1GUHUPkug4wB1RYRCtmgfRqnnQK9UY/LoWJae7AZE/5gX6Wdw+FSdFYG9jr+BmbZviqQ7o0/XM8Mi8sABBiSFAGclmmIrM5TZyJjuLvzQKXSvuxAcixm/zdLbY4nmRIcL6MNjCkzKgjZErIQ4aINEZhbHh1DcK3x4zPFG+rhkpe3j03iSL5xgr+21NixAiWSnR2PK4DAPbC3FyncwsF6aiT4cNpa1I31WJlTtO4f0vG6BU9XO2NnXvoGAjVwCJzhjuz2BuHuOenXCOkurrABgRtxbtYSr7PRujA3rHumx0bl2EY09moDhpxLo43KGxOYTQ1TRfHxE4IfXRMeJZ9i0HpM0Y+SORM9k5FMoe1um6KnuaXddotDrB+R4cRSgO6HNXRqz09Djh3b+e/Vd2A7MTprDH8qYuEh0nMK0of2i+1Op5kikj0cIWVb9Xvdd8OqCNroEiiUiQQk7bq1FIxaHsaGFjBIBwjPfPMtm9xUkR4+axiKcIM8fF1XDpgNZodaw1ZXQVCA0SHQusnM184+yUq6HRUh2WI9Q0dLLf5qvnz7D7uqZ2YeXquAt3O6BNy06yk2w5kW/gxKuFSEmciZSiv6D+tkM/ymmEZ3sJgMI5YmC4FqeupUcQeReewudnR7ZWuWnjv2+mSWtCGnvLBe7KgK5uHLHOTctOLKK/hosnWgEAEQtnIZ4jE4RExwKz4kd8Cycvqkh07ESj1bGFk9vyJTY/IEL0N/CBKx3QpltbW++voa0O5Uo9ADEWZ8aDq96CtL2yQFREMBv2/KrW83JI+MLUtC+cYzkhcDTkPzPH6IA+9PJC1G3Mxe7CWPY9AsYfQqhU9bNb2xV32nr/b+NmgxxVAIA05HCYz0NfNVZYcacYext7cbhDA6Wq3yMqi/nmcMU19timaT/MksQIVHhgciAXONqCo9ekD1R+ui3R0aK1vhYDABCegZRY7nook+hYgfmjMZMtv65pw9qlKfwuSOCoewfZEPDuwliHt05dA+SwHw+7WnAMM15CJovhBhSVzP2NnHQkiPzctfQx0PbKClJxKFsSYcyuJaxTqRgx8wtm27e1AoD4aOY9pgxw+7CVAQ3YmZCpaca5U50AApFSMAcx3GkOic54rF3IhHwPd2jM9s7EWA6eYbZWeWEBDjneZ0T5Rq6OOzA6oN99Mc8s9+ferBib195urUfVTQCIQV7qtOEGJNxAojMOS+aOtOE8eVHF40qEjVLVz1oqa+dJbJw9/usQznHoIvOlWJwUYYf/UY+epjrUAgCSMSuB2/osEp1xiIoIZpO3NpS2UqKgFUwrylfeZb1ZlyVMCxIH6P11ijJ5h4MJmf2or6rCEABI5yEznttBfCQ6NijKG/kjfnOeZp1bwp6KcmuYzhsjnMM0arg40w5L06BCQxVzTeBdaZByubcCiY5NclKj2TyJ3399lefVCA9nKspNCTGJcsmbKFfHUZyKGnY3oqaqD0AYsrKTMMWtKxwLiY4NREEBWF8QC4Acypawt6LcGpT/NDH2n2hij5fl2HYgA4C+RYEzQwAwA9nJYnAYuAJAomMXph+m/d8087gS4WFvRbk90JBDx9BomQJRgHn/7WsNMoS2uvNoBQB/GTKTuBd9Eh07iIoIZkOSO+VqirIM42xF+WiM+VA05NAxjlaMjGv+YaG9M+J70PDdJeZQlomUaI4dOiDRsZt/WTQSlTn0bcs4Z/oOjlSUj0eaWGT7JMIMjVaH179kfIxFEhEWyexMVdBfR30583cLm5eKWB4UgETHTtKkk83C5+7ucyt0HK0otwearGo/RyuUrJX5wr32zZUHAMN1Bc5eHgIQjQVz48GH3FO80gGKlyaxkYL9J5qw/pEMnlfEH85UlFuDJqs6hqmVkxcWYF+YHABggKZRjtN6AAhFxEAzqqtsJb0GY1paOqRhrtuGkeg4gNHa2SlXY0NpK5blxHhVX19HcKai3BphIroNHcHUytm8NMGB4lqmspzp0diMki3/ihJbl4Ssxd7TW+F4XNI6tL1ykOKlIzOc9n7ZyONK+GOiFeWjCQsOZI/5HFDnCYz25azIc0QOutBwVuHYD8xMR2K4a2WCvmIcxNTa2SlXo9gHx9Q4W1FuDdNxzsT4/OlYA2vlbHow2UHBj8GK3eVo2O2etdkLWTpO8NJDaezxy/sv8LgSfnC2otweBgYpV8caSlU/m5fjUMRKYJDoOIFUHIrdhSNZyscrW21c4T24qqLclKkRIwWHje2Uq2ONtz4d2RrtWDOHx5VMDBIdJ3lmeQpbk/Xq/zT4TAh9IhXl1nBFuN3bKZN3sH60TbIoj97Sk+g4iSgoAK89zLQwrejT4Z2jDTyviBsmUlFuD9fUviHejqDR6rDxYC37ePNjs3hczcQh0ZkAy3Jj2VaRr5R3eH0x6EQrysfD+D42d1Kuzmh2HaplnccfP5rs8ZYhic4E2fr92ezxcx/IvbrR10QryscjMoQCqZaoaehkM7+LkyKwqiCR3wW5ABKdCSIVh+LjR5MBMNusXYdqbVzhubiyonw0U0KYXJ2dNI6GRaPV4bkP5Oxj0y84T4ZExwWsKkg022aVyb2vw6CrKsqtkRFLuTqjGb2t8pbeQyQ6LsL0W2jjwVqvi2a5qqLcHrx5i2ovxytbvW5bZYREx0VIxaE49iRTAFrRp8PPPzjP84pchzsqykcjmTJS79zi4/2KlKp+vPo/TDQ0LyzAa7ZVRkh0XMiy3Fi22dfexl7sOeId/h1XVpRbQzzFsyMyrkKj1WH9vu/YbdWu1Rles60yQqLjYjauzGA74W0obfUK/44rK8rtQdXtXVtTR9h1qJZNS9hdGOuxpQ7jQaLjYkRBAdiz7k72ccE+uUe3N3V1Rbk14ky+zTu6fTNXp+Rkk5kf55nlKTyvyD2Q6LgBqTgUJ9fJ2Mer9lR6rGPZ1RXl1nCXmHkKZfIOPPbJZQAjfhxvfU9IdNzEIpmELQo1OpY9MSrjzopya5yu9635V0pVPwr2jeTj/PXZLK/z45hCouNG1j+SwfZV3tvYi5f2VvO8IsdwR0X5eBjfK19CqerHqj2V7OOT62QeXcxpDyQ6buaXazLZxEFPi2i5o6LcHroGPM8idAZ17yBW7alkI1Xe6jgeDYmOmxEFBeCt4myziJanCI+7K8pHEx/NvEdG68qb0WiZLbep4PhKo38SHQ4wRrSM/Xc8QXjcWVFujRlRvpGro9Hq8NLealZct+VLfEZwABIdzpCKQ1GyPtdjhMedFeX24KnRPluMFpzipAhsXOk7ggOQ6HCKJwmPOyvKrZE0PZw9vtGr5eRncoklwXmrONtrQ+PWINHhGE8QHndXlFsjJNh7P3xKVT8Kt5f5vOAAJDq8YEl4nv1dhWDyeLisKLeGvMl7cnWMYXGjkPuy4AAkOrxhFB5jVMuYx8O3L4OLinJreGN+Spm8Y0xY/N0X83xWcAASHV6RikNx4Mf5Znk8D7xxhtdaLS4qyu2hTyMMq28iHK9sRcE+uU+GxceDRIdnjHk8xmzcij4d4l4/zVt1OtcV5aMxWn5ypefOv9JoddhzpBbLD4z46o49mUGCMwyJjgAQBQVgx7pstlYLYKrTuXYwc1VRPh5pYpHtkwSMuncQL+2tZidx5oUFoPr5LCzLjbVxpe9AoiMg1j+SYVadbnQwc+Xn4aqi3B4UKs9rb1HT0IkH3jjDRqiKJCKUrM/lrFDWUyDRERiLZBK0bF5g5mB+4I0znGy3+KgoH41MyuTqGLOhPQGNVof3v2xA9ts1rP9mW74EB36c79XV4s5CoiNAjA5mY+vTij4dCvbJsf0j983V4rqi3BphIs+K6ihV/Xjyt+V4+our7HMfP5qMLY/LfDpCNR4kOgJFFBSALY/L2GbvADPepnB7mVsmifJVUT4eCmUP30sYl5KTTYh7/TRrlRVJRKjbmOtVkxvcAYmOwFmWG4uWzQvYsHpFnw7Zb9dg+0dyl/p6uK4ot4YsMZK3n20vCmUPVu44xXb6AxjH+4Ef53tlrpGrIdHxAKTiULz7Yh47SRRgrJ4H3jiD45WtE359PirK7WFgUFi5OsZQePquSvb9Mkan1j+SQdspOyHR8SBWFSSOsXqWH6jFyh2nJrQV4bui3JSpEUHscWO7cHJ1Sk42oXB7GRsKB4D3HkhA6ZZFFJ1yEBIdD8No9Rx7MoOt3TrcoUH6rkq8vK/aqWxmPirKrcH3zx9NmbyD3UqZ1k7VbczF2qUpZN04Ab1jHsqy3FgszpTgT8ca2G/fnXI1dspPY3dhLNYsSbTrA8xXRbk9XFPzV4dWJu/Azs8vm4Xu88IC8NrDKZToN0HI0vFgREEBWP9IBlo2LzBrar6htBXRvyzDniO1Ni0fIVSUj8a4fWzu5D5Xx2jZFOyTmwnOx48mo3TLIhIcF0CWjhcgFYdix7psFCt7sPfLRraUYUNpKzaUtmKTLAprFseP8T3wWVE+HpEh3N6WGq0OVfWdYywbAA5ZjYR9+BkMBgPfiyBci2KU+Bgpkojwwr0JWJwpgSgoAGXyDnbe0sl1MsFMInh5XzW7dsMb97nt56h7B/HpGSX2nGxlt5hGSGzcB4mOF6NQ9uAfZS2sNWPK7sJYfNdyk81CHtheKBinaMnJJjYHxtWiY7Rq/lLaPGbqRF5YANYXxOKh+VISGzcijLuMcAtp0snY8vhk/GhFyphvdNPQb5FEhM5eLaRi4d0OGq1uwmJoFJrSCyqLAlwkEWHTg8nISY0WjPB6M2Tp+BDGD9/himtjtl4A8+G7PyMKBbPFSI+bzNsH0HTbV7cx16ksX3XvIC4191gVGoCx9pblxFAWMceQ6Pgo6t5BnDjXjvdPXbNa0b1JFoUFqZGQJUZy+sFUKHuQvosZtWuv6Gi0OtS19ODclS58o+iyOrBvW74EhXPEZNXwCIkOAaWqH+V1Khz9TjXudM3ipAgsTotEckw4xFOC3SZEpqJjycGt0erQouqHvKkLta19KL/aO24rDBIaYUGiQ5hhui05dLFzTFRnNEUSEdLEIsik4QgTBSBpejhCggMwNSLIaWesRqtDyJZSACPW1jX1IJo7NTjR1GvXmlZlT8PcmZG8bhMJy5DoEOOiVPXj4tVuKK7dxFe1aqebaxnFyRr2iIk1NsmiIJOGY+7MSMRPC6XIk8Ah0SEcRqHsQVN7H9q7NJArb0Kh0nDS6a84KQKRIQFYkBoJyRQREiRh1JnPAyHRIVyGuncQN3q1GBjUmVWI17b2oXtgyOb1xi0a+3i4t06cOJS2SF4EiY7XcAMnXn0MxX9tBuAPyfN/w5c/n4+Qca/pRfmvV2PN2wrgzq04+skPkUrVeISboVvMW9Bfw8UTxoQ/PTreO4IytX78awwqNFQxzdgjFs5CPN0NBAfQbeYlGNrqUK40EZmBL1Hyz1aMa8Z2N6Kmqg+AGIsz4xE03rkE4SJIdLyC27jZIEeV2XMqfP3hSTTdtn6VvkWBM0MAMBOymVPcuUCCYCHR8Qq0aK2vxQAApP0Uv339AfgD0J/+GEflfVauGUJb3Xm0AkB4JmYnUJiZ4AYSHW/AcAOKSqYqOyQ/E4vvexgrAgHgO/zt6AVGjMbQg4bvLjGHOelIEPlxs1bC5yHR8QY0zTh3qhNAGObMjkO4eAFWP5UGQI+Of3yF6psW9lj666gvbwMQiJSCOYjhS3MMV/GPp7OQkjhz+N9LONxuZ5Lg0CW897jJtbO34kTvOPtJQhCQ6HgBt1vrUXUTAGZifsY0+CESOQ89iJkAoPoUB79pH+NQNlxX4OzlIQAxyEudBn+uF21Eo8SlKtNJFmp037RHdPToKjuIt8+YXJsnQ0o43dJCh/5CHo8ePU11qAWAwDmYMzMEgB9EWd/DugWTAbTj6N/LoDRTHQM0jXKc1gNAMmYlhHO/7GH0Vy+izGzSjAod6lu2L9Scw4E3D+IG+4Q/YvPT+bPYCLsh0fF4+lFfVYUhAJidjsTJwzbLHQm454klCASgP/EJvqg19ewwjuc+AIidi4wZk7he9DB6qK/U4goAhOdg4fxIACo0tFmvdGcYQtux97D7nAZT770P8wMBIBZ3z5nBn8VG2A2JjqdjNcEvENPv/h4eCQGASvz9i0sYqY7qRdOFK8xZC+dgZhBf5kEvFJU10ANAzgN4ZP50AL2oa1VjvLRGQ9dJvL3tUwwFPoifPJwK5RDAt8VG2A+JjqczToKfX1QeHnt6FoAhXNn/BaqMDmXtFVQfvwYgBBlz4sFb37zb19Fwth3M1uhOZE2fDkCPns6b0Fq9aAANh9/HR6o7MPOFxzFXU8eE/SdnIIU3i41wBBIdD2f8BL/JyFrxEJIBM4ey4dplVPcAgBR3zYrh7yboacaFiwMAJJifFodosQSBAPqaVbC2wTK0Hceb205AL/5XvPLDFFy/yKQKBC7LRipvFhvhCCQ6Ho2tBD8/TMpcgWeXRGLEoaxHd8N51ACAvwyZSXy1hjBAe+UCvh0WzDmJkQiPnoZQADh7BdcsBrB6Uf3he/hyaDLyXlyNRSFK1PxfK3i32AiHINHxaOxI8POLQ+H37zNxKKuhVNQyjmdZJlKi+XK93kJb7Tm0AUB4BlJig+A/TQoZAPRdR+fN0V4dA4YUn2DnnhogeR02PZ6BgGt1ONOqBzAdOanT6Gb2EOjv5MnYleAXAPHiIqwR+wOoxN8//wzf/rMBABA2LxWxvN0BN9E0vDXyX5KDtBA/+EWIERcCYKgLPf2jkvwMKpR98FdU6OPx8M8eQ7bIgJtX63ABAPyzkJsWwfUvQDgJiY4HY3eCX/hcfG9NJoAhXHn/Lfyxsg/AZGTNksJ6A1E3w7biCMTMuYmIAoCQCEQHAUAzlNdNXckGaKoPYNsHDfCf/294YWks/DCIqxfOMSUeyRlIjKJguadAouOxOJLgF47M761Enj+Ani506wEgHYtk08Bb9QPbiiMOi2bHMIIZMA0z50UCuIErJp0HobuCz/7wN1xBCh5/fgVSAv0Agwp15UzYPyQ/FbGkOR4DiY7HYpLgJ52HzPjxuuH4ITD1HjyxVDzyVEgGUmP56qBjgOZqHePMRipmJYQNPx+KqfGRADS43j0wXLqhR9fJv+I3x1QIfOBFPF84LJRs+cRk5Nw5E5Sh4zmQ6HgsXWg4qwAABN6VBqmtb3q/WCx+bOlI+9LMdCTyVqc0iKsXzw8LZibSYwKHnw9GVMxUAH2o7+hhEgSHFDjydglu+C/AhhfuZf1WI+UTM5GfLubNYiMch7pdeywxWLG7HA277T3fH1FLt+Fc0zZ3LspOutF0bnhrtGQOEljBDESkmBms132hGTeQCcNnf8DrZ/ow9ann8GSm0VlsUj4RMhezE6kXkCdBokNwz0AjKk+owLbiYP/DH5ExUkQA6G1WQd19Fp/t/hxDgffjpXULEMmaMyblE7xabIQz0F+L4JyxrTiM+CEwahoSAKCjEWX738Hey8DMF57Fo0kmcTaT8omYBVRZ7mmQpUNwjKVWHCPcET4FYgDo+RC/3gEg+vv46RNzzUP7bPnEDNwli6OG8h4GWToEx1hpxWFkajxmRxofTEbehh/iftbRDAAGaBXV+Iotn6CkQE+DRIfgFpNWHBYzov0nY1racAg98QmsL0pDoNkJt9B2uZYpCB0unyA8C5rwSRAEp5ClQxAEp5DoEATBKSQ6BEFwCokOQRCcQqJDEASnkOgQBMEpJDoEQXAKiQ5BEJxCokMQBKeQ6BAEwSkkOgRBcAqJDkEQnEKiQxAEp5DoEATBKSQ6BEFwCokOQRCcQqJDEASnkOgQBMEpJDoEQXAKiQ5BEJxCokMQBKeQ6BAEwSkkOgRBcAqJDkEQnEKiQxAEp5DoEATBKf8fExgtKHXE+GkAAAAASUVORK5CYII=",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1016.jpg"
}
] |
<image>In \odot P, m \angle M P L = 65 and N P \perp P L. Find m \widehat N J K.
|
D
| 65,464 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1017.jpg"
}
] |
<image>Find the area of the triangle. Round to the nearest hundredth.
|
B
| 65,465 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1018.jpg"
}
] |
<image>In \triangle C D F, K is the centroid and D K = 16. Find C D.
|
C
| 65,466 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1019.jpg"
}
] |
<image>m \angle 4 = 2 y + 32 and m \angle 5 = 3 y - 3. Find y.
|
B
| 65,467 | null |
B
|
[
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zY4Wm2P6ifzD9NyE30n6bA9e5evoERwDwwetKGvv3662cV0bBmaPs+noN721Ow4APPR6dw/Njw/G05+2Ml9m9fA7zFWG4w6qPoS5yC0rqF7Ew5rLnnbk8u/zQjR+Mpuv9w+nWQbs3SFVX5qPT7gfTGBgvnGC33gAEcGuvLlh3v5VyYcsynpzxBvvyDLj3mMT8V2Yxvkf99tfapYTTRw5hyoVMZe3MB1hb11P8BjBp1iymT4ixuwOU8fJu1r6zH3rPYv5f7ROGhoczjZQc+5zFbx2y+Fkap86XQAfthvKb/K/TFQtYTFznaloK+wGIJKablXqS8hwOffg8iXO+JRd3/Ec+x5svPUBMQMNi+ZrEmM2J3afqPs+vB4PjYhl02zDuuD2W7u286yGS17l6ZBc/lnkSOnIwUTbVY1TQwruBfyblp/j632+xz9CafhPiKV/3JQe5zKmLVwERB6tEh7pSwZUpbFcE0CqKiCphO2NhGt+/Mosn30vGQAD9Hn+ZV/8ytF6mr1PgFsJ9HxzgviZ5s1/IykyniOvkfL2QacktajjPl9jHn+cPMTXX+mRfKbFzwHM52T+t5F8bsyH0MZ548tf8+P2XHLyay4FT2RjoWLuvRUVcy65XE+NlUveaOgsR050Q5e5lpPziDt559mkWb9aDex8mLV7ArITu+NioC7kFJXy9S69Egdq08CT+5gCZN6pQyLm0s4CBK8e28+Oxms7rQuCDZdV+2tki3J51xT6npDFvB2/N/9iUgTnrQQZ3yOVga3e4auBSZhYFgFZvkSIOTUXxGQ5tzwE8iYi7mY5uAAYKj37Cs4+/xNeZRdB2FM+tfJEHere1+YvZlpJF3MqU6v+xO4vEsDO8lthXCttox9CXtpL2Uv2eXf/Pr4DDa5azOrMM94G/5/HhQbi5Q1CUL+jzKDuYyUUD+GnUdGjyUKarpaCaqWig2pHYbu1xNxZxdtNCJo7+O19nluIf/xfe//oVHrZDGFL1+daF4QYrMgp4YkWyI5Yv2I2RsoxvWPLqTgzug/jz7LF083QDfOnY7cYIBr2erGvaDU2r2iaunW8zdLRZxbKBajg9OhWx/92/Mv4Pb3PMAOBPv7EJDOlo3+exaENqneesyChgW4rrtldXDeM5Nv/7TX4uc6fdpKlM7GVO+LsJv8Ab4lCUzumsX1RbYl2oam+6ToXbNU7u329qoNriOkff+zNzPzpARTvTbDYt/ZzkkU8QY6Mn3XJSWF1sPHCRgDaO/6yLSsrJuHjV4a/b1JzPLXFwarSBvK3vMXfDGfBM4G+Px+GnfK2etGkfiDtg4AJnLhVDN23+Hbj6ZrRpMGaTtv/GSPeirXz0EdB2JE+9/hjh38zi8dVpkP4f3tk4luVjutgUqrOsbK2LecmXmZd8uV5LF+pB8QE+mPchl2lN7OzHGNXRMl3LHb8OwbQCrpBD+vkCjFTtMaENVJ945RJcyeDAfnObMXfaDPg/3vziFf44qA+3T36QWHdQrIdi21JqW7i8k1GrFHHy42W8kV4G4ZOZMT6yWiane/tgogHI51DGRbS6sZArrAkwnE1lVxmADz0mz+OVp0fT7UYVoGe32/nd8NfZ8322XdaDZX/DunhvRAhDbm76OaS+8zfi3cKDNovHNfi1Zq1MZlFKLjOj/Vk4pa8DVmcfbk/914azjJSf+Y7F87eYtozpy5jUa1mtzyg4eYE8oIMD1uhoVBUH1xgzZtFA1X0Ejz9RIQwAuHVmxNQH6Pr9q5yy0/fwzPAQxn+eXus5t7Rw53dDQ1UJZxa0sqv6wfkxXuSn15ezuXqqRM3sO8X5ctBiiUWTLymwjU45Liq1vQug82LRQDW6FxFtqwa13dD1Hcu0O//DU3ZaD+PiQlmaW8L0redqPCfQxepX1MNA3vYP+OfHGeAey9TXnmJYx5rEsZjja//O8+vOQN4pzl4uJ0aD6tDkPofG8JprGosGqj79uhFk7RN368zwKRMw5TPa53uYdm8USVOiSQjUVfr56Pamxz/klEquQ1NQcpRP//0RZ/CkyyPT+cOogcTExNTwbyB3DLnlxhPPcu6SNr0O4pBsZIyXUtmXXga0ZVDvLuisnuVGi5h7mDrwRs5++n94Z+NZm/sjDokO5ItZgzEu/g05LwzBuPg3fPn0YKWZzoqMApZ9ebzhv4yLos++VscZxWSsf51XdudD27HMTBxkEbq0hju+Ae1vlFyd44RGixFVFYeikua+rTBSnJHCTgNAOP26t6t5q+AZyb1/Gkc7wF7rwRLL3JHXEvsqw2Cnbz3HD3tr3n4INWO5/bXWENl44UeWLt5MGa2Jnf5ILdsJM254tw++0QvzCifO5VnkvGiHJhcHy6zI5pBAUzv2NFB1x2/IBP5UT+vBGjovD9ZP668IxMi1x124ZN4xVCvfNl5i6/JX+SrHAOFTmPnbKJua0PyqTXu6uAOUcf70JeqyTdSgycXBdbIiAfJI23cjxdmWBqqe3Rj18PAbF1f9rQdLggNasmRClPL4wXcO2GAmOw5jnvN3bM6+UtPvYODq/o9ZsiYNiGDScxNtnN0J+HWg642M6qLDmWRpsMRCVRdp858/2JG7lu4mbamt53sQMGoRxzIXOXQVQ6ID+WxsMeM/T2dPYTlzPznaJNWa7tGBlDy8A95p1LdpdCzLtDtXCr2706rfdDakT7f/RT1ieDL5FE82eHWNhyo+h5nRpq7BV4rsCQgLDWFcXCjzB5jiISsyCljyReM7KH/l0zwK6yznVbhS+buqDsktmbYVDgmOYcaYKCWCMXt3Fqs2pam8IufAXJTlaqMUVBEHy+GkQtOh8/Lg5cm9FAflw9+flnJuGzDPq3C1UQqqiIOPd4U/V7znTYu/rzcf/qGP8jhuZUqTOiidEfO8ikHWmgI3Y1QRh1CLdtw1e4KFxiIyuDVJU6KVx+OW7aXYJVLZ7cfy5mV5U3MFVBGHhjTsFBzDkOhAlsYHAabt3RMrkkUgrGB58wrV8IyJxkAVcdB5eSj73p0nXbOnpBaYdm+UEjlakVHAuxvFQVmV9AsViXr2taR3flSLVgwNNXl+JWKhLnMn9VKKtiTFujrmdv9VC9tcAdXcr4O6+UFKLnsKy12kr4M20Xl5sGzKLZxftpc9heWMXHuc5Dbe9Ilo67D3KEu9WK/nladUCFW3LHVS7Rel5AIwLMr+id7OjmriYDnt6nRWoYiDigQHtOTtydH0feMAAFNXp7B+Wn+HfScF3f/T4NcI+b9w8GrawcuWzsjITi429BkVxcHSKZmckSfTmVSmT0RbPhsbrqRYT1t5kLV/HtCgjECvod3xOBFU7+d7dPbHTXcTAJtXJsONu3hTYTljpWdImyZ9by2gms9B5+WhZJxtPt60X7pgnXFxoUoEY0NWMS+sOdyg1/uVvw+ekR3q/c8sDHVhPLuOKeFdiQj/E5+etWicYrzCoeUP0j30Vv74wWEK7axhMzvLY308XNKyVTV9+tZI09ZiQ1YxuQWS76AFHh0ZoYj2opRcp2gS4xYcx6TxIWDYwWf/TTfNB8FA3u73mL14J63vfYrZD0TbPHvUjNnfMKan4/wvzoSq4jCoR0VH5L2pOSquRDCj8/Ko1iRG8ynWbh0YMv5uAsln/+fbOPmLEWN2EstfXElq1FReee4eOts5rfxAWsX12D/ctTIjzagqDpHBrZWLcG+65DtoBXOTGDPaT7F2o0Xfu3jkFh8MB7/hh+QDfDnveVYev4Un/zmVIQH2+00Onaq4HvtHiuWgCmaTbfbuLMnQ0xDBAS2rpVhreut3UxhDx/bHncN8OPMJ5n15neEL5pDYu029pkmtT74EmCoxXatBUQWqi0O8xbCV/Sdla6ElhkQH8sGdIYApxfrp1Yc1LOAtiLh7ImPawpUzV+j46ByeHxtuU8u2quizrynFVma/mCuiujjEdKsw2bYeyVZxJc0VI0W7FjEktCsRNfzr/ewWaspTfWh4RKUU66ZoElM/jJRmnyXzigFwx6dzJ9rZ6Wcw8+OBC8rxHX06Omh9zofqBeo6Lw/mDwhk9u4sZu/OYsaYKJfqttP4GLiWc4lcWhDcbwCRftU/W48Q31ovhLmTepG3IpkVGQXM3p1FVJAP4+JCG23F9cF4dS9vPfMq+wyA2TE5KYqeN9kvEOYtRUKgziVDmGY08VcYf3MA7DZ5xPefzJGEKIdSzpVLFyijHbdOX8S8oe3sfgWdlwcv3N+TgzdSrMd/nk5SG512vidjHsnv/ovlh/y55+XnCFnxLK8f/I4tx39Hz972VVKm6vOVLcW4vu0bY7VOg+rbCjBtLcxRi/e3nlF5Nc2NQs6lnQU6ExFU/5Lj4ICWlZrEzFh3XCMRDAN5u1fywtJ9tL53Bk+NH8WwMb2Aw2z4Od3uCdY/7K/YUtwzMNihK3U2NCEOOi8PHupX0fxUGxddM8H4C8UFv0CLcEICbcs4rInI4NZsnGhqc29OsVbbQWnOZzjWZiyzZ95JZ4+WdL/1N4RTRvr6LaTY0dq/uLRcmTvqylEKM5oQB4ARMRWOny92nFVxJc0M41UunS6Abl0J8mn41z2if1ClFGtV53AaL7D5Xy+y8og/9zz3OHd39gbcuClqCAndPCF9I5sP2d6G8OfDFclej8R3aYQFOxeaEYfI4NZKzfyqfZLz4DAKL5B2sgjPLt4U7PiQeYl30z80gv53Pca897eSWWj/ILZp90ZpYA5nCWc3vMLsj0/jf+8MnrontMKBdlM4t47pBaSyYcsJimx8xeU/ngZMtRSWUTRXxc1oNDZspJID2ZaSRdzKFAA2ToxiRP/6V/QJJoxn1/H7obPY7utHy7xSfPsNILJNAalb9qM3gHvvv7D2P48T08rdrtctLi0n/h/blA7ijf19zVqZzKKUXGZG+7NwSl+Hv/6BtBylZP2DO0N4aHiEw9/D2dCM5QCVHZNmFRcahrHkGlcMYPAYzt9/SGLzZyt5+91P2bx3Pc+NDMZw6G1eeGMXeXbeIprbHM41P1c4wl3dEWlGU+Kg8/LgmeGmjLwNWcXaL/jRPEau+8Xx/PrPWLdmJmMi/W6Y3m54+PVh0lOJxLoXcmzdZg5esX97ofYcTkeRqs9XKjCXxge5vCPSjKbEAeCu2ArVXvRtuooraQ644dEugr4xMfTt1q5KUosbnqF9uDXME7IPcvRs/bqAm+ZwhgMoczidzV+0YlOGcmzpGHd1NCcOOi+PSt5wsR4aEQ9vWrbwBC5zIbf+RVVqzOF0FJZWw8xof5frMF0bmhMHgElDQ5VjsR6agpa00jUsWdZZ53BaWg2Jw8NUXIn20KQ4+Pt6K9WAYj00hMtseTaeiNCbGfv+Ca5X/e+SK2RdKgX3EMI6tWjQOznjHE6xGmpHk+IAMOG2UOVCm7HuuNPtY7WBD0ERnYFSLmVdofLGwUjR4f+x4YIBwnrRPbDho96cbQ7nog2pyvET90SquBJtollxsIxc7Cks57s9epVX5Ix4ETp4OLHuBrI+WcW6QzmYJPY6JWc38cqLq8iiNbEP3E5UPaoXreEsczi3pWSxIsNUqL40Psilqy9rQrPiAKbIhTlrcvzn6druRKRJ3PDsNobnnh+Ff863zLv3NoaNn8LURydw59DHeP/Idbrc/xILH4yqV1OUmtD6HM7i0nJmrDM5TWN9PCr5uIQKNC0OOi8PZo4KVx4v+OyYiqtxUtxa0/OhRWxY/xpPTY4nIHs3P/73NC1vn8xTr63h43/cbXfzVVvQ8hzOdf/LVDI7nxkeInkNNaCJfg61MSQ6kJnR51mUksuilFwmpeU4dFSbS+DWgo4xo/lTzGj+1IRvO3dSL1L/vZsNWcVM33qOTv7eqjeJ0Wdf4+HvTdm3CYG6Snk1QmU0bTmYsXQWTV2doikTVagZ8xxOs2N5/OfplVq+q8HcT44qxwsn3Sxdx2rBKcQhOKBlpSw8Z0qycXXMczjNTF2tXgRjfVKm4oScPyBQQpd14BTiAKYsPMskG7XvQILtmOdwgnpNYvTZ1xj/uSmhLtbHgxljoup4huA04gDwwv09leOpq1MkeuFEOHoOpz0Ul5ZX2k68PTlathM24FTiUHV7IdEL50KtOZzvbkyrlNMgDm3bcCpxANMdyBwiW5SSy/qkTHUXJNiMGnM4t6VkKX0hEwJ1PDpSmrjYitOJA8Az43toygMu2I61OZyN1SRGn31NSXYCWDblFtlO2IFTioO/r7dmPOCC/VSdw/ngOwcc7j8qLjU5Pi3b2EmKtH04pThAdQ+4MzYZcWUaew7nC2sOK8NplsYHST/SeuC04gDVm4w0pQdcaDiNNYdz2ZfHlVLsxDBf8TPUE6cWB6jcZKQpPeCCY5g7qVel/JWGOph/2HtOcUDG+pgcoOJnqB9OLw7WPODO0oVIqJjDaelgrm8EY1tKFiPXVlRbrp/WX4ShATi9OED1NunO0IVIqMARczgtZ56AKdFJHJANo1mIA5gusKohMhEI56HqHE57msRUFYakKdGS6OQAmo04QPUQmQiEc2E5h9PcJKYurAnDkOjARlujK9GsxAFMITIRCOfFnjmcIgyNS7MTB7AuEJJm7Ty8lthXaQ84fes5fth7rto5IgyNT7MUB6guEOM/T5cwp5NQtUnMyLXH2ZJZoPy/CEPToKkp243BgbQcpq5OUdJol8YH8ejICAlxOQFVRQBgmL8Xm3NLlcciDI1HsxcHMBXgjFu2VxGIxDBfSY5xEtYnZSpNWiyJ9fFgyYQoEYZGxCXEAUwCMfeTo0pdvzlJRmLh2ufp9w+w8HBF5a18d01Ds/U5VCU4oCWvJfZVPOF7CsvpvGCnVWeXoB0OpOXw34yKku6xHVqIMDQRLmM5WLLsy+NK/j2Ymo3OGBMl2wyNsWpTmtJGHuR7ampcUhzA5Oyase644odICNSxbMotckfSALkFJTy9+rCyBQT4bGy46jMvXA2XFQeo7ocAuQjV5oe953j2qzRFtGN9PPjwD32kjbwKuLQ4gKlj0Lsb0yptMxLDfHnh/p5iRTQhuQUlLPjsmNKHAWBmtD9zJ/WqYRtxnZKLR9n58w72HDzM4X3b2X4sB/x6MDiuHzH9hxA/4jb6dGyB44f9uQYuLw5mquZDAHxwZwgTbguVPW4jsz4pkwWbTleyFl4aHVFD9yYj5dkH2fDmQv757g6u1PbC7r0Yv2ABz93XEx9RCLsRcbCguNQ0TWv27opajIRAHTNHhUs8vRFI1ecza80RpZ0bmKyFZ8b3qGG4bSkXd73P848v4sccA9CCLsN+x8Q7+tItvCO+nuUUXEjn6I6NfLL2f+gNAF2459X3+deYrtofDKsxRByscCAthznrT1S7aBOHh8ne1wHkFpTw5ndplUS4dmsBoJQLPy1hauJbHDO402bAI/ztmd9zd99OeFezCgwUHl3LXyfPYXOOAQIS+eDHvzGklctE7h2CiEMNFJeW890efbXsvKXxQUwaGipj2+tBbkEJa7ZkVvLvgC0p7UZKUj/iyYnPsTkH/EfO4f3FE+np417Lu5Vx4YuZ3PHkBsqIZOrH65g10Ndhv4srIOJQB9buciAiYQ81iYLN1ljZMT54cCLzduXjfvN0Vn34Zwb61SYMJoz6dUyJm0USftzx6pe8PSa4Ib+GyyHiYCOp+nxWbMqo5E2HG23PYzrKdsMKNYlCQqCOOeO629itydIC6M1jH6/krwP9bYtAlBdy+XIh5bjh4dOWdj7idbAHEQc7qUkkZkb7kxDbSRyXmD6jT7edrWZt1cu5ez2NNZPu4/md+bgPXcjmlRPoLJGHJkHEoZ7UJBIJgTrG9W3PPQODXWrLkVtQwt7UHJb/eLqSIxcaFvG5fvJ9xg+fy2E6cM/yz1gyqpPkLTQRIg4NJFWfzw/7L1QzncGUTPVIfBdiurVtlrkSxaXl7D+Zw9Yj2dWsBHBEhKeUzDV/YtjffwJu58Wf3mBSV68GrVmwneZ3xTYxkcGtiQxuzaShoWw5dJFV288rd84VGQWsyDA1K5kZ7c+wXu3pH9nWqS2KugQh1seDaXFBDrKcrpJ59Ea0yK8XUZ1FGJoSEQcH4e/rzbi4UMbFhXIgLYeko9ms2pelZP0tSslVtiDmrUfvrn5079xa81ZFqj6fncey+Tk1r1IdiiXzBwQSf3OAY30uxnzOn7yxbesdTPu6AxSCA9H2Vemk9IloS5+Itjw6MkK5y35xNEcRig1ZxWz4/jRgKkdODPPlls6t6BvmR0igj6o1Hfrsa5zOKiT9wtVaxQAqBKHRtk2GfC6lFpqOPT3xsNnZYKRMv4fv957nOq2JHHobPdqIstiLiEMjovPyYEh0IEOiA/k7pszLQ6fyWJ98qZLTbkVGAWQUQJXir67tdEQF+RDYRkdAG29aeHk4RDhyC0q4XFBK9pUSsq4Uc/xcIVeKyqo5V6uSEKhjWJQ/cT0DtG3xGLPZ9tZsZqxOw33QfL6/V4ShPmj0222emC2Kh4ZHkFtQwrEz+SRn5HHw7NVqd2hFMLA+cyMhUEdkgM7m907NLq4WRagLsxj0DfOjR5fWTe8rcW9LcO/WsDUfdqWQXpRAhxZ1mQ8Gru7/mCVr0oAIfvvHYYRK1nS9kGiFhkjV55N5sZDU81c5k1Nc553ckcyM9qdLWx2d/L2JDvWjc0BLDVgGxRx75xFGz98NhHHfOx/yz+EdawllGihM/ZTZE2fzTQ60++1yvlowggCJfdYLEQeNU1xaztkbQ2VTMvMAKCwuJ0V/tdq5Zusg1seDoaHV6wjMf/wAYR1a0cLbQyMiUBNGylJX8dBdc9hjANqO4rmVL/JA77bVTV5jEfrtq3jxiX/xY44B9wHPsO69RHrXWn8h1IaIg6BtjFc49MY0JizchgGAAPreP5mx8b2I6OiLR1kBF9JT2Pntp3ySdBoD7jYWZgl1IeIgaJ/yC+xa+TJ/W7CBM4ZazvP7NY88O4vHEm4hwPbQhlADIg6Ck1BG/qlktm/dwk9Ju9j90370hrZ0j+vPzd37MuDWIcQN6kkHb/E+OgoRB0EQrCIyKwiCVUQcBEGwioiDIAhWEXEQBMEqIg6CIFhFxEEQBKuIOAiCYBURB0EQrCLiIAiCVUQcBEGwioiDIAhWEXEQBMEqIg6CIFhFxEEQBKuIOAiCYBURB0EQrCLiIAiCVUQcBEGwioiDIAhWEXEQBMEqIg6CIFhFxEEQBKuIOAiCYBURB0EQrCLiIAiCVUQcBEGwioiDIAhWEXEQBMEqIg6CIFhFxEEQBKv8P2dM/jZ4hFu1AAAAAElFTkSuQmCC",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1020.jpg"
}
] |
<image>Find B C.
|
A
| 65,468 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1021.jpg"
}
] |
<image>In rhombus A B C D, m \angle D A B = 2, m \angle A D C and C B = 6. Find m \angle A D B.
|
A
| 65,469 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1022.jpg"
}
] |
<image>Find the variable of x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
|
A
| 65,470 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1023.jpg"
}
] |
<image>In \odot Z, \angle W Z X \cong \angle X Z Y, m \angle V Z U = 4 x, m \angle U Z Y = 2 x + 24, and V Y and W U are diameters. Find m \widehat W U X.
|
D
| 65,471 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1024.jpg"
}
] |
<image>Find the area of the shaded region formed by the circle and regular polygon. Round to the nearest tenth.
|
A
| 65,472 | null |
A
|
[
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fbEuPOUdJStfx/oaL6AxGs68hJMTDkFaPyJdWb6R/UAhxt5W+/ow+TWhbx/yhmZJ6u9DHOjo+/C+dnn539gQordE9//RIvQpsn9zW9Evz442X+HjjJYvUIgTInrviPqatP8/MHVcB6Nu2KmvHBFi2oCIyGqHGW3uJSs7iqUYV2f8v891DeFjHrqXQbfZREtKUEUbvP1Of//S6d0VSIUqaXPGLe2wMieHrnVcBaFTZjaAhvpYtqBjuHtZ56HISSek6i9XSpk55dr7Z1jQM9r9/hPPOLxcsVo+wXxL8Io+r8RkMWxqK0QiujhrWjW1JeRfbvhWUO6xTZzCy82zpDevMT6va5dk1NRAfD2Vto+lbr/Cvn85btCZhfyT4hUm2zkDfBSGmyU5z+jelZS0PC1dVfF2aeZt2BLNUn/9uATU92DWlLZVzwn/G9qtMWXeOElxLTog8JPiFybSfzhN8NRmAVx+tzuinalq4IvOo6ObIozkTzraGxllFwLao4cHuqYGmVU1n7bzG5LUS/qJ0SPALANYfi+ab3cqiYs2qufP9oMLtdmUrcvv8N5MyOX2zZFfrLCzf6uXYM7Ud1SooW1XO3X2NN9aclfAXJU6CX3ApJp1RP4QB4O6sYf3YlpRz1hTwLNty9ybspT2L90GaVXNnz9RA0z7F3+6JYPyqMxL+okRJ8Nu5TK2BPgtOkpKpjHb5bmBzfKuXs3BV5teqVnmq5lxZW1PwAzSp6s7eae2oWVFZTXT+vuuMXRFWohvICPsmwW/nJq09y8nrSutj5JM1GfJY2dwwXKWC7s2VjeD/upxo+kVnLRpVdmPvtEBqeSnhH/TnDUYvl/AXJUOC346t/DuKhfuVbQL9a3rwzYCmFq6oZPXImcWr1RvZWYqrdRZWAx839k5tRx1vVwCWHLzJiGWh6A0S/sK8JPjt1NmoNF5bofT1PVwcWDcmAFfHstXX/6duzb1NG8Jbw7DO/NT3cWXvtEDqVVLC/4dDkQyT8BdmJsFvh9Kz9fRdeJLbWXoAFg72pUlVdwtXVfK83B1pV7cCYL3BD1DX25W909pR30cJ/xWHIxm85DQ6CX9hJhL8dmj8yjOE3lQWRxvXvhb9A6tauKLS07OFMrrnekKm6f+BNart5cLeqe1oWNkNgNVHohi06JSEvzALCX47s+TgTX44FAkoa8fM6le2+/r/VNqbsBdHLS8X9k4LpHEV5dPYuqPRDAgKQauX8BfFI8FvR07fTOWN1WcB8HRzYN2Yljg72NePQJs65U1LJVhzuydXDU8X9kwNpGlOK+6nY7fotzCEbJ3BwpUJW2Zf73o7lpqpo8+CENKz9ahUsHiIn6mHbE/UKhXdcq76D1xKItWKhnXq9Hq+D1pJ7wHjeb73aKa+8zmnQ89T3dOZPdMCaV5NmV/x64lb9Fkg4S+KToLfToxdcYbz0WkATOpch5dbV7FwRZaTO4s3W2dg97kEC1dzx+tvfsJnX8zj0N8nOHYilNXrNtF7wHiOnQilanlndk8NxK+GEv4bQ2LoPf8kWRL+oggk+O3A/H3XWX0kCoBH63sy/eXGFq7Isro190atsswm7Pdz9twlNv6+E4Cpk0ayZP502rTy43ZaOgsXrwagSnkndk8JxL+msmLq76dieem7E2RqJfzFw5HgL+OOR6Tw5rpzgDKccc1of5zsrK//T5XKORFYV9lG0lr6/GFnLwLQsEEdpk4aRY9uT/Phu68D8HdwiOk4Hw8ndk1pa1oue0toHL2+O0GGVl/6RQubZd8JUMYlZ+jouyCETK0BlQp+GN7CNCvU3uWu1nktPoMzUZYf1lnJ2wuA22np6PRKiN+4GQ2Aq6tL3mPLObFzSiCtczaO3xYWxwvzTpCeLeEvCse2t1YS92U0wogfQrkcmw7AW93r8Zy/TwHPsh89/Xz496bLgLJGf+6N08JYtXYji5etA2BZ0FfUqlktz+Nnzl4k+PjpB56jUYO6PP5oa9Of27X1x9nZiejoWDp0G0izJg3YtfcvAJ5+MvCe53u7O7JzSlu6zTrK0Wsp7Dwbz/PzjrNxQmvcy9jKqsL8ZLP1MmrOLmVjD4CnGlVk99RA0y5UAgxGI1Wm7iXudjZdmnmz4822hXpeUlIKj3fqQ1JSCgB/7lxLg/q18xzz+f++Z9785Q88z4C+zzPzy/fyfG/X3r8YNe5dsrKyTd/z823Muh+/wdOzfP71pOvoPucoR64oG+i0b+zF72+0LnPLagvzkiv+MujvK8m89bOyibePhxOrR/tL6P+DWqWiW3NvVh2J4s+LiaRl6Qt1pfzVrCBT6N9PZNQtADQaNc7Ozvke4+Xlec/3Ond4nEN7fuLg4WNERcfQpFF9OnZ4DAfN/evydHNg++S29JhzjMPhSey7kMAzc4+x+Y3WeNj4Xsmi5MhPRhmTkKY1TfBRq1SsGOlPDU+Xgp9oh3r4VWLVkSiycoZ1Ph/w4FbY+YvhLF/1S4HnvRmpBP+Lz3Vl3qxPHqqmqlV96N2rx0M9p4KrA9smt+GZucc4eCmJPy8m0nPuMf6Y2IbyEv4iH3JztwwxGmHo0tNci88A4P1n6tMtZw16ca/uvpVMwzoLM7rn48/moNcbUKsf/LbJveL/ZwuoJJV3cWDLxDY81agiAAcvJdF99jGSM6xngpqwHhL8ZchX26/w+yll/ZlOTb34+PkGFq7IulX2cKJ17dxhkQ9et2f7zj/Zf+AInp7lefON4fc9zmAwEB2tnKtBvdILflCW1/5jYhvaN1ZGCB0OT6Lb7KMkpUv4i7wk+MuIA5cSef9XZSx4tQrOrBzlb1p7Xtxfz5zNWa7EZZhmNv+TVqvlk//OBWDapFF4Vsj/RitAbFwCWp0StPVLOfgByjlr2PxGazo1VcL/yJVkus4KJjFdW+q1COslwV8GxKZm03+hsmSvRq1i1Sh/qpbP/6aiyCt3mWa4/yzeoKXruHrtBo0a1mXIqy8/8HyRUTGmr11dXZg5ZxFDR01j5Lh3mL9oFecvhpun8Adwd9aw6fXWdGmmtPmOXkuhy9dHSUiT8BcKCX4bZzAaGbzkNDeTMgH49wsN6dDEy8JV2Y52dSvg5e4I5N/nj41LYM68pQB88v6kB46wgTv9fYCX+r3GzDmL2bH7IFu27ePTz7+h23PD2LBphxn/Bvlzc9Kw8fVWpns8xyNS6Px1MHG3swt4prAHEvw27vM/wtmWE1g9fCvxbs96Fq7ItmjUKro1V676911IuGf265cz5pN6O43OHR6nY/tHCzxfZOSdK/64+ESqV6tC5w6PU6WK8hparZYJkz/mr8PHzfi3yJ+ro4bfJrQ2LUp38noqnb8+SmyqhL+9k+C3YXvOJ/BJzuzTmhVd+HFkC9MoFVF4ucs3ZGoN7D1/Z7XO0LALrP1pMw4aDR+/P7FQ57r7iv+tKWM4enADPy6ZyYlDm3j9tSEAGI1G5getMuPf4P5cHNX8Or4Vz7ZQ7mWcupFKp6+DuZUi4W/PJPhtVHRKFgMXnUJvMOKoUbFmdACVyjlZuiyb1N3Xm9zfl3f3+T/8dBYGg4FhQ16hYYM6hTpXz+7t+eCd1/nys7eYNGFYnsfee2sczZooI6127f2LxMRks9RfEGcHNb+Ma8kLAZUBCL15m04zg4lOySqV1xfWR4LfBukNRgYGnSI6WXnjfv5SY55o6GnZomxY1fLOtKqVd7XOjZt38XfwSSpWrMDUiSMLfa52bQMYP2YQQwa9hCqfT1/duz4NKFf9ETcizVB94Tg5qFk/NoCXWin7MJyJuk3HGcFEJUv42yOZ1meDPtl0mT05LYkXAioztWtdyxZUBvT0q8TxiBQuxaRzMSadWXOXAOBVsQLLVvyc59hjx0NNXy9f9Qt1a9dk+JBXCvU6tWtVN30dGRlDQItmZqi+cJwc1KwdE8CAoBB+Pn6Lc9FpdJgRzO6pbWV2t52R4Lcx28Li+PwPZUhgXW9Xlg33Q9r6xdfDrxL/zfn/uiU0luTUVAAuh0cwfeaC+z4vaMlaNBp1oYPfwUGT79elxVGjYs2YAAYtOsW6o9FcuJUT/lMCqeUl4W8vJPhtyI3ETAYvOY3BaDRdvVV0c7R0WWXCo/U9qejmSGK6lq2hcVStXAkV+f9GTUtPJyVFWcPfo5x7npUzJ079lPT0DPxbNGXi+KH3PDcuPtH0de5In9LmoFaZJvitPhLFpZh0Os4MZvfUQGpL+NsFCX4boTMYGRB0yjQU76tXGtOuXgULV1V2OKhVdGnmzfpj0ew9n0j8+iBcHfO/Il+8bB0ffjoLgD82LMmzJs++P/8mNi6B2LiEfIP/8JGTpq+rV7PcvscOahU/jmiBRq1ixeFILsem02HGEXZPDaSubNZT5snNXRvx3q8XOXBJuVp8pU0VJnYq3CgTUXi5490ztHr2XUgs4Oj8Va6sTJg6GXKGmNj4PI9djbjJnn2HAWjT2o9K3hWLUW3xadQqlg3zY+hjyn2HK3EZdJgRzJW4DIvWJUqeBL8N2BQSy4ztVwBoWNmNRUP8LFxR2dTdt9KdYZ2ni7YX74vPdQFAq9MxdNS/CDl9lrT0DA4cOsrAIZPQapVlEwb1e9EsNReXRq1iyTA/RjxRA1C2ouww44hp5zZRNknwW7lr8RkMW3Yao1GZjLNuTAAVXKVDVxKqezoTUFNZrbOom7APHvAS9erWAiDk9Fl6vjiCRn6d6DvoDa5G3ASgS8cn6N2ru3mKNgO1SkXQEF9GPVkTgIiETDrMCOZijIR/WSXBb8WydQb6LgwxLa41u19TWtW+/8qQovh6+Crtngu30gp11evomPeXcIUKHmxYN58uHZ+4Z91+Z2cnevfqweL5X+DoaF035dUqFQsH+zL2aeWX1o3ETDrMOHLfFUuFbZM9d63Y5LXnmLPrGgAD21Vj5Sh/C1dU9u2/mEj7r44AMG9AMyZ0LPrSylHRMZwMOUtiUjING9ShpX9znJysK/D/yWiEN9ac5ds9EYCyxPeuKYE0q+Zu4cqEOUnwW6mfj9+iz4KTGI3QtKo7we8/JhtolwKt3ojPlN0kZ+h4toUPv7/R2tIllTqjUbnomLtbueioUt6JXVMC8a1ezsKVCXORVo8VuhybzsgfQjEaleV1149tKaFfShw1KtM69nsvJJCpNVi4otKnUiltxTe7KCPHbqVk02lmMKdvplq4MmEuEvxWJlNroO+CENNeqd8ObIZfDbnSKk25q3WmZenZf7FowzptnUoFX/dtyrRudQGISc2m89dHCbkh4V8WSPBbmTfXneN4RAoAw5+owbDHa1i4IvvT465hnVsL2Iu3rPvqlSa83UPZ4yE2NZvOM4M5kfPzKWyXBL8VWX0kivn7rgPQooYH8waU3gJe4o6aFV3wq567CXvRhnWWJV++3Jj3nqkPQHyali6zjnLsmoS/LZPgtxLnotMY82MYoGyYvW5sAG5O0te3lNxZvOei07gaLzNZ/9urER89p+wlkJCmpeusowRfLZ39BIT5SfBbgfRsPX0XhHA7S9n2b8FgX5pWleFzlpTb5we56s/17xca8u8XGgKQmK6l2+yj/H1Fwt8WSfBbgddXnzWNmBj7dC0Gtqtm4YrEEw088XBRJmdtleA3+ei5BvynVyMAktJ1dJt1lEPhSZYtSjw0CX4LW/bXTZYeVKbyt6pdntn9mlq4IgHKpiWdm3oBsPtcPFk6+xvWeT/vP1OfL19uDEBKpo7us49x8FKSZYsSD0WC34JCb95mwqqzAFRwdWDdmABcHOWfxFr09FM2KL+dpTetjCoUb/eox1evNAEgNVNHjzlH7Xboqy2SlLGQ21l6+iw4SXq20tdfPNSPhpXdLFyVuFuePn8RV+ssy6Z1q8vXfZuiUik/z8/MPcbenC1BhXWT4LeQ11aEcS5nAayJnerQu7XlNuUQ+avt5WJapqCoq3WWdW92qcPsfkr4p2Xpefab4+w6F1/wE4VFSfBbwML9N1j5dxQA7epV4KtXGlu4InE/ucM6wyJvE5GQaeFqrNPETnX4pn8zVCplhNrz35xgxxkJf2smwV/KTkSkMGmt0tf3cndk7ZgAnBzkn8Fa3d3ukdE99zehY22+G9gclUrZweyFb4+zTT4lWS1JnFKUkqmj78IQMrUGVCpYNqyF7G9q5Z5qWNG0QN4WO1++oSCvta/Fgld9UatUZGoN9PruBH+clv9n1kiCvxSN/CGUSzm7Gk3rVo/nA3wsXJEoiJODmk5NldU6d51LIFuGdT7Q6KdqEjTkTvi//P1JNoVI+FsbCf5S8s3uCH46dguAJxp68t+cSTDC+uX2+VMzdRy8nGTZYmzAiCdqsGSYHxq1iiydgVcWnOS3kzGWLkvcRYK/FARfTWbaT+cB8PFwYs3oABw1KgtXJQpLlm94eEMfq86ynPDP1hnos+Akvxy/ZemyRA4J/hKWmK6l74IQsnUG1CoVP45oQc2KLpYuSzyEut6upq0H5QZv4b36aHV+HNECB7UKrd5I/6AQ1h+LtnRZAgn+EmU0wrCloabVHd/tWY/uvpUKeJawRrmbsIdGpnIjUYZ1FtaAnL2ic8N/YNAp1gZL+FuaBH8JmrnjKhtDlN5mxyZeppUNhe3JXb7BaJTJXA+rb9uqrM5pb+oMRl5dfIpVR6IsXZZdk+AvIX9dTuK9Xy8AULWCM6tG+6NRS1/fVj3VqCLupmGdEvwP65U2VUxzVnQGI0OWnObHw5GWLstuSfCXgLjb2fRbGIJWb0SjVrFypD9VyztbuixRDC6Oajo2UVbr3HU2Hq3eaOGKbM9LraqwfqwS/nqDkWFLQ1n2101Ll2WXJPjNzGA0MnjxaVMf+OPnG9ApZ3lfYdty+/zJGTr+uiwrURbFCwGV+fm1ljg7qDEYjYz8IYzFB25Yuiy7I8FvZl9suWLqAXdr7s37OXuVCtuX2+cHGd1THM/5+/Dr+Fa4OCrhP+bHMyzcL+FfmiT4zWjv+QQ+3ngJgBqeLqwY6Y9aJX39sqK+jyuNqyjDOqXPXzw9/SqxYXwrXB01GIxGXlsZxvf7rlu6LLshwW8mt1KyGbjoFHqDEQe1ijVj/PHxcLJ0WcLMcmfxnrqZSmRSloWrsW3dfSux8fVWuDlpMBphwqozzNsTYemy7IIEvxnoDUYGLgohKlkJgv++1IgnG1a0cFWiJOTO4pVhnebRpZk3m15vjbuzEv4T15xlzq5rli6rzJPgN4NPf7/M7nPKzkPP+fvwr271LFyRKCntG1fEzUkZ1il9fvPo1NSLzW+0plxO+E9ee46vd1y1dFllmgR/Me04E89/NocDUMfblR+Gt0Da+mWXq6OG9o2VT3M7zsahM8iwTnNo39iLPya2wcPFAYCp68/z1bYrFq6q7JLgL4abSZm8uvgUBqMRJwc1a8cE4OXuaOmyRAnLHd2TlK7jcHiSZYspQ55qVJEtE9tQPif83/r5Al9ulfAvCRL8RaQzGBkQdIqY1GwA/te7MY/Uq2DhqkRpkNU6S84TDT3ZOrkNFVyV8H/3lwv8Z/NlC1dV9kjwF9EHGy7y50VlEs/LraswsVMdC1ckSkujym40rOwGSJ+/JDxW35Ptk9vi6aaE/4e/XeLfmyT8zUmCvwg2n47lfzn9xwY+biwZ6id9fTuTO4v3xPUUolNkWKe5tatXgR1vBlLRTWmdfrLpEh/9dsnCVZUdEvwPKSIhk6FLTmM0grODmnVjA0wfS4X96HnXsM5tYfEWrqZsalunPDuntDXdN/ts82Xe+/WihasqGyT4H0K2zkC/hSHEp2kBmNWvKa1rl7dwVcISOjTxwsVRefvIJuwlp3Xt8uyaEkilcspkyC+2hPP2zxcsXJXtk+B/CG//csE0iqN/YDXGta9l2YKExbg5aWjfWFl8b8eZePQyrLPEtKzlwa4pbU0z4f+37QrT1p+3cFW2TYK/kH49ccs0o7BJVXcWDm5u4YqEpeW2exLStPx9JdnC1ZRt/jU92D0lkMo54T9zx1XeXHcOo/y+LRIJ/kIIj81gxA+hGI3KBJ71YwNME02E/epx1zaaMrqn5PnVKMeeaYFUraDsbTF75zUmrT0r4V8EEvwFyNIZ6LvwJEnpOgDmDWxGixoeFq5KWIMmVd2p7+MKSJ+/tDSvVo49UwOplhP+3+yO4PXVEv4PS4K/AFPWnefYtRQAhj5WnRFP1LBwRcKa9PBVZvEej0g1TeYTJatpVXf2TgukhqcLAN/tjWDcyjMYJP0LTYL/AdYGR/PdXmWZWN/q5fh2oPT1RV65fX6D0cg2Wa2z1DSuooR/zYpK+C/Yf52xP0r4F5YE/31cuJXG6B/DACjnrGH92JamzbaFyNWxiRfODsrbSPr8pathZTf2TguktpcS/osO3GDU8jAJ/0KQ4M9HhlZPnwUhpGYqff35r/rSrJq7hasS1sjdWcPTOat1bpdhnaWugY8be6e1o663cq9l6cGbDF8WKv8OBZDgz8cbq89x6kYqAGOersmgR6pZuCJhzXJH98Tdzib4qgzrLG31Krmyd1og9Sop4b/8UCRDl56W8H8ACf5/WH4oksUHlI2fW9byYE6/ZhauSFi7PJuwS5/fIup4u7J3Wjsa+CiL5638O4pXF5+W/RLuQ4L/LmGRtxm/6gwA5V0cWDe2pWlavhD306yaO3W8c4d1SvBbSm0vF/ZOC6RRzsqpa4KjGBh0Cq1ewv+fJNVypGXp6bsghLQsPQCLhvqafoCEKEju6J6jV1OIuy3DOi2lZkUX9k5rR5Oqyj259ceiGRAUIuH/DxL8OV5beYYzUbcBeL1jbfq0qWrhioQtye3zK8M6ZbVOS6ru6cyeqYGmARk/H79F3wUnydYZLFyZ9ZDgB4L+vMGKw5EABNatwIw+TSxckbA1nZt545Q7rFP6/BZXrYIze6a2w7d6OQA2nIzhlQUnyZLwByT4CbmRyqQ15wCo6ObI2jEBpnHZQhRWOWcNTzb0BGBbWJyMJbcCVco7sXtqIH41lPDfFBJL7+8l/MHOgz8lU0ef+SfJ0OpRqWDpMD/TkDAhHlbu6J7Y1GzTMh/Csip7OLF7SiD+NZX1tTafjqXXtyfI1Np3+Nt18I9eHsbFmHQApnSpy4stK1u4ImHL7l6tU0b3WA8fD+XKv1XOpklbw+J48dvjZGj1Fq7Mcuw2+L/dE8G6o9EAPN7Aky9ebmzhioSt86tRjlo5ywfI8g3WxdvdkZ1vtqVNHSX8t5+J5/lvTpCebZ/hb5fBf/RaClNzdvCpVM6JNaMDcNTIbumi+HKv+o9cTTZt0Smsg5e7IzvebEtg3QoA7DoXz3PfHDcN4bYndhf8Sek6+ubc3VerVCwf0cJ0lSZEceWO59cbjOw4I8M6rU1FN0e2T27LI/WU8N9zPoFn5h7jtp2Fv10Fv9EIw5ed5kpcBgDv9KxneqMKYQ6dm3mbPj3K5izWydPNgW2T2/JYfU8A9l9MpOecY6ZFGe2BXQX/rJ1X2XAyBoD2jb349wsNLVyRKGvKuzjwRENltc5tYXGyM5SVquDqwLbJbXgiZwjugUuJ9JhzjBQ7CX+7Cf5D4Um888sFQBnfu3q0Pw5q6esL88vt899KyeZ4hAzrtFYeLg5sndSWpxspv6j/upxE99nHSM4o++FvF8Efn6al30JlvQ6NWsXKUf6mPTuFMLe724cyi9e6lXPW8MfENnRo4gXA4fAkus46atpju6wq88FvMBoZsuQ01xMyAfjw2QZ0bupt4apEWdaihodpP1jp81s/d2cNm99oTaemSvgHX02my6xgEsrwqKwyH/zTt17hj9PKm69rc28+fK6+hSsSZZ1KBT1yrvr/Dk8mMb3sBkhZ4eak4fc3WtO1uXJReOxaCl1mHS2zQ3LLdPDvv5jIR79dApQV+1aM9Eetkr6+KHm5fX6dDOu0Ga6OGn6b0IruOf92JyJS6DwzuEwus11mgz8mNZsBQSHoDEYc1CpWjw6gsoeTpcsSdqJrc2/T4AHp89sOV0cNG8a34pkWyrpLITdS6TTzKDGpZSv8y2TwG4xGBi06RWRSFgCf9WpkunMvRGmo4OrA4w08AWX5BhnWaTtcHNX8Mq4lz/kr4X/6ZiqdZgZzK6XshH+ZDP7Pfg9n51nl4/UzLXx4u3s9C1ck7FFunz8qOYuQG6kWrkY8DGcHNT+/1tK0cGNY5G06zjxCVHKWhSszjzIX/DvPxvPZ5suAsgfn8hEtkLa+sIS7N2GX0T22x8lBzfqxLXm5dRUAzkal0XFmsKmTYMvKVPBHJmXx6uJT6A1GHDUq1owJwNvd0dJlCTsVUNPDNF9EVuu0TY4aFWtGB/BKGyX8z0en0WHGEW4kZlq4suIpM8GvMxgZuOiUqQ83vXcT01ocQljC3cM6/7qcZBczQssiR40yOKRfoLIP98WYdDrODDbNDbJFZSb4P/rtEvsuJADQq2VlJneuY+GKhJBhnWWFg1rFipH+DGxXDYBLMel0mHmEa/EZFq6saMpE8G8JjWP61isA1PdxZekw6esL6yDDOssOB7WyjPvgR6sDEB6bQYcZwVy1wfB3sHQBxXU9IZPBi09hMBpxdlCzdkxLPN2s56+l0+sJWrKGnbsPkp2tpXGjegx7tTct/JpYujRRCiq6OfJI/QocvJRkGtYpFyXWp7DvU41axdJhfmjUKpb9dZOr8Ur4754SSH0f29mvW2VMv2KzI4y1eiPtvzrCofAkAOYNaMaEjrUtW9Q/vDbxQzb+vjPP98q5u7F6+RzatPKzUFWiNP33j3A+2HARgJCPHjdt/C2sx8O+Tw1GI2N+PMPiAzcAqOXlwu4pgTSs7FYq9RaXTbd63vnlgin0+wVWtbrQP3vukumHaeqkkSyZP502rfy4nZbOwsWrLVydKC2yCbt1K8r7VK1SsXBwc8Y8XRNQOg8dZgRz4VZaqdVdHDYb/L+djGHWzqsANK7izsLBvpYtKB9hZ5WrvIYN6jB10ih6dHuaD999HYC/g0MsWZooRa1rl6dKeWW5EOnzW5+ivk/VKhXzB/kyrn0tAG4mZdJxZjDnoq0//K2nGf4QrsRlMHxZKEajsrbGurEBlHd58F8l7MxFjp44XejX6N2rB+Xc835sS0pKYeGSNZwKPUdsXAK1alTjkcCWDB7YCxeXe9f3r+StLPN6Oy0dnV6Pg0bDjZvRALi6yj6/tmb7zj+ZPnMB9erWYtH3XxT6eSoVdPetxPJDkRy8lEhKpq7An9eCJCYms+an3wkNu8Dl8AiqVauMb7OGjB01EI9y7sU6t7VatXYji5etA2BZ0FfUqlkt3+NK832qUsG3A5ujUauYtyeCyKQsOs5Uev7Nqlnvv4PNBX+WzkDfBSdNS93OHdCUgEL0TPcfPMJnX8wr9Ot07vB4nuCPuB5Jz14jSExMNn3vdOh5/ti2l+WrfmHbxmW4ueW9udOurT/Ozk5ER8fSodtAmjVpwK69fwHw9JOBha5FWIcduw9y9vzlIj23p58Pyw9FotUb2XU2npdaVSlyHaFhFxjx2tumcAI4FXqObTv2s2HTTpbM/5LGjcrWMiVJSSn8Z/q3JCUpO5plZ+e/XLIl3qcqFczt3wyNWsWcXdeITs6i48wj7JoSiG/1ckX9K5com2v1TFt/nqPXlH/8wY9WZ9STNQv1PEcHB9zcXB/4390cNJo8f37/45mmH6batarT6/mueHt5AnA5PIL/Tv/untd0c3Nl0fdf4OzsRPiVCDZv3UNmZhZ+vo15d9q4h/2rCwu6HB7Bpj92Ffn5XZt7o1HnbsJe9HaPXm9gzIT3TKHfwq8JfV7uSbu2AQCEX4ng2ZdG5vmlUBZ8NSvIFPoPYqn3qUoFs/s1ZUrXuoCy7WbHmcGcvmmdazTZ1KiedUej6bdQ6bk1r1aOI+89iruzpoBnFd64SR/x26YdPNujI0HffW76/qY/djP29feVY0YP4v23x6NWq0lITOLl/uO5cPEKKpWKDevmE9jG/57zRkfHcvDwMaKiY2jSqD4dOzx2zy8WYV2MRiNJSSnExMWzZ99hgpasJSo6BkC5Ityy4qHP+fiXf3MoPIlaXi5EfNm+SHVt3LyL1974AICJ44fyzrTXTI99H7TS9Kl2/NhX+eDtCUV6DWtz/mI4XZ4ZjF5vMH3vz51raVA/72AOa3mfvvXzBb7apswrqlTOiZ1T2haqK1GabOaK/2JMOqOXhwHKVmnrXwswa+hv2baP3zbtwKOcO//5eEqex1av2wiAt5cnb04cgVqt/G/zqujJpAnDACUodu35K99zV63qQ+9ePXj9tSF07fykhL4NiLgeiW+bHnTsPohPP//GFPrFkbt8w/WETEJv3i7SOYKPnQLAxcXZ9LOXa9SwvpT3UFoLp0PPF71QK/PxZ3PQ6w2m9939WMv79H+9G/NOD6XVFnc7m84zgzkRUfCnldJkE8GfodXTZ/5JUjKVtU6+H9Sc5tXM1ztLTEzmnQ//B8B7b4+nSpVKeR7PfRN17vj4PTd8n3+2M5W8lbX+T4WeM1tNouwxxybsMTHK8xo2qHPPjUdHR0fTz258QlLRirQy23f+yf4DR/D0LM+bbwx/4LHW9D794uXGfPBsAwDi07R0mXXU1KK2BjZxc3fSmnOm9cxHPVnTNGXaXD78dBaxcQm0ae3HkIEv5XksKjrG9CZq1rThPc910GhoUL8OcfGJnDpddq6y7F2tmtU4c3xbnu/1HzKpWKHRpk55fDyciE3NZktoLNO61X3oc3Tr8hRVqvhQt3aNex4zGAxERt4CoEpl7yLXaS20Wi2f/HcuANMmjcL4gN1srPF9+tmLDdGo4d+bLpOQpqXrrGC2TWpLu3oVSuX1H8Tqr/hXHI4k6E9ldlxATQ/mDmhq1vOfOXuRXzduB+DdaeNQ/WM+/YWLV0xf32/4WLWqyrrrCYlJefqQwnap1Wo8Pcvn+S+/oYAPdU6VyrSf64FLSdzO0j/0OXr36sGnH05mxNA+9zx27vxl0tKVdWOaNm5QrFqtQdDSdVy9doNGDesy5NWXH3istb5PP3m+IZ++qPwiSkrX0W32UQ7nTDq1JKsO/rNRaby28gwAHi4OrBsbgKujefvjs75ZitFopIVfEx5/tPU9j+e+kQBcXfIf01vR885v8Kws29+kQZSc3Fm82ToDu86aZ7VOrVbL38EnGT72bUAZpTJmZH+znNtSYuMSmDNvKQCfvD+pwH67Nb9PP3y2AZ+/1AiA5Awd3Wcf46/LSaX2+vmx2uBPy9LTZ8FJ0nKuioIG+9K4inknRJy/GM4f2/YC8Nqogfkek5FxZ81tR6f7dMbu+pCQlVV29uUU5tfd1xu1yjyrder0epq16kaD5h15qd84rt+Iomnj+qz9cS5VKlcq+ARW7MsZ80m9nUbnDo/Tsf2jBR5v7e/Td3vWZ3rvxgCkZOroMecYBy4llmoNd7Pa4B+/6gxhkcrIh/Edaps2QTCn2fOWYTQaqV6tCs8/2znfYzIz77oyuE+L8e72kFYnm22I+6tUzom2dcsDxV+3x2g0kpycik5/p2V0Oy2di5euFuu8lhYadoG1P23GQaPh4/cnFuo5tvA+fat7PWb0UVb7TM3U0XPOMdMeIqXNKoN/8YEbLD8UCSg3xL7ua/4ljKOjY9m0WZmQM3hgr/t+lHRwuPP9f/b/cxkNd37SHB1s4n65sKDc0T3X4jM4G1X0dV0cNBo+eHsCo4b348nH26JSqbhxM5opb/+XZSt+Nle5pe7DT2dhMBgYNuQVGjYo3IZKtvI+ndq1LrP6NkWlgttZep795jh7zpd++Ftd8J+6kcobq5WRE55uDqwb0xJnB/OX+fuW3RgMyg2e7l2fvu9xzs53bujdbxxxtvbO9PHi3gAUZV/e1TqLvgm7SqVi/NhX+fTDyaxb8Q2bf12Mk5Oyx/RXs4LyXgXbiI2bd/F38EkqVqzA1IkjC/08W3qfTu5Shzn9mqFSKS3t5745zk4z3e8pLKsK/tRMHX0XhpCh1aNSwZKhfiW2ucHGnOn3NapXoWnj+vc9ztnJyfS13pD/KIzs7Dv9Qmdnp3yPESJXYN0KVCpn/tU6W/o3Y8QQZbRPYmIyIafPmu3cpWXW3CUAeFWswLIVPzPn22Wm//b9ecR03PJVv7B0+U+mP9va+/SNTrWZN0AJ//RsPS/MO8H2Utya06r6EmN+PMP5nCVNJ3euU6yFrB4kMuoWx46HAtCl4xMPPLbyXeOhExKS8z0mJlb5qObm5lrg7EIhNGoV3Zp7s+pIFPsvJJKWpS/ULHSDwcD2nQfQ6nT4NW9Evbq17jnm7h2jIqOKP9u4tCWnKvN1LodHMH3mgvseF7RkLRqNmuFDXgFs8306vkNtNGoV41eeJUOr58Vvj/Pr+FZ5PhGWFMv/7XN8v+86a4KjAHi0vifTe5fc1oS/b9ljmgzSudPjDzy2WZMGph+ShMSkfI8JvxJhOlaIwshdviFLZyh0jzcl5TYjXnubsa+/z9Yd+/M9xqeSl+lrdzfb2QowV9XKlahWtXK+/5Uvf2e2vkc5d6pXu3NhaKvv07FP12LB4OaoVSoytQZ6fXuCzaeL3v4rLKsI/mPXUnhzrdLX93Z3ZO2YABw1Jbcx6eEjJ0xfPxLY8oHHurm5UidnlmTup4S7JSQmcTNntqS/n3knl4myq7tvJdOwzsKO7qlQwcN0UzL6Vv7hEBV95/v3m8hkzf7YsIRjf/2W73//mjw6z3F/7//F9Gdbfp+OerImi4b4olapyNIZ6P39STaGlOynNYsHf1K6jr4LT5KlM6BSwQ8jWlDbq2Q3KQkNuwBAlcqVCrVpReuWyu5eG3/fya2YvG/Sud/+YLpJ7N9CNlAXhVPZw4nWtZUVG7eGFe4KT6VSUaOGMqz59z/25Bm7nmvVWmWhMkdHR2rVMu/SJtbOlt+nw5+oYdrEPUtnoM+CEDacLLnwt2jwG40wcnko4bHKrLu3u9fj2RY+JfqaSUkpprXK69e7t0eanyGDlPV7tDodk6Z9xuXwCG7dimPe/OWmYXN1atfghWe7lEzRokzq6af8rIfHZpjubRVkUL8XAGVtmn5DJhJ87BTp6RmEX4lgwuSP+Tv4pOm4fy5UVtbZ+vt0yGPV+WF4CzRqFdk5G079fPxWibyWRW/uztl1jV9y/mJPN6rIZ70alfhrhp69YPq6Qf3CjREObONP397PsO7nP9h/4AhPdemX53GVSsXX09+X7RTFQ+nhV4nPNis7em0Ni6NJ1YI/fb46oBdLlv9EVHQMR4+d5sU+Y+85xqeSFxPHDzV7vdauLLxPBz1SDY1axeDFp9DqjfRfGMLKUf70bWveCawWu+I/HJ7E278oIVzZw4nVowNwUJdcXz/X3bMa/7mRw4NM/8/bDHu19z2jAcq5u/Hph5N57JFW5ipRWCmNRvm3d3R0NMv5HqlXAS935VwP0+fftmkZTz7WNt/H2z/1CDv/+JGqVUv2k7OlOTrmf81aFt6n/QOrsmq0P44aFTqDkUGLTrEm2Lw7qllkB66ENC2t/3OIa/EZqFUqtk5qQ9fmtrGMbFR0DKFnLpKQkESN6lVo4duEChWsa3cdYTv6B4WwNjgaF0c18bM64eZU+EUIExOTCTt7kes3oqhTuwbNmzbE07N8CVZrO8rC+/Tn47cYEBSCVm9Eo1bxw/AWDHrEPDfsSz34jUZ4ft5x05Clj55rwL9fuHf9bCHswQ+HIhm29DQAm99ozTMlfI9L2JYNJ2PotzCEbJ0BjVrFkqF+DHms+DftS73V879tV0yh37mpNx89Zz1jaoUobd19vcldWqa4i7aJsqdXy8r8NFZZtkZvMDJ8WShLD94s9nlLNfj/vJjIBxsuAlCtgjMrR/mjKYW+vhDWqmp5Z1rVUtoz5ly+QZQdzwf48PM4JfwNRiOjloex6MCNYp2z1II/NjWbAUGn0BmUftXq0f5UKS/r2giRO4v3Ukw6F2PSLVyNsEbPtvBhw4RWuDgq4T/mxzAW7L9e5POVSvAbjEZeXXyKm0nKhJNPX2hI+8ZeBTxLCPuQZxN2afeI++jhW4nfJrTG1VGD0QjjVp7hu70RRTpXqYzj//emy6aV5xpVduOVNlW4JFc2QgCYVuoE+Gb3tTy/CIS4W/1Krszq14TXVpzBaIQJq86SlqXnX93rPdR5SnxUz+5zCXSddRSDsdRHjQohhF2Y1bcpk7sUbkIqlHCrJyo5i4GLQiT0hRCiBL257hwzd1wt9PEl2uq5EpfBB8/KcE0hhChpKiA+TYu3e8Ezyy0yc1cIIYTlWHxZZiGEEKVLgl8IIeyMBL8QQtgZCX4hhLAzEvxCCGFnJPiFEMLOSPALIYSdkeAXQgg7I8EvhBB2RoJfCCHsjAS/EELYGQl+IYSwMxL8QghhZyT4hRDCzkjwCyGEnZHgF0IIOyPBL4QQdkaCXwgh7IwEvxBC2BkJfiGEsDP/BzRWLa8/QKDMAAAAAElFTkSuQmCC",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1025.jpg"
}
] |
<image>Find the measure of \angle 3.
|
C
| 65,473 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1026.jpg"
}
] |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
A
| 65,474 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1027.jpg"
}
] |
<image>Find x.
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B
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[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1028.jpg"
}
] |
<image>Find the area of the shaded region.
|
D
| 65,476 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1029.jpg"
}
] |
<image>If P R \parallel K L, K N = 9, L N = 16, P M = 2 K P, find M N.
|
B
| 65,477 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1030.jpg"
}
] |
<image>Use parallelogram A B C D to find m \angle C D F.
|
B
| 65,478 | null |
B
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1031.jpg"
}
] |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
C
| 65,479 | null |
C
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1032.jpg"
}
] |
<image>\triangle K L N and \triangle L M N are isosceles and m \angle J K N = 130. Find the measure of \angle J.
|
B
| 65,480 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1033.jpg"
}
] |
<image>In the figure, m \angle 3 = 110 and m \angle 12 = 55. Find the measure of \angle 1.
|
B
| 65,481 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1034.jpg"
}
] |
<image>Express the ratio of \sin N as a decimal to the nearest hundredth.
|
C
| 65,482 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1035.jpg"
}
] |
<image>Find x.
|
A
| 65,483 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1036.jpg"
}
] |
<image>Find m \angle 4.
|
C
| 65,484 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1037.jpg"
}
] |
<image>Find Q P.
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B
| 65,485 | null |
B
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[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1038.jpg"
}
] |
<image>Use parallelogram J K L M to find m \angle J M L.
|
C
| 65,486 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1039.jpg"
}
] |
<image>Find x if \triangle J L M \sim \triangle Q S T.
|
A
| 65,487 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1040.jpg"
}
] |
<image>Find the measure of \angle 3 if m \angle 4 = m \angle 5.
|
A
| 65,488 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1041.jpg"
}
] |
<image>What is the area of \parallelogram A B C D?
|
C
| 65,489 | null |
C
|
[
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bmBDFZJaJNSMnj0FfBrO3oG6po5sTu94aTLs6VU0cmXn4fs95Jv+0Uyk2rYIPR3Vk1vBWpg5Lr7RaeOPPQi10ayt+mdKHZzuUrxa6KJ/MLrGmZ+fS+7NNhJ6NAaCWuxu73xlK/arOJo7MvPx19ApPLtkCOcoqpskD/fh2bCezrYdQWp8GR/D26v1K/7paxQ//6c2LXRuZOiwhHsmsEmtGTh49F2zkyDklqTbyqsqeGcMsYm8oU9h25jr9vtik22L7iS6NWTOpV7nbpvrHfef5z487lRa6WsWySX0suryiKP/MJrHm5Gvo9/km3bYlPnVrsGfGEKqWk9VGhnLkSiJdPt2gKz7Tu1Udgl7pV+5mTPwaEsX477YpK7Ws1Pz+ygBGy0ICYabMIrFqtFr8v9lGUEgkoLRUD77vTxVHmcNYHGfjUum5IIi4hFQA2jTyYOu0QVQuZ3NAfzkUyXPfblO6BWys2DxtiNnV1xUCwCyqXkz8ZZ8uqdau6caeGcMkqZZAE/dKHPlwJA1qK4N7R8/H0mFOADEpmSaOTL/Gd2zA4ud7gkoFufkMXBRM6OVEU4clxH1Mnlhnrj/O8m0nAXCr7MzuGUOlT7UUark5EPKBP60aeQBw4WoibWat5Xx8qokj06+pPZvw39GdlJPMbLp/tpGoxHTTBiXEPUyaWH/af4HZf4UoJ4727Hx7KPVk9L/Uqjjasn/GEHr5eQMQl5BKy9kBHLlSvlp1M4e2ZMogPwCyUjLo8+kGbt7KKeJdQhiPyRLrjnNxTFy2U5mwaGPFljcG4lfLzVThlBsOttYE/98gHu/SGFAST7u569l+9rqJI9OvJU93YnhHZWbA5Zgkhn61hVyNyYcLhABMlFgjE9Lo8+VmpZaqSsVPE3vRr2lNU4RSLtmoVfw1uTeTBrZULtzKpu9nQfx97IppA9MjlQr+nNRb1/Vx8NQ1Ji7fa+KohFAYPbGmZ+cyaNFmSFMGVmaMaMvzMidR71QqWDquM++P6gAqIDuPUV9t5vs9500dmt7Y2agJfmMg7tWVCme/7jzF59tOmTgqIUyQWJ/+YTcXrip9fsM6NGTeY22NHUKFMse/NYsm9AS1CvI1TP5xB3M3hZs6LL2p7mLH5jcHg4My3/mtVfvKXbeHsDxGTaz/2xiuK6rSyKsqayb1LHdLMM3R672bsvLlfmBjBVot76/ezxt/hJg6LL3xq+XGH5N7K830PA1DF28td1PNhGUxWmLdeS6OD/48qJw42bPxjYE4lbPVQeZsXIf6BL05GOyV+cFfBh7jmWW70Zh+fYhePNmmDm8NbwMoA3Yjl2wjTwazhIkYJbEmZmTz+JKC5YgqFf9O7iPFi01giG8t9r0zDJwdAFi16zRDv95Kdq7GxJHpx4In2tK1uVJW8vDpaN7554iJIxIVlVES69gfd5N0Mw2A14a2qvA1VU2pS/3qRHw4gspVlD9sm0Kj6LlwA2lZuSaOrOzUKhX/vNQHFzdlw8WFgUfZekb6W4XxGTyxfr3zDMEF+zX5NajJwlHtDX1LUQRfD1eOzxyBt0dlAA6diqbj3EDi07JMHFnZ1XCx5++X+iiDdRoto7/bTlKmLB4QxmXQxHohIY3XVh9QThzs+PvlPuWupJ2l8q7iROgHI/Ct5w7A6UvxtJ29jovlYHlofx9P3hjaGoCkm2m8uGKfiSMSFY3BEqtWC09/vxOylNbC0me6Sr+qmanuYseBd4fSpbmy5cm168m0mbWO8Jhk0wamBwueaEfTOso+Wf/sP8cfRy6bOCJRkRgssX6x/ZRuF4B+resyqbtUfTdHLvY27HhrMEM7NAAgOSmdlnMC2BsZb+LIysZGrWLNlD7KFDPg+RV7pJ6AMBqDJNarSRm89ced4iorXuhhiNsIPbG1UhMwtS/j+zRTLqRn0n1+EIER10wbWBn51XLjgxHtALiVnMFrvx00cUSiojBIYp2y8oBuu5DFT3fC09XBELcReqRWqVgxoTtv+heshMvKYfjnm/jlUKRpAyujmcP8aOil1KldtfsMuy5YdktcWAa9J9agiGg2HFZ+Gds29uTlHk30fQthQAtHtWPeuK4Fq5jyee7bbRa9/t5GreLnF3ooswS0WiYt31tuFkUI86XXxJqn0TJ1ZcEIrLWaH5/vKktWLdA7A5vz46Q+YK0GjZa3ftnDu2std7J9twY1GNe9KQDnriTw9c6zJo5IlHd6TaxfbjvF5ZgkAF7s40urWlX0+fHCiCZ2bci/rw0CO2vQwif/hPLir/ux1MbeF6M7gqOyM8W0vw+TWg4WRAjzpbfEmpaVyzvrjionTvZ8IlWrLN7IVl7smD5Ml5CWbQnn8e+2W2RB6eoudsz2V+a25qXe4r+BJ0wckSjP9JZY522KIC9V2YJ59vDWsm11OdGrsTtH3x+OY8Ey0bUHztPv801k5OSZOLKSe3tgc2pUU2q3fh4cTlyq5a80E+ZJL4k1KTOHeZvCAKhcxYXp/Zvr42OFmWjtVYUTH47Ao4YrALvDrtB1XhCJGdkmjqxkbK3UzHlcmX5FVg7/DTpu0nhE+aWXxPrp5pNwS/nrP9O/FXY2Jt/8VehZw+ouHPlwBI29ldVMJyKv035OANeSM0wcWclM7NoQr4IaCd/uOE1CmmX9cRCWocwZMDMnj3lblIr0bpWdebln0zIHJcyTh6sDIe8Po21jTwAuRt+kzawAzsRZzhbbapWKmQV9rWTl8Mnm8rObgjAfZU6s3+45p9u/avrglthaSWu1PHN1sGXvjMH0a10XgIQbqbSYvY7Dl2+YNrASmNC54Z2+1u2nyLTA/mJh3sqUBbVaWBQcoZw42vNab2mtVgT2NtZsfH0Ao7spiz/yUm/RYW4gW07HmDiy4rFWq/i/gS2Uk/RMvt93wbQBiXKnTIl146lorsYq81Zf6tkEZzsbvQQlzJ+1WsWa//Ti5cGtlAuZ2Qz4bAO/W0gVqak9m+g2IPxma4SJoxHlTZkS6+Jtpws+RcWb/Xz1EY+wICoVfPN0Rz4a3UnZYjs3nzGLg1my2/xXNrnY2/B8V2Xb9fNXE9kjNQSEHpU6scamZLLx+EUAuvnWpqHUWq2wPh7mx+IXeum22J66bCezgsJMHVaRXu/bXPmDAHy93XLrIQjzU+rE+t3uc8rmgMDU3s30FpAwvGvXrjFl8mSmTJ7M/Pnz7/v5hqAg3c/37Ste9f2pPZvw2ysDCrbYho9+P8Araw6Z9RJYv1putGroAcCfhyNJkS1chJ6otNrSffW93v6da9eTsXV1JP3LZ7CRLVcshkajoXWrViQkJGBlbc2xY8eoVq0aAFeuXKFf376kp6dTq1Yttm3fTqVKlYr92cGnYxi4KFhXNvKp7k1ZObGH2W7J8+3uc7z84w4AFj3fk9dlAFboQalarHsj47l2PRmAiV0aSVK1MGq1midGjQIgPy+PP//4A1AS7uRJk0hPT8fGxobvf/ihREkVYICPJwffHYbaxRGA3/ecYchXwWTlmueUpvGd6oO9LQDL95h/37CwDKVKrMv2ntMdT+rRWG/BCOMZP348KrXyz//vv/8CMP+TTzhxQilO8t5779G6detSfXbHutWI+NCfalWVfvctRy/RfcFGs3zUdrK15sl29QA4HnmdCwlpJo5IlAclTqx5Gi0rDyuDVo28qkppQAtVt25d2rdT1s1HRESwatUqlixZAkDffv2YPGVKmT7fp6YrR2eOoF7B9yP0bAwd5waaZeGTCV0L9mPTws/7ZU6rKLsSJ9bg0zG6KlZPd5INAi3ZuHHjdMfTp00jPz8fT09PFi9erJfP96rsxOEP/GnZoCYAZy8n0Gb2WiLNrFU4qJkn9q5K9a4/Qix7KxphHkqcWH87FKUcqODZTvX1HY8wohEjR97Vh2pd0K/q6uqqt3tUdbJj/7tD6d7CC4CYuBRaz17H8eibertHWalVKsa0qwvAhauJnLWg2gfCPJUosWq18M9xZWVNE+/qMnfVwtna2lK/QQPd+ZgxY2jTpo3e7+Nka822twbj31F5wklLzqD17PVmtbHfmPZ3Ggm/FXR1CVFaJUqs+y8mcKugTNzI1nUMEpAwnl9//ZXjx47pzsNOGK6qvo1axdqX+/BCv4I1+rey6DV/PevCrhrsniXRt6kHOCu7Ca8/ZhnLcoX5KlFi/efonS/cqLZ19R2LMKJz587x0Ucf3XUtLCyMs2cNN+VIpYJl47swY2Q7ZcVTdh4jF23iJzMYMLJWqxjZojYARyOvW1wRb2FeSpRYN4dfA8DFzYl2daoaJCBheNnZ2bw4cSJZmZm4uLgwffp03c9+WbHC4Pf/5PG2fPZMN2UJbJ6GiUu382mw6QuhDPfzVg40WgIjrpk2GGHRip1Yb97K4eRlpU9sUPPaBgtIGN57777LhQtKK/F/c+cy5aWXcHRUJvSvXbuO3FzD72D6Vn9flr/UF6ytQKvl7ZX7mPZXqMHv+yjDW3gpyR7YFCaJVZResRPr5lMxULA750BfSayWau3atfz2228ADBk6lFGjRuHg4MCAAQMASEq6yYYNG4wSy3MdGxDwf4N0K58WBhxhwoq9aExUYKC6ix1NvJSlvTvOWEZtWWGeip1Yt54q+KKpYJBvLUPFIwzoypUrvP322wDUcHdn4cKFup89PXas7njVypVGi2l4i9rsmTFUN3C0YttJRnyznZx8jdFiKKy3j7LtTFxCKpduppskBmH5ip1Y952/DoBnDVdquTkYLCBhOG+8/jrpaWmo1GoWLVp013zV7t274+GpJJUDBw6Qmmq8uZzdGtTg+Pv+uFZ2BiAw5AJ9Fm4iPdvwXRL36tPUQ3e89XSs0e8vyodiVbdKz87FZcpyyNfwZLcm/DGpl+EjExXOxcR0un8SRHRcMgDN67uzY/pgqjnZGS2GxIxsqr28ArRanuvry/Lnuhnt3qL8KFaL9UBUAhQ8mnVpWMOgAYmKq15VZ47OHIFPXeU7FhEVR7vZ67hy03hbbFd1sqO2u9KSD4lMMNp9RflSzMR6ZwfObg3cDRaMEDVc7Dn43jA6NlP68S/HJNF69jpOXU8xWgzt6lUH4HR0osn6eoVlK1ZiPXp7a2MbK/y8pJqVMKxK9jbsemsIA9sqy0xvJqbhO3sdBy4apwXZrq6SWMnN59hV86lpICxHsRJr2NVEAJp6VpGi1sIo7GzUbHitH2N7+igX0jLpMi+QjSejDX7v9nXvLH45ciXR4PcT5U+RiTVXo+VinPIY5lurssEDEuI2tUrFqok9eG1YQcHtrByGfL6R1YejDHrftt53EmvY1SSD3kuUT0Um1nNxqZCXD4CvFLUWJvDl6A7MHtNZKTaQm8+4b7by1Y4zBrtfVSc7bF2VlWinYyWxipIrMrGejEnWHTfzdDNgKEI83AdDWvLdi73ASg0aLa8v38XM9ccNdr/mBTMDzhtx0EyUH0Um1rNxd75YzTz0VwBZiJKa3L0xf746EGytQQuz/zzElFUHDbLFdsMaSgHw2JvpJltiKyxXkYn14o2CFTgqFQ2rORs6HiEeaVQbb7ZOGwoOyqKBpZtP8OTSHeRp9Jv86tcoKOKel89lI86jFeWDdVEvuJqofKnUzg442Bb5ciEMrm/TmoS+P5wun24gJ+UWf+8/x4Bb2QS90k9v39F6Ve9sWROVkE69qiVvVMTHx7N61SoAbGxtefHFF7GzK3oV2d69ewk9fBiA+g0a4O/vX+J7C9Mq8lsYk6RsHNiwspPBgxGiuNp6VyXsgxH0XBBEXEIqO45fptv8DWydNojKDrZl/nyvKo6646vJpWux7tixgwULFgCgUqt59tlni5VYv1m8mF27dgHQpWtXSawWqMiugNjUTADcXe0NHowQJdHEvRJHPhxJg9rK9Kij52PpMCeAmJTMMn+2V6GGREzyrVJ9xpEjR3THdby979q48VHCw8N1x638/Ep1b2FaRSbWpAzlS1rDRSpaCfNTy82BkA/8adVIqUp14WoibWat5Xx82apz1XS9832PTy1doj5RaA+xFi1aFOs9165d4+bNO6u92rZrV6p7C9N6ZGLNys2D7DwAqjhLi1WYpyqOtuyfMYReBVurxCWk0nJ2QJlWTVV1tNPtJnAzveT7X+Xm5nKu0P5hbdu2Ldb7Dh06dNd5x44dS3xvYXqPTKw3b92ph+nmWPZ+KyEMxcHWmuD/G8TjXRoDkJWSQbu569l+9nqpPk+lQrezQXJmTonfHxERQXb2nYTcrn37Yr3vaKHuA09PT6pUkUU5luiRiTWl0Beqkr2NwYMRoixs1Cr+mtybSQNbKhduZdP3syD+PnalVJ/naqd850tTcPtwwag+gK2tbbG7Ao6XovtAmJ9HJtZbOXm6Yyc7mWolzJ9KBUvHdeb9UR10W2yP+mozP+w9X+LPcrK1Au7+PSiuY0eP6o6bNGmCjU3RDRONRsOZ06d1561aty7xfYV5eHQfa96dWpR2NlYGD0YIfZnj35pFE3oq/aT5Gib9sIO5m8KLfmMhdtbKdz43t+Q1WcMKjey3LObI/qlTp8jMvDNQ1r6Y3QfC/DyyGZpbKLHaqIu9PZYQZuH13k2p5mTLM0u3Q24+76/eT3xqJotGdyjW+22slMRa0lVdaWlpXL50SXced/06f/z+e5HvKzxwZWVtTZs2bUp0X2E+HplYC3+dVFKGVVigcR3qU9nJjqFfBkNWDl8GHuNGWha/vNAddRFf6ts/LmmtgCNHjqDR3GmUbN26la1bt5boMxrUr4+9vczEsVTSDBXl3hDfWux7Z5hui+1Vu04z9OutZJfiEb84QgsNXJVWcbsPhHmSESlRIXSpX52ID0fQfX4QSTfT2BQaRa+FOQS/MQCXh8x4ud1QLenD2rHjx3XHNWvWpHPnzkW+Jzsnhw1BQbrzNjJwZdEemVhtrO58pXLzpXSasGy+Hq4cn6kk1yuxSRw8dY2OcwPZOX0wNVzuf+zOL3ictyrhdkQnIyJ0x8OGD2fWrFlFvufQoUN3Jdb2HYrXDyzM0yO7Auys7/xYdqsU5YF3FSdCPxiBbz1lt+HTl+JpO3sdFxPT73ttdsHOGbYlmBETGxtLfHy87rxdMZekhoaG6o4dHR3x8fEp9j2F+XlkYnW0vfOIlFGKSdJCmKPqLnYceHcoXZrXBuDa9WTazFpHeKHdMgBu5SqJ1aEEifXwPf2rHYrZ8iw877Wpjw9qmYVj0R75r1fJ/k5PQXpWySdJC2GuXOxt2PHWYIZ2aABAclI6LecEsDfyTmvzZpbSmHAuwarDwi3PGu7u1KxZs1jvCwsL0x1LRSvL98jEWrlQfYDkzJIXohDCnNlaqQmY2pfxfZopF9Iz6T4/iMCIa8p5trKku5J98etknCg0cNW8efNivScpKYno6DvbercpZsEWYb4emVid7WygYPVJaSr8CGHu1CoVKyZ0503/gmSWlcPwzzexdM85KFggU8W56OLUAFqtllOnTunOizuyHxISgrbQXNnidh8I81VkR45jQbnAhLSyFw8WwlwtHNWOeeO6KqsC8vKZsmyn7mfVHzBj4EHOnTtHRsad3QaKW9HqSKHug6pVq1K7du3iBS3MVpGJtVbBlyouJcvgwQhhSu8MbM6Pk/qAtbLF9m0elRwf8a47QkJCdMdqtbrYMwKOHjumOy5u94Ewb0UmVo+CLSqulXLfHyEsycSuDfn3tUFQaCbAP0cvFWuL7cK1VOvVq4ejY/ES8qmTJ3XHUtGqfCgysd7e+yclJYNcPW8xLIQ5GtnKiwk9murONx+J4vHvthf5/T9/4YLu2K+YI/sJCQkkJyfrztvJwFW5UOSS1rrVC/ZX12i5dCONRjWKtyGaEJYs/56VhmsPnKdfRjYbXuuP00O22A4MDCzxfapXr05MbGypYhTmq8gWayP3O4n0dGyKQYMRwlxE3lA2I3R0c8ajhisAu8Ou0HVeEIkZMkNGPFqRibVZTVfd8anrklhFxXCuoBHR3MOVIx+OoLF3dQBORF6n/ZwAGXMQj1RkYm3u4abbrfJkdJKh4xHC5DJy8rhxU6kd0NTDFQ9XB0LeH0bbxp4AXIy+SZtZAZyJK9sW26L8KjKxOthaU7Oa0h0QIYlVVADHryXpaga2qKXskurqYMveGYPp17ouAAk3Umkxex2HL98wVZjCjBWr0kOL2pUBOH7tZrGmnQhhyQ5fStAdt/Guqju2t7Fm4+sDGN2tCQB5qbfoMDeQLadjjB6jMG/FSqytvKspB5nZnI2Xxx9RvoVeLGiFqlW0r1P1rp9Zq1Ws+U8vXh7cSrmQmc2Azzbw+5HLxg1SmLViJdZO9avrjvddiH/EK4WwfKGXlMTq5e72wN0FVCr45umOfDS6k7K9QG4+YxYHs2T3WSNHKsxVsRJr9wbuuv0p9kVeN2Q8QphURk4eZ6MTAehQr/ojX/vxMD8Wv9BLt8X21GU7mRUU9sj3iIqhWIm1uosdngVz+faflxarKL/2Rcbrqlp1beRe5Oun9mzCb68MUJbAauGj3w/wyppDMhZRwRW7THm3RkrB3rNXb5CSmWOwgIQwpa2n76yC6tPUs1jvGdOuLpunDQEHpbzgNxuO8/SPu8iTJeAVVrETa6/bXzKNli2npTtAlE87Ckb41S6OtPR0K/b7Bvh4cvDdYahdlMIrv+85w5CvgsnKlZ03KqJiJ9ahzWvpjjedvGaQYIQwpYycPEKj4gAY1NQDVQn3ve5YtxoRH/pTrapSX2PL0Ut0X7BRnvAqoGInVu8qTnh5KPNZt0RIYhXlz+ZTMVCwgeCA5qUrNu1T05WjM0dQ11NZWBB6NoaOcwOJS5V6xhVJibaCvP1luxKbRGRCmkECEsJU1p+4ohyoYIRf6av4e1V2IvRDf1o2KBiXuJxAm9lr5XemAilRYh3Rylt3/OdRmRAtypegE1cBqF+rCnWrOJfps6o62bH/3aF0b+EFQExcCq1nr+N49M0yxynMX4kS68BmnrqRz7XHLhkiHiFMIvRyIgkFpQKHtaqjl890srVm21uD8e/YCIC05Axaz17PLllkU+6VKLHaWqkZ2kJ5RDp0NpYbUpdSlBOrQ6J0x0+1q6e3z7VRq1j7ch9e6NdCuXAri17z17Mu7Kre7iHMT4kSK8Do9gVfunwNq0Mu6jseIUzir1Dlu1ylqgudi1hxVVIqFSwb34UZI9spKxiz8xi5aBM/7b9Q5HuFZSpxYn2idR2wtwVg9SH5YgjLF3o5kauxSknMJ9vVL/E0q+L65PG2fPZMN2UJbJ6GiUu382lwhGFupgfLli2ja9eudO3alWvXZCZQSZQ4sTrZWjPcTxnEOnQmRiqpC4u3bN953fFzXRoY9F5v9fdl+Ut9wdoKtFreXrmPaX+FGvSepXHz5k3mz5/PxagoLkZFkZYmMxpKosSJFeC5LkpnPBotP+yRVquwXHkaLb8cVL7DXh6V9d4N8CDPdWxAwP8N0j35LQw4woQVe9GYUYGB2bNmkS7JtNRKlVhH+Hlh66os3Vu+V0qlCcsVEHaVWwVPXeO7NjLafYe3qM2eGUPB2QGAFdtOMuKb7eTka4wWw8OcPHmSv/76y9RhWLRSJVZrtYoXOitfwiuxSew4F6fXoIQwlu92nlYO1Comd29s1Ht3a1CD4+/741pZmTMbGHKBPgs3kZ6da9Q47vXeu++Sn5+PSl2q9CAoZWIFeKW3j65G6+Ltp/QVjxBGE52cyZYwZbVVz+ZeeFV2MnoMfrXcODZzBLXc3QDYF3GVzvOCTDaVMSAggMOHD+Ps4sLkyZNNEkN5UOrE6uvhSttGSsWrf0KjZK91YXEW7zylq706tU8zk8VRr6ozR2eOwKduDQAiouJoN3sdV24ad2A4JyeH2bNmAfDKK69QuXJlo96/PClTW//lPj7KQU4e3+yUvlZhOfI0Wr7bcQYAt8rOPFZoubYp1HCx5+B7w+jYTKkidzkmidaz13HqeorRYvj6q6+Ijo7G29ubl156yWj3LY/KlFif6Vgf60rKINbibSelsK+wGKsPR5GclA7AlN5NsVYbaPJqCVSyt2HXW0MY2LY+ADcT0/CdvY4DFxOKeGfZxcXF8e233wIw86OPsLG5f68vUXxlSqy2Vmpe76W0WhNupLLqcFQR7xDCPHy6MVw5sLHijT6+pg2mEDsbNRte68fYngVPg2mZdJkXyMaT0Qa9738//phbt27RuXNnhgwZYtB7VQRlHvabPqA52FoDMC/wRJkDEsLQNp+KIaKgoPXTnRvjXsnexBHdTa1SsWpiD14b1lq5kJXDkM83stpADZejR4+yLiAAKysr5vzvfwa5R0VT5sTqXsme8d2UaSpnLyfw19ErZQ5KCEP6cN1R5UCt4sNhfqYN5hG+HN2B2WM6K8UGcvMZ981WviroF9an9959F61Gw+jRo/Hx8dH751dEepmo9vHw1soSPeDDf0Nlh0phtjafiuHwaeWx2r99Q3xqupo4okf7YEhLvnuxF1ipQaPl9eW7mLn+uN4+/4/ffycsLAxnFxc++PBDvX1uRWetjw+pV9WZZ7o1YeXOU5y5nMDKw1E826G+Pj5aCL2a/keIcqBWMffxtqYNppgmd29MVSd7nlyyBXLymP3nIeJTs/h2bKcyF4xZtGgRAG5ubnxXMHh125GjR3XH3yxeTK3atXn33XfLdsMKQqXV6qd9eTUpA++310B2Hh41XLk0fzS2VrJyQ5iPVSFRPLN4CwBPdmvCH5N6mTagEtp25jr9vtgEmcqc8Se6NGbNpF5lmtHQonlzEhMTi/ValVpNdLRhB9HKC71lPq/KTrxaUMw3Nj6FBZvNtxyaqHiyczW89fsh5cTWmgWj2pk2oFLo27Qmoe8P19Xp+Hv/OQYs2kxmTum32K5evTrVqlV74P+cnO6sRKtcuQp1vE0719eS6K3FCpCSmUOVab+jSbsFDnbELHgKD1cHfX28EKX2QcAx/veX0g3w+rDWLBrdwcQRld7ZuFR6LggiLkHZSqZNIw+2ThtEZQdbvd7n66+/Zt7cuQBs275dBrZKQK/P6q4Otix6sr1ykpnNq78d1OfHC1EqFxPT+d96pb/Qxc2J2f6tTRxR2TRxr8SRD0fSoHZVAI6ej6XDnABiUjJNHJm4Te+doK/0bErz+u4A/H3gHMGnY/R9CyFK5MUVeyFbeVz+amxnXOwtf1VRLTcHQj7wp1UjDwAuXE2kzay1nI9PNXFkAgyQWFUq+HFCwfYTWnj+p91l6gMSoix+ORTJ9uPKVu2dfWszoZNhdwgwpiqOtuyfMYReBTt6xCWk0nJ2AEeuFG8wShiOQYbtO9atxpQBLQFlP/U3zXDrCVH+xadl8fwv+5UTO2t+ntDdtAEZgIOtNcH/N4jHuyiLdLJSMmg3dz3bz14v82fb2eq3z7Yi0evgVWEZOXk0eu8vYuNTQK1i27v+9GlS0xC3EuKBBn+1hU2hyjLQ2WM688GQliaOyHC0Wpiy+gDfbw5TLthZ89fL/XmitYzkm4LBJpo62Vqz8j+9lC4BjZanl+4gNcu0ldFFxfH9nvO6pNqqYU3eG9zCxBEZlkoFS8d15v1RHXRbbI/6ajM/7D1f5HuF/hl0Bn+fJjV5eaCyFjv+RirPL99ryNsJASjTkSb/WvBds7dlzeTeqA21p7WZmePfmkUTeioNmnwNk37YwdxN4aYOq8Ix+NKoL0a3p7G3svPlP/vP8f0e+QsqDCcnX8Pj32yDrBwAFo/rQhP3SiaOyrhe792UlS/3Axtli+33V+/njdtLeYVRGDyx2lqp+WdqX91Wv5N/3cuJ6GRD31ZUUC+vPsipS/EADOvQkKk9m5g4ItMY16E+QW8O1v3efRl4jGeW7TarLbbLM6Ms5vf1cGXps92Uk6wchn8VLP2tQu+WH4xk2VblsbdmDVdWTix/swBKYohvLfa9M0y3xfaqXacZ+vVWsnNNv8V2eWe0KimTujfSVUW/GpvE6KU7pbyg0JtjV2/y/E+7QQvYWhPwaj9c9bzE0xJ1qV+diA9HULmKCwCbQqPotXAjadKwMSijlp9aNr6LbifKzUeieG/dEWPeXpRTNzKyGbxos65f9Zvx3Whfp5qJozIfvh6uHJ3pj7eHsuvqwVPX6DQ3kPi0LBNHVn4ZNbHa21iz4Y3+qF2U6jyf/HvEYNtNiIohV6NlyFdbdAVJJvT15eUeFbNf9VHqVnEm9IMR+NZTlpufuhRP29nruJiYbuLIyiejF0ytW8WZ4Ff7KzsOaLWM+36HUXahFOXT+GW7dTsCtPepxffPdjVxROaruosdB94dSpfmtQG4dj2ZNrPWER6TbNrAyiGTVKLu27Qm30zorpvI3OvzTUTJX05RQh8GHGfNHmUPKI8armx4rT82ZrCNtTlzsbdhx1uDGdpBqZmQnJROyzkB7IuSxo0+mazE/8s9mvDaUKV8W07KLXot2MCNjGxThSMszA97zzPn74K5mU72bJ02mGpOdqYNykLYWqkJmNqX8X2aKRfSM+n2SSCBEddMG1g5YtK9UxY92QH/jo0AZaZAv882kSGVsEQR1oVdZdJPO5UF8jZWbH19IM3MfFNAc6NWqVgxoTtv+hfs+5WVw/DPN/HLoUjTBlZOmDSxqlTwx6RedPCpBcCJyOsM/jKYnHyZZycebOe5OEZ+HQx5GlCrWDm5D32bSnGf0lo4qh3zxnVVfhnz8nnu2218se2UqcOyeCbf7c/ORk3wGwN0y173hF/l8W+3ywoRcZ/Qy4n0/nyjUrRaBZ+N68o42Q24zN4Z2JwfJ/UBa2WL7Td/2cN7a4+ZOiyLZrCygSUVl5pF29nriI5LBmBk50b8PaXiFM8Qj3bkSiLtPgmCdGX7kXcf78DckZa9xYq5WXv8Ko99E6zbbWFi/xb88EyXMm+xXRGZTWIFZW+iDnMCuJGYBihrvf95uY+M9FZwBy/eoPOnG3RJ9aXBfix5upOJoyqfdp6Lo/fnm+CWsnhgZOdG/DG5t/wOlpBZJVaACwlpdJ67Xpdce/l5s+HV/jjYWps4MmEKW07HMGBRMGQqM0YmD/Tju3GSVA3p2NWbdPt0A7eSMwDo0dKbDa/1x0l+B4vN7BIrKC3XrvMCld0HAL8GNdk6bZBMp6lgVoVE8czS7ZCbD8Brw1rzpQVvW21JLiSk0WN+0F2/g9umDaKq/A4Wi1kmVoCYlEx6LgjiwlVlY7Ra7m5snTaYphWstmZFNWdDGB/+cRA0WlDBR0924uNhfqYOq0KJTcmk16cbOXdFWTxQr1YVds8YQm03JxNHZv7MNrECJGXmMGhRMCEFSxZxdmDzq/0Y4ONp2sCEweTka3h++V5W7zqtXLBW893zPZncvbFpA6ugUjJz6LtwM0fOKdvYV69Wid0zhkoDpwhmnVhB+UUb9+Nu/tp3VrlgrWbBmM5MH9DctIEJvYtNyWTYV1s4ej5WueBgR+Cr/RnavJZpA6vgsnLzGL54G1uPXQLAupIj+6cPlgpij2D2ifW2meuPM/vvEOXREHi8S2N+eaG7dKiXEzvPxeG/eAtpBQMmHjVcCX5zEM093UwbmAAgT6Nl3I+7+GNvQQPHwY7gNwbQX54eH8hiEivA38euMOq77boR4nq1qhDwan/55bNgWi3M2RjGzL8OKaupgG4tvFj7cl8ZKDEzWi28suYQSzYeVy7YWLHm5f481baOSeMyRxaVWAFOX09h2FfBRF27qVywt+WbZ7pIDU4LFJ+WxVPf72DniSvKBZWKN4a1ZuGodrIwxIx9HHiC//55UNmtwUrNN8/3kN+/e1hcYgXIyMnjheV77zyWAEM7NOCXF3pQxVG247AE68OvMfr7nWSlKI/+ODvw76TejGzlZdrARLF8s+ssr/y8Szdr47+jOzNzaEtTh2U2LDKx3vbD3vNM+mWvbksOt8rOrPxPLxnsMGOZOXm8siaEn7ZFcHvTs7aNPfnn5T54V5FpPJZkTeglnv52q26e8dQhrfj6qY6yBBYLT6wAZ+JSefLb7URExSkXVCqe7enD4rGdqGRvY9rgxF22n73O+B936epBYK3mXf92zBnRSh79LVTw6RgGFloZ91T3pqyc2APrCr4E1uITKyj7Hr337xE+CzwGBSUHXSs7s+SZzoxtL9WPTC0xI5vX1xxi1e4zulZq7Zpu/D6lD13qVzdxdKKsDl26QZdPN6JJuwVA/zZ1CZjaF3ubijtjp1wk1tsOXExg3Pc7uRh9U3eta3Mvvn2mCy1k5oDRabRavtx+mjf/DtUVUEGtYnL/lnzxZDup/1COnL6eQo/5QboaH+2aeLL1zYEVdgvycpVYQVlQ8PH6E8wLPAq3dyOwUjO+Z1M+eawdHq4Opg2wglgXdpU31xy8M3sDaORVlZ8n9qSrtFLLpatJGfSYv4FLMcq/eZM61dk1fQjulexNHJnxlbvEetuFhDReWrlft1oEAHtb3ujfnJnD/KhcQf+SGtrOc3G8/fdh3c6pADja88ljbXmrv2+F73sr7xIzsunz2SbCIq8D4Onuyu63h9KguouJIzOucptYb9twMpo3Vh/gfEExFwAc7Zk+oDnvDm4hCVZPdl2I54N/Q9kbcVWZ3whgreaFXr588lhbqrvIZP+KIiMnj8FfBrMn/CoALm5O7J4xhFa1qpg4MuMp94kVlL6+n/Zf4IN/QolLSL3zAwc7Xu3TjHcHtZAuglIKiohmduAxDp0q1EJVqfDv0JAFo9rRRIp1VEi5Gi2jvt1BwKHzygVHe3ZOG0zPhjVMG5iRVIjEeluuRsu3u84yO+CorpMdAFtrxnZuxHtD/PD1kN0+i5Kn0fLLwUg+3RjGmcuF9qNXqRjUth5zH2tLa6+K0zoRD6bVwou/7uenreHKBTtr1r46gBEty/8ikAqVWG/Lydfw/Z7zzAs6Rkxcyp0fqFT0aunF9EEtGeIriwzudfNWDl9tP81XW0+SdLPQHya1Cv/2DfnYv5UkVHGfd/45wvx1oUoXkbWaZS/25oUuDU0dlkFVyMR6m0arZdXhi8wPCuPkxbi7flbL3Y3nujVmcvfGFXpFkEarZcPJaH7YdY6A4xd1G80BYGfNc92a8P7gljSqIY/84uEWbjnJtFX7CpbAqlgwrovJS3/+/PPPpCQnA9CzVy9at9bf5pQVOrEWtu3MdeZtPMG2E5d1pQkBUKto1aAmo9rVY2yHetSr6my6II0kT6Ml+HQMaw5F8eexy3fW8xewruTItH7NeLNvcxmUEsW2/GAkz3+/A/KUJbDTRrTl0yfamSSWrKwsGjVqRH6e0lCYO3cuE55/Xm+fL4n1HufjU/l6xxmW7j1LTsqtu3+ogoa1qzKohRcjWtWhZ2P3crN7ZWxKJmtPXCUo7ApBEdG6XTp1VNC+aS2m9GzKuPb1sbNRmyZQYdHWh1/D/+stuvoez/X15afxXY2+pHn//v2MeuIJ3Xnwli00b66/FrQk1ofI02jZEH6NXw9G8tfRS7q10Hext6Vn45r08anFQF9POtSpZjEFKJIycwg+FcuWU9HsOB1NVHSSbrlpYQ29qjKmY0MmdG5Q4eYiCsPYGxlP94WbdKvxhnVoyN8v9cbWynh/rL/88kvmf/IJAPYODly4cAG1Wn/3l8RaDDn5GjafiuGfo5cIPH7l7hkFhTna07NhDbo39qBzg+p0rl/dLObJarVwJi6F/ZEJ7L1wnX3nrnM++ubdXR63Watp38gDfz9vnmxbV6ZLCYM4EZ1MzwVBpCSlA8rS802v98fZzjiFkyY89xzBwcEAtGrVig0bN+r18yWxlkJ4TDLrw66y5eQ1dp69rnusuY8K7Cs50bRGJRrWqEQjd1ca1XChqYcrzWq66nUdtUar5dLNDE7HpnA2LoXzcalciEshMj6VizdS7x50ukctdzf6+noyuLkXg309K+z6bmFcUYnp9PgkSFftrHl9d3ZMH2yUbe7btm1LbIyyQeL4557jk4LWq75IYi2jXI2Wg1EJbD0dy66zMey6EAe3HtBt8CB21ljb2VLN3gYXO2tc7G1xdrDBxd4GZzsb7G3VnIlNISk9h9z8fHLyNeTmacjO15CRryEvX6NU88rPV7Y1Ke4/paM9ddwc8KzshKerI072UgxFmEZiejZBIZF3Lthac3nBGIPOxLlx4wYtW7TQnS9atIjRTz2l13tIYtUzjVZLeEwKRy/f4Pi1m4Rfu0nEtSQSEtOKn/iEqMDG9fRh5cQeBvv8DRs28OLEibrzffv3U69ePb3eQ5oqeqZWqfCr5YZfLbe7rmfm5HHhRjrn4lKJSkgl6kY68amZpGTmkHIrh5Rb2aRk5hKflQtZ2bqN9UpEdd+BEJahoNHh5VGZ/+vva9BbHQkN1R1XqlRJ70kVJLEajYOtNS083YpdFzYnX0N2bj5ZuRqsrFQ4WKuxs7GSSvtClNHx48d1x76+hknikljNlK2VGlsrNS4Vr5SlEAZ18uRJ3bFfq1YGuYfM8hZCVBiRkZGkpt6pcNe2TRuD3EcSqxCiwggJCbnrvF379ga5jyRWIUSFcfTIEd1xDXd33N3dDXIf6WMVQpQL+fn5aDTKbBobmwev4DLGwBVIi1UIUU507NCBOt7e1PH25tdff73v57k5OZw7d0533spAA1cgLVaTCQoM5Px5ZduKVq1b06tXr4e+VqvV8vPPP5Oacqcod9du3WhvoP4h8XC5ubn8/NNPHDhwgEuXLmFjY0OHDh0YO24czZo1M3V4FdaNGzeIKViiCuDj43Pfa46fOEFubq7uvH3btgaLRxKricydN4+LUVEATHnppYcm1vz8fKZMmUJQYKDumqenJyNGjjRClKKwuLg4Hn/8cd2/220RERGsWrWKzxYu5IlCpeiE8VwoaKQAWNvY4Ney5X2v2bd3r+7YytqatgZsmEhXgAmkpaVx6dIl3fnDWp65OTmMHz/+rqRav3591gcGGmS1iHg4jUbD+Gef1SVVLy8vevfuTYuCNefZ2dm8M2MGN2/eNGWYFdb1uDs7gFSvVg0b2/sLCQUFBemO/fz8cHExXBlMSawmcDgkBG1BJ7tKpaJTp073vSYrK4sxTz/Nju3bddd8fX1ZHxiIh4eH0WIVioCAAMLDlU3xunfvzt69e1m1ejWbg4MZO3YsABkZGfz222+mDLPCcna+s7NHeno6WVl3F2oPDAi4a2FA3z59DBqPdAWYwOFCa5Vr165N5cqV7/p5WloaY8aM4djRo7pr7du3Z9Xq1Xd9gYTxrF61ClD+EH783//e1SJ64oknWL16NQBnTp82SXwVXdOmTVGpVGi1WtLS0nj8sceYMGEC9g4OhB4+zPIVK3SvdXNz0+s2LA8iidUECifMe5fUJScnM2rUKE4V+uvau3dvfl6+HNsHPN4I4zhdkDA7d+ly38BIx06dmPO//6HVavGVASyTqF27Nn379mXr1q2AMq3qjTfeeOBr33v//fsaM/omidUEwiMidMftCo1MxsfHM+qJJ7hw4YLumr+/P98sWYKVlZVRYxR3xMfHk5iYCDy4P1ytVvPCCy8YOyxxj2XLlvH5F1/w3bffkp19f03kGu7uzJk1i2H+/gaPRRKrkV2+fJmkQgMcHTp2BODatWuMeuIJrly5ovvZM88+y/z581FJRSuTKjypvFGjRoDSXbN3716qVatGKz+/Bw6WCOOysbVlxowZjBkzhk0bNxITG4tKpaJ+vXrUb9CAtm3b4uDgYJRYJLEaWcihQ7pjewcHWrRoQVRUFE+OGkVsbKzuZ6+88grvvf++KUIU94iOjtYde3l5Mf7ZZ9mxc6du62QbGxuGDh3Koi+/lO4aM1CnTh0mT5li0hhkVoCRhRZaq+zj48O5c+cY4e9/V1Kd8c47klTNSFZmpu549qxZbN26VZdUQVk0sHbtWoYPH37XBHRRcUliNbLCj5X29vY88fjjuv672ypVkp1RzUnhqTuhoaE0b96cn5cvZ8/u3SxatIjKVaoAEB4Wxm8FswNExSZ7XhlRbm4ujRo2JCfnIbu6FvDw8ODgoUMPLSQhjGvevHl8/dVXAFStWpV9+/ff9cfv1KlT9O/fH61GQ4MGDdhTaIWPqJikxWpEYWFhD0yq9vb2PFVol8jY2FhWFJp3J0zLttAfuEGDB9/3RNGsWTNat24NwKVLl8jPzzdqfML8SGI1osP3FNkFcHV15bc1a/hi0SKaNm2qu7548WJyi2jZCuMovCijUcOGD3xNk8aNAaW2Q+GZHaJiksRqREcKLQwAcHd3Z11AAB0LplxNmz5d97P4uDh++ukno8YnHszB0VF3rFI/+FfGulCrNq/QwJaomCSxGtGJEyd0xw0aNGDDhg00LmjpAAwZMoRmhYrvLlmy5IETnYVxeXt7646TkpIe+JpbGRmAsligbp06RolLmC9JrEaSnJxM9LVruvO58+bh4el53+umF2q1JiQksOzHH40Sn3i4Tp06YW2tTPk+X6g8XWHHjh0DoEaNGrJYQEhiNZZDhw5xewKGlZUV7dq1e+DrBg4cqCtFB0qr9d5KPcK47O3tdfUBtgQH31caMOTgQaIKyglK8XEBkliNJvTwYd1x/fr1H7m0bvrbb+uOb968ydKlSw0amyjauHHjAMjJyWGEvz+HDx8mJSWFoMBA/jNpEqD8wXy70BOHqLgksRrJ0YJHRbi/otW9+vXrR8tCFdC/X/o9mYVW/wjjG//cc4ws2LUhMjKSEf7++DRtyn/+8x8SEhIAeP6FF2hQUEtAVGySWI3kZKGKVm3btCny9e/MmKE7Tkq6ybdLlhgkLlF8XyxaxIABA+6bGWBtY8PMmTOZNWuWiSIT5kZWXhlB5PnzdO/RQ3e+fceOu+asPsyQIUM4XtDSdXNzI+TwYSl0bQauXLlCRHg4NxITqV+/Pu3bt8fOzs7UYQkzItWtjCC8UNFqJycnmjRpUqz3zZgxg6fHjAGUWQWrV69mUkF/njAdb2/vu6ZgCXEvabEKIYSeSR+rEELomSRWIYTQM0msQgihZ5JYhRBCzySxCiGEnkliFUIIPZPEKoQQeiaJVQgh9EwSqxBC6JkkViGE0DNJrEIIoWeSWIUQQs8ksQohhJ79P9DwlyOWEc0BAAAAAElFTkSuQmCC",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1042.jpg"
}
] |
<image>Find x. Assume that segments that appear to be tangent are tangent.
|
C
| 65,490 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1043.jpg"
}
] |
<image>Find y.
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[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1044.jpg"
}
] |
<image>Refer to the triangle shown below. Find y to the nearest tenth.
|
D
| 65,492 | null |
D
|
[
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sm82Ghx96CMeOHQMATJ06FQsWLOjW7uWXXoLVasX8+fN75W1pZgkEvIQ+sUXGZrP10fLgwZtAdDSdRsPRlcw5RQmQPmYGRBL3EEwZkwyh2O08o6/Yi4wZzyJ2xDzmGk07Uf3Hu2g49EVI7CaEHlXqeCROvIs5d1j0rvUIZ+Dm6larFffddx82no1/GDZ8OD5bsQISiYTT7o/ff8fGjRshl8vxrBd36q6IRG7fDkrg+SNHO91TbK+jDB7gRyBoJ0rX/4WjponnTIAyOonTjKIEUMdnMOftlXtB006kTHuE84YBgPqDK1Cz832vCk2IbOLH3gx1+nnMubGuEI1HVvq4o/eYzWbcuWABNv3yCwAgKzsbK1eu7Lb24HA48MILLwAAHn7kESQlJXXryxNSqftLTuBFIKxWK3PcNSaDT3iJxajY+jJny0oVm4r4bM9h25rETOhqXB5vDnM7THUFUKaMRcK4WyGSR6Pmj/eYle3m4z/CbtYh/eK/kqpOAw4KaRc9hTNr7mPqgzYc/h/U6ef5VZzHaDRiwR13YNcuV97MkSNH4suVKxEf3z0YcMOGDThx4gQAwGa1YunSpZzXO9cOTp86haVLl+LSWbMwfMQISFkfeG87FGyBYAsK34RcIAw1h9BW+jtzLhRLkTbqIq9VrtRx6RAIRXA6XPkM28p3QpkyFgAQM/RKiGQaVPz6GmiH6z+4rWQHHBY9Mi99CQKxwmOfhMhEJI9C2oV/QdnGvwKgQTvtqNrxJvKu/ahfXwgdHR247dZbsXfvXgAul+vln30GtVrtsX17m7voc1dxYHPixAmcOHECNE1j+IgRHF+LlpbuxY8BoKHBtaaiUCi8jjL4ILSW0E5UbH6Jcyll+DSv25kAIBCKoIp170O7Kma5pxGarOnIvuINCCXuPgzVh1Dy05+71Y0kRD7q9EmIHT6HOTe3lqHhyJf96uuJJ55gxOGqq67ClytXehUHwPXhTU5O9vqPvdCYnJwM9VmPyWHDhjEfem8CUVJSwrQNJ0IqEFW/vc2plalJzEJUcnc3166wtztthgZ0NHGdpJTJo5Fz9TucSM+OptMoWfcorPpa/w0nhBVJ5y2ERO2e/zce+QqW1vI+9VFYWIjv17gSH0+fPh0ffvRRtwXJrsy79locPHTI67/ONYtr5s3DwUOHmHgJhUKBzKwsAMDBAwe69dvS0sK4c48ePbpPv0ewCZlAWNqq0HpmE3MuFEuQOvx8H3e4USdkctS5a9JaAJDF5iJ37lJINO7yepa2ahSvXQRzc7EflhPCDYFYzkkoQzvtqN65FOyRZU9s3rzZ1ZdAgGUffMDZaQgG48eNA+BKQFtfX8957f2lS+E8u4sRbgIRsjWIis3Pd9m1mASRtHdrBCKJDIroJBhbXKOB9rKdSJxwZ7d2EnUycue+h7KNz6CjybWwaTc1o+Snxci87BWSv3IAoUqdgKi8mdAVbQEAGGuPQle8vdcp9HftdH3JCIVCbN++3WfbSZMmIevsCKC/3LFgAb777jvYbDYsWrQIr776KlRKJVavXo0VK1YAcCWAmXvNNX49J9CERCDaSn+DmTUElGvjEZvet7mWJiGTEQhzSyms7TUey+qJ5NHIueofKN/8Agw1hwEADqsRpRueRsaMZ6HJmu7Hb0IIJ5KnPAB9xW44rC5X5rp9n0CTOa1X1dtral3vJZvNhkU9ZI169733/BaISZMm4cYbb8SqVavw244duGA6931IURTeeffdHsPGQ01IphjVf7zHOU8ZNs3rroU3urpduxYrPSOQKJA1+zVocy5irtEOKyq2vISWkz/36bmE8EUkj0bC+DuYc5uhAc1dCip5Q9/e3uvnSProuOSt/d/ffBN33nlnt10KlUqFl19+GVOnTu3Tc0JB0NPeNxV8i9o9HzLnUSl5SB/dv0pKZ3augVnvCptVJo1Ezpz3fN9A06jZ9c+zlaY7oZA48S4kjLu1XzYQwgvaacfp1XfD2u5a5BNKVBhy0/8glHrfjeCb2tpaFBYWoqWlBakpKRg1erTPXBJ8EvQpRv3Bz5ljSiBE4jkT+92XJjGTEQhT/XHYO3QQyaO830BRSDn/UYjkUag/+N+zF2nUH1gOe0crUqY+3OeRDCG8oAQiJE26GxVbXwHgyoTeVPBtN0/bcKJzWzQSCOoUozH/GyZTMQDEpg+DRN5/ZWdPM2jaCX3F7l7dlzD+DqROX8SptdB87Puz/vx2H3cSIgFtzkWQx7q3y5uPfc/ZTif0n+AKxJGv3A8SihCf498uglwTyxGYNh/rEF2JGTYH6TOf43jc6Yq3cdKtEyIVirMW4bAa0cKZVhL6S9AEQle0hRNvEZM2tNfbmr7QJLhDwA3Vh+C0dfhozUWbfQGyZ78OgcRth6H6IEp+fgJ2s85v2wj8ocmaBll0NnPedOwHMjoMAEETiPoDK5hjihIgLjswDiCaxCzmmHZYoa/a772xB5QpY11el6wU+h2Np1CydhGs+rqA2EjgAwpxY9zZoeymZrSV7ODRnoFBUATCoqvguDhrk3N8xlv0BUV0IkQSd3Scr+1Ob8hj8856Xbr9KCxtVShZ+yjMLcEvZ0YIDlG5Mzju9s1kmuE3QRGI2r0fc85jM0cGrO+uOSL0FXv7NZSUaFKQO+c9zuKWzdSMknWPwVhXEBBbCaGFEogQM+RK5txUX0gE30+CIBA0DFXugBS5Jg4KbWAL7bKnGQ6rod+FVUSKGORc/Q4TPt7ZX9mGpzzGexDCn5ihV3F2q4hjnH8EXCCaT6zjfKNHp/U/mYc3VLGpEAjdLhz9mWZ0IpAokD37dWizL2CuOe0WVGx5Ca2nNvhlJyH0iFUJULEyT+mKtoB2hE+Ox0gj8AJR+D1zTAmEvQrn7isCoQiquDTmvL18N/oSydcVSihG+sznEDPsauYa7XSg6rd/BCytGSF0xAy5gjl2WPRoL9/FozWRTUAFwmkzwaJzl1LXJGZCKPYdY99f2NudNmMjOhpP+2jdMxQlQOr0x5Aw/nbWVRp1+z9F7e5lJNdlBKHOmMJJld8Z8UnoOwEViIYjK8H+Jo9OOSeQ3XPQJGRw5pr+TDPYJE5YgJTzH+W4YDcVrkHl9tfJvnqEQAlE0LLCvvWV+wJatm8wEVCBaCv6lTkWiqWcaUCgEYpdOSKYZwdwUTF2+FxkzFjC9bos2oryX5b0yTGLwB9RuTOYY9ppJ4vO/SRgAuG0dcDKKmaiSczifMMHAy2rsI6ltTygFaC1ORch6/LXOIlv9VX7UfrzE7Cb23zcSQgHFInDIVa6d8/YiZIJvSdgn+Cmwu/Anl5oE7O9Nw4QfckR0R9UqeOQc/XbnIhRU+NJlKx7DDZDvfcbCWEAxdmZ6qtbPsFFwASirXi7u1OhmJOJOliI5SrINXHMeTCGkfK4c5EzZyknSapFV4HitY/C3EqccMIZdvYw2mGFofogj9ZEJgETCEtbBXOsiksFJRAGqmufsOt3mhpOMEVVAolUm4rcue9zKk3bjE0oWbcYpvrCgD+PEBgUiSM5iWP0lft4tCYyCYhAGKoPceokquPSA9Ftr+BMM2g6aHvejNdlsjvozGHRo3T9X4JabZrQfyiBEKrUCcy5vqp7ynmCbwIiEK2nN3LOVXGpXloGHpk6BhKFu4ZiMFerhRIlsq94gzN0ddotKN/8PFpP/xK05xL6jzrNncHMZqiHpa2aR2sij4AIBDu4SaLQ+JU1qj9wckTUHIHTGrwEMJRQgoxZzyNmqDsoiHY6ULXjLTQe/SZozyX0D2XKOM65sfYIP4ZEKAERCLuxiTlWxoQ+1x43R4QN+qrgzjUpSoDUCxZ3SXxLo27fJ6jd8xH8cfsmBBaJOgliVSJzTiJ1+4bfAmGqP8ZU1wYAZXTvSqIHEkVUIkQSdz2BQG93esaVHTtl2iNcr8uC1ajc9gbxugwjlEnudAOm+uM8WhJ5+C0QbaXcrD2KqAQvLYMHRVFQJ7hzRLRX9i9HRH+IHTEP6Zc8A0rgji7VFW1B+abn4LSbQ2IDwTeKxBHMsbW9hji69QH/RxB1x5hjoUgCqYKf/P5a1jTDaTXBUH04ZM+Oyr0EWbNfhUDsHsXoK/eh9Ocn4TD3vkALITgo4oeyzmh0NPkX2DeY8FsgLO01zLFME8tbnQlXjgh37ESofe9VqROQc9U/OFGEpobjKF63CDZjY0htIXCRxeRwRnikmHPv8Vsg2PUH5OpYf7vrN5RACHU8O0fErpCHaMvjz0XOXA9elz/+qc/l6QmBgxKKIY1y++aYW0p4tCay8EsgrO01AGuBUqqK9tE6+LCdpuymFpgaToTcBqk2DTlzl0IW445FsRkbUbxuEVkg4xF2SnwzEete45dAdFbP7kSqivKnO79Rx6dzc0TwFOIrVsQiZ867UCaNYq65vC6fgL5yLy82DXakUe5FbGtbJchWdO/wSyC6LvZIlfwWIBWKpRw/jPYy/lKNCSUqZF3xBjSZ05hrTrsF5ZueR+uZTbzZNViRaN3TT6fdApuxmUdrIgf/phgst1WBUMzxReALttOUpa0SFl2F98ZBRiCSImPWC4geMpu5RjvtqNr+JpryV/Fm12BEouE68JEiSb3DL4GwsTwoJXKV38YEArbbNRAqpynvUAIh0i78M+LH3sy6SqN278dn64eQoW4okLC8KQHAZmzw0pLAxi+BcFjce/yBqpzlL2KZEnJWHQ6+BcIFhaRJ9yB56kNcr8v8Vaja8SYnEpYQHETyKM5WJzs8gOAdvwSC7SkYiMK8gYI9zTA1nuKMdPgkbuR8pF/8V84btfX0JpRvfh5Ou4VHywYDFKcsn60j8HlDBiKinpt4h12QhF0vk2+0CZmoP91Z1NeVIyJ2+FxebeokKm8GhDINKra8xKRA01fsQen6J5F1+as4WVSBI4cPo6CgAEqlEmPGjMGEiRORmhq6EPqBikgWBdvZvKkO4m7dK/wTCJYPhFAs9duYQCFVRUOq1MJidL0J2st2ho1AAK4cBdlXvYXyjc8ycQElJ4/gz++dj30nuntdCoVC3HvvvXjyL3+BQhE+I7VIg51dymEx+GhJ6KTfUwxnl2AogSg4BXL6C9tpylh7lOPxGQ4o4ociZ857EKsSUdFowcMflXgUBwBwOBz4+OOPccP118NsJgFg/UUoca+TOaxGHi2JHPovEB06zrlQJPbckCfYuSpppx36ivBzUJJGpSPjirfxxpoGGDp6Xqg8fPgwXnnllRBYNjARiN3TYBJp2zv6LRD2LgocqiS1vUWhTeAsnIZrfcbv1m1BcXXvqz799/PPUVpCYgn6AyV0j3Jph5VHSyKHfgsE3WXVPdwEAhQFDStHhL5yX1i+Kb5d/W2f2jscDqz5/vueGxK6wd49IlvLvaP/AgFnz414hr0O4bR1hDRHRG85dfpU3+85eTIIlgwC2JXe6PB//4YDwa2NxzOq2BTO4mk41me0WW09N+p6j52ksyOEhn4LBAV+EsP0hXDIEdETKSl9r0DWn3sI6PK3D//3bzjQf4EQcrc1aWd4Dtk4OSI6dDDWH/PemAcuu+yykNxDAEC71x3Cbs0sTOm3QLDzLwLhu+ijjk8HJeA/R4Q3Ft6/ECpV7wPdJkyciAsvvDCIFg1cnCzPX0oYXtvy4Uq/BYKdexEAnI7wnBcLRRKoYtxuyuERvOUmMTERb/z9jV611Wg0WLp0KSie8n5GOjTL90EgCh/P33AmYCMIhz38thA7YTtNWdtrYG4Jr6rc8+fPxz//9U+fbtRZWVn4bs0a5OTkhNCygYWDVXFNICYu673Br1gMUAJmu8hhC99oRE1CJqqP72QWqdrLd3FyRoYD1113HaZMmYKlf70BJ0ubcKamA0qVEuPPuxCTJ0/GzbfcQuIw/MRhdTukCSXhkb8k3PFLICiBELSjUyDC13VVJFVAoY2HSeeK5Gsv29mlbF54kBAlwe0XKIALXA5eqRcsRszQq3m2auDAjuAUyjQ+WhI68csPQiBy+7bbLcErmBsI2LsZHU1nmLDfcKJr1mtF4kgvLQn9wWZqZY5Fcn4zsEcKfgkEOzrOZg5zgWAlkenMERFuGOsLmWOhVA1ZVKaP1oS+4LSZ4LS536NiBX81XCIJvwRCJGdl6DGHVzh1V6RKLSctf7jtZgDcMoaKxBG8VSkbiFi7jBjFyngvLQls/BIIdqZgu9UMZxjvZABdckTU5cNh6X0UZbBx2jpgbnGXhFOyCs4S/MfWJYu1WB36KvSRiF8CIYvJ5ZxbTOFdqJY9zaCdDrRX7OHPmC6YGk5ynM3I+kNgsbRVMccUJeCURyR4xy+BYFeOAgCLUedPd0FHoY3nZN8Op2mGieUCTglEkMcP4dGagYdFV8kci9VJnNBvgnf8EghFwlDOucWg86e7kMCum2GoOhA22aRNrAVKedw5xNMvwJhby5hjdhk+gm/8C/emBByPSrM+/MuZsQXCaTfDUH2QR2tc0LQTxgb3FieZXgQaGuZWdxYuWQzxRu0tfueDECsTmOOO9vAXCGVsCoRiVo4IHut3dmJpKYWT5QasTCILlIHE2l7D+f+Vx+b6aE1g47dAyOPOZY5tZmPYO0xRlADqOFYquordnPT9fNA1BF2RQAQikJgauVm75HHn8GRJ5OG3QKgzJnPOO92Zwxl28Jbd3AZTXaGP1sGHvf4g0aRwKkAR/MfUcII5FkrVkGhIwp3e4rdAaLKmc86Nunp/uww66rh0TsIQvncz2C7WSrL+EHDYXwCKhOEg2aR6j98CIRCKIZS6A19MLbX+dhl0BCIxVLGsHBE8JpGxGZs4pegVZP0hoDisRpibi5hzZRIR4L4QkKS18tg85rijvTmsc0N0wskRoa+DubnYR+vgYeq6/kBGEAHFWJvPWWNSJo/h0ZrIIyACoc1xp0CjaSeMETCK0CRkcmId2niaZpAAreDC3sYWiBXEAa2PBEQgos65HOx5nb6x0nvjMEEkkUMZlcic8zXNIAFawcVQtY85VqWMJR6UfSQgAiEQSSBWusNnI0EgAK7TlLm5mLMWEAq6BmgpSIBWQLG0VcLSVs2cq9Im8WhNZBKwwjns/3yb2QBzBDhNcXNEhH4UYWrkBmiRCM7Aws35QUGTMYU3WyKVgAlE3OgbOOdtDWWB6jpoSBQayFTuzEKh3u5kTy9cAVpDfbQm9JX20j+YY3lsLsSqBB+tCZ4ImEDIojI5Gaba6sIrc7Q32KMIU10h7Ky8hcGGBGgFD5uhgeMgpcm+gEdrIpeA1uZUpU1kji2GVpj1LYHsPihwckTQTugrdofkuTTt5LyByfZmYNEVbwPgLrWnzbmIP2MimIAKRMK42zjnulp+fAv6glwTB7HMnQI9VMFblpZSOKxG5pwEaAUWXdEW5lgemwepNp1HayKXgAqELCaH41WpqzkTdsVyPcF2mjJUH4TTHvwU/iRAK3h0NBfB3OIO747Km8WjNZFNQAUC4A7lbGYjDM3VPlqHB+xclU67BYaqA0F/JtuDkgRoBZbWUxuYY0ogRFTeDB6tiWwCLhBJE+8C22mqufKE98ZhgjImCUKxe4EwFF6VbIEgAVqBw2m3QHfGPb1Qp50HEUlx328CLhBCmRbSaPeQXd9QAZvZ6OMO/qEoAdTx7BwRe4JarZwEaAWPtpJtcFjdJRiih17JozWRT8AFAgASJ9zBHNO0E80Vx3y0Dg+0rN0Mh0UPY11+0J5FArSCR/PxtcyxWBkPNXGO8ougOKZrsy+CUKJkVulbKk8iIWccBCJxMB4XEFRxaRAIRXA67ABcTlOqlHFBeVZvA7TOnDmDL774AqdPn0ZTUxPycnNxyYwZuP766yEUCj3eM5gx1R9HByt7VMzQq0BRQfkOHDQE7X8veuhVzLHDZgn7tQiBUNQlR8QusPfRAwknQCthuMcArf/8+9+YNXMm/vPvf+O3HTtw/NgxrF27Fosfewy33HILTKbwTu3HB435q5hjSiBCDOs9SOgfQROIpIn3cCLnmkrzmW/ncIXtNGUzNKCj6UzAn9EtQMtDApNt27bhxRdfhM1mg0QiwaxZs3DFFVcgKioKAPD7b7/hww8/DLhtkYxFV4H2crdrdVTeDLIzFACCJhCUUARt7iXMud3agZaK4z7u4B91fAYo1rd5MGIzehOg9dqrr8LpdEIoFOK7NWvw3y++wKfLl2P7jh0Qi13TtM+WLw+4bZFMw+H/uX1uKApxo/+PX4MGCEGdoKVMexQU5Z4rN5QcDetsUyKJDIpod0m2oAhEDwFaBQUFOHbM1WbO3LmYMGEC81pCQgKmTZsGAGhpaUFjY2PA7YtEzK2l0BX/ypxrMqdDFp3Fn0EDiKBmzxBKFNDmzYDuzGYAgMNmRmPJUSSdG75x+ZqELCYjlrm1DNb2akg0qT3c1Xt6CtAqyHfvnjzwwAPd7v/rM89g7ty5EAgE0Gq1vXrm5k2bcOjQISQkJOD2O+7A6lWr8PPPP+PUqVO44MILMX/+fEyf7ko+vHfvXqxduxZ//P47rFYrxowZgyeefBJ5eXmcPjs6OvD+0qUAgPnXXQeHw4Fvvv4av2zahPi4OFx++eW49bbboNVqYTAY8OWXX+KP339HQUEB0tPTMfeaa3D33XcHZLG1bt9/OKMH9i4awT+Cnl4nbfrjaCveBtrpWn9oLi9EbPowiOWqHu7kB01iJmpPugO22st2Im70jQHpuzcBWoWFLgGRyWQYNWpUt9dHjx6N0aNH9+m527dvx2effYZhw4cjPz8f33zzDfPa1199hdWrVuG/X3wBq8WC++67D3a7e62ovLwcGzZswPbt25Gd465I1dHRgaVnBUIkFuOTjz+GXu+qll5WWor9+/fj119/xfLPPsOdCxZgzx53oeSGhgYcPHgQx48fx7vvvtun36UrhprD0LOKMEflziCVswJI0PeAKJEEcaOuZ86dDjtqT+0N9mP7jUSuhkzt9rxrC2DwVtcALUXi8G5tCs9OL3Jyc5n1kNOnT2Pr1q1oaPCv5siJ48fxzTffYP78+fh0+XK8/fbbiI+Ph8PhwF133omFCxciKioKL7/8Mj7//HPcdPPNAACbzYb333/fa7//ePttKJRKvPrqq1ixYgWuv9719961axcmTpiAPXv2YM6cOfjPp5/inXfeQVKSaxr37erVKC8v7/fvQzsdqN29jDmnhGIkTry73/0RuhOSBH1Jk+5Fy4l1zIejra4EhuahnG3FcEKTmMnUGTU1HIO9oxUieXQPd/WMsZ67SOvJxbq2pgYAkJGejt927MDjjz+OmrPXACArKwtL338fkyb1b5q2cOFCvPjSS8y5yWTC888/D6vVCrlcjnU//YTMTJdfxqxLL8UvGzeitbWVWRfxhEqlwvr165GcnAwAuPSyy7BlyxbodDoYDAbccccdeOPvf+c8c8mSJXA4HDh18iTzvL7SfPwHmFvceUfiRs6HRJ3k4w5CXwmNFwlFIfXCP3Mu1RzfGVR3Zn/QsoK3QNNoLw9MjojeVNAym12RpLW1tVi4cCFHHACgrKwM1193HTZv3tzn51MUhSeefJJzrXPREwBuu+02zoeVoihMOu88AEB7e7vXfm+77TZGHDrvmzLF7cH4zLPPctqfN9ldja3NR7++sBkbUX9gBXMuVsR2SzdA8J+QuZlpsy/i1M+wGNvQUHw4VI/vEzJNLCRyNXMeqFyVvQnQslgsAICjR4+6vt1feAHbtm/HTz//jFtvvRWAa8j/4osvwunsW01RrVYLlYq79hOf4E7DlpWV1e2e+Lg4AADtI2w/LS2t27WEs/1GR0dDo9FwXuvss6d+fVH9x3tw2tzOYklTHoRArOhXXwTvhNQPNWv2axzX18aSo8xQPtzg5og4zHkz9ofeBmh1CgQALHnuOTzwwAMYMmQIxo8fj7fefhvXzJsHACgtKcGWPo4ipDKZz9flcnmf+mP6lXpPldffPn2hO7OZszCpTp+EKJbPDSFwhFQgRIpYxI+9hTmnaScqC3bwXl3bE+wcEbTDCn3lfr/6622AVqcjlFAoxP/9X3dnnwULFjDHx46Ht+NZMLAZG1Gz61/MuUAsR+r0xTxaNLAJeSRL4sS7OAtJ5vZmNBQdCrUZPaKIToJI4v7G9Xea0dsALaXSlfg3NjbWo5/D0KFux6oKP3YAIhKaRuX2Nzjh3MmT74dYlejjJoI/8BLqln3V2wBnqnEExtbQFq3pCYqiuuSI2Mf4cvQH9gjCW4AWACgUrnk0JfD8p+kUEAAcf4XBQMPRr2CsOcKcq9MnIWbY1fwZNAjgRSAk6mQkTbyHOadpGpX52+CwWXzcFXrYwVsOq4Hz5uwLTruZUxzYU4BWJ6mprq1fXWurx9dbWtyZwj0tKg5UjHUFaDi4gjkXyaKQduGTYGcvIwQe3oLl48feBHncucy5rcOAqsLf+DLHI6rYVAiEbleR/k4zTA0nel1Ba/LZLUCLxYKqqqpurx886C5GmzlIBMJuakHl1ldY/4cU0i56kqSSCwG8ZtPImfMuBCLWPL++DE1lBTxaxEUgFEEV597Cc/lD9H1bri8VtNj+A59//jnnNZqmsfLLLwEAIpEI5531URjI0E47Kra+DJvJvdsVN/oGkikqRPAqEAKRDFmzXwd7mFh3ah9Munr+jOoCezfDZmyCiZWxqLf0pYLWeZMn45xzzgEAfPThh/hg2TI0NTWhtKQEzz33HH791RW1eP0NNyAjI8NrPwOFml3/grHO/aWhTBqFpEn38mjR4IL3fFzK5NEcDziadqLiyFbYLeGRMUmTkMHx3ehzCDhNdwnQ8p2gViqV4tPly6FUKuFwOPC3v/0No0eNwvnnn4/ln34KAEhKSsLjjz/eNzsikObjP6LlxDrmXKyMQ8bM50EJSLq9UMG7QABA4sQ7oUxyRy7azEaUH94cFq7YQrEUypj+54gwt3YN0Oo5g3VeXh4++vhjZsGSzYSJE7Fh40aP3oveYHwrvOyM9KWPTkQiERNM5k/ItkTsOU+pvnJfl0AsCTJmvUiyRIUYiu6vr2uAoZ12nFx5E+wd7tV7bVIOMsbM8LolGCqay4+h5oQ7qvPcGz/rdSm35uPrULNzKXM+7NbVvX6T2+12HD1yBBUVFZDKZBg7dixSUlL6ZnwE0tF0BiU/Pc7yXqWQfsnTpEIWD4TFCAJwLd7lXfshKKGEudZWV4KaE6EppusLtts10LdRRG8CtLwhEokwYeJEXDt/Pq688spBIQ5WfS3KfnmG49qeMP42Ig48ETYCAbjqGORc+RbHiaq54hjqT/vn5uwvYpkKco07wKhvAkEqaPUWu6kFpeufgt3k9vWIypuFxAkLfNxFCCZhJRCAy4ko45K/gr2z0VByBPVFB73fFALYTlOmxpOcN7E3SAWt3uOw6FG64SlY2921XFWp45F2EXGG4pOwEwgA0ObOQPLUBznXGooOoY7HkQRbIFw5InoeRXQP0CIC4YlOcWBX5JbHD0HmpS9xSicQQk9YCgQAxI28DokT7uRcayw5gprjO90JSkOITBUNicKd18BVWMc3bIFwBWhlBcO0iMZubkPp+ic5FbGkURnImv0aye8QBoStQABAwvjbu2UJaq44jor8X3nZAmU7TRmqD3O2Lz3BjuD0FaA1WLEZG1Gy7jFOgSKJJgXZV74FkSyKP8MIDGEtEIArPLzrSKKttgSlBzbAYTOH1Bb2bgbttENfuc9r274EaA1GzC2lKP7xT7DoKphrUm0qcq5+B2JlnI87CaEk7AUCcI0kkqc+DPZilbGlFsW718Ji1IXMDmVUIkQSd4YkX7sZfQnQGmzoK/ejZN0i2Izuwj+ymGzkXP0uxMp4Hi0jdCUiBAJwZSzOmLmEswVqMbWhePeP0DdW+LgzgFAUNAnuUYS+ah9oh81j074EaA0mmgq+RfmmZznTM2XSSORc/S6JzgxDIkYgAECbczFy5yzlOFM57FaUHdrkykoVgsVL9jTDaTXBUOM58S4nQCs2z2eA1mDAabegctvrqN3zIWdkpc25GNlXvgWhVO3jbgJfRJRAAK5iM0Nu+h+3TgVNo77oIMoO/gK7NbjrEqrYVAhE7vgBj9OMrgFag3z9wdJWieIfH4auaAvrKoWEcbchY+YSjuATwouIEwjAVQNh6K3fdPvg6ZsqUbRrDVNbMxhQAiHUce44jPaK3d1GLv0J0BqotJ7ZhKLvH+QUuBGIZMiYuQSJE+8CcYIKbyJSIACAooTInbMUCWNvAftNZjMbUbr/Z9SfORi0bNnsaYbd1AJTAze7tLGO6yA1GF2sHVYjKre9hqrtf4fT1sFcl2pTkXvNv6DNuZg/4wi9JmIFopPESfcg56q3OHN8mqbRUHwIJXvWwmJsC/gz1XFdckR0cZryJ0BrIGCsOYIz390LXdFWznVtzsXIm/cRZDHZPFlG6CsRLxAAoEwZh6G3roYsllui3tTWiKJda9BcXhjQBUyhWAJljLvUXNd1iMEaoOW0mlCzcylK1j8Bm8FdaFggkiJ1+mJkzHwOAgnxjowkBoRAAIBQosQ58z92OVWxvt2dDjtqTuxG8d61MLcHrooXOzbD0lYFS6urRkW3AK1Bsv7QVrIdp7+9C83H13LEWB6bh7xrPyLp6SOUASMQnSSMvx3nXv8pxF321E26BhTt/h41x3cGZKeD7Q8BAG1ng7e6BWgN8AjOzuQuFVtfgc3YxFynBEIkjL0FufOWQRo18HNnDlQGnEAArmCfobeuQuyIeZz4B5qm0VxxHKd/+wYNJUfgdPS/8IxYpoRC6/b665xmDJYALau+FpXbXkPRDw/CWHuU85osNhe5c/+JxEn3kGjMCGdA//VSpv0JsSOuRfmmJbDoKpnrDrsV9af3o7n8GOKzRyMmfRin/kVv0SRmwdTmchfuaDwNm7FxwAdo2QwNaDj8JVpPb+xWaUwgUSBx/ALEjriWJJYdIIRNTspg03pmE2p3/RMOa/ds2SKJHHFZoxCbMQwCUe+ddiwGHU7/sZo5TzrvPtQfWM54CiZOuufsNmzkY2mrRuPRr6A7s7mbMFCUANFDZiNxwl2DbsdmoDNoBMIFjbp9/0FT4XceYyiEIgli0ociNnMkxDKlh/u7c/r3VcxWKkUJOL4XOVe/A2XymMCYzhOmhuNoyl+N9rI/PPqVaDKmInHSPWTrcoAyyATChdNhQ+3uf6H1VPdhMuD6oGuSshCbMQLK6CQPPbipO70PjSVHu12nBCIMX7A2ImMwaKcD7WW/o6lwTbdF105UaROROGGBaxpFGLAMSoHoxOmwoXbPh2g9tQG0w+qxjVQVheiUcxCVkgexTNXtdZOuHsV71na7rogfitx5y7pdD2fMzcVoPbMZuuKtXnJuUtBkTEH8uFuIMAwSBrVAMNBO1B/6As2Fa+CwGjy3oSgotAnQJGZBm5jlTj9H0zixfWW3SmBxo65H8pQHPXQURtA0TI0n0F62E+1lO2Fpq/TYjBKIEJU3A3Gjb4QsmkwlBhNEILqgK9qC+gMrYNX7DviSKqOgjkuDKj4NbXWlaK3i1uzMmPUCtNkXBtPUfmE3NUNffRCGqgMwVB/iFCrqilCmQczQqxE7Yl43vxLC4IAIhBcsugrU7fsPDFX74fQy/eik6+IkAAy7dVVYJECxGRthrM2HsS4fxtr8s9u9Pv7kFAVVynhED5kNTeb5EbmGQggcRCB6QXv5LjQVfgdT/XGvaxVdkWpTIY3Kgiw6E9LoLEijMyHVpgftA+ew6GFuLYdFV+b62er6aTf17F5OCYRQJo2GJvsCaLKmk9ECgYEIRB8x1uWj+diPMNYegb1D17ebKQpieQzE6kSIFXEQiOUQiBUQnv0pkCggEMshFLt+0k4nnDbT2X8dcNg6WMcmOK1G2AwNsBrq4bDo+2SKSBEDddpEqNMnQ5U6gWR0IniECIQfOG0mtJzaiPay39HRXATaZgFN81+R3BMimRaKpNFQpYyFMmUMZNFZIMlaCD1BBCKA0A4bOppOwdRwEh3NRTA3F8Oiq/DoaxFMBGIFZDHZkMfmQRabC0XiCMiiM0EEgdBXiEAEGdppd00D9HWw6mtgba+FVV8Hu6kJdnM77Gada3rQyz8DJRBBKNNCJNNAJIuCWBkPiSYZEnUyxOpkSDTJECtiQMSAEAiIQIQFNGiHDU6HFbTd6vrpsAKUAAKhBJRQ4vopkpDoSEJIIQJBIBC8MiDzQRAIhMBABIJAIHiFCASBQPAKEQgCgeAVIhAEAsErRCAIBIJXiEAQCASvEIEgEAheIQJBIBC8QgSCQCB4hQgEgUDwyv8Dmmd8IhKG4H4AAAAASUVORK5CYII=",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1045.jpg"
}
] |
<image>Find the area of the shaded region.
|
C
| 65,493 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1046.jpg"
}
] |
<image>Use parallelogram W X Y Z to find m \angle X Y Z.
|
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C
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1047.jpg"
}
] |
<image>If X N = 6, X M = 2, and X Y = 10, find N Z.
|
C
| 65,495 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1048.jpg"
}
] |
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1049.jpg"
}
] |
<image>A B C D is a parallelogram with side lengths as indicated in the figure at the right. The perimeter of A B C D is 22. Find A B.
|
A
| 65,497 | null |
A
|
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1050.jpg"
}
] |
<image>Use a calculator to find the measure of \angle J to the nearest degree.
|
B
| 65,498 | null |
B
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[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1051.jpg"
}
] |
<image>If m \widehat F E = 118, m \widehat A B = 108, m \angle E G B = 52, and m \angle E F B = 30, find m \widehat C F.
|
B
| 65,499 | null |
B
|
[
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l+uxfozQ0voTzDC0ARQD3jK5XH6Z1tGgRqyVKKNwWqq37unmnkv5ntnGXIQjpEe1q1EqU1tgywFY7a0uNtB8tSsRsiRJKvsngc/y3kFSSe2bbG52jdJ8DGSFa9VML2B1ubKnzRmnc+00SkSF2S5RQapZn+rRQCUkl/c9so6JB/AjlHMqbBHDkpJWt0O1bl0Vno0VJLFqihJJkSMALVd51YSGppH/BgYoG8kCU6qcWsNqcPsWBWFfotECsWqKE4p9KCtlY698sz7dLgYieYO6JSmpaERrgewG+WJ1NxYEoiXVLlFC4Fc3t9fzllGRI8Ol+4M4TQhroyuSB1eb0uQDpLlDRE+uWKKEkGRJ8jv8W0kJVUTrN5+7wFK3Fj0CBFUmNB9xPXzlcgEonXi1RQlmzON2nhSrc8d9cKFqTDxFLTSupp3+aJJcLUMnEsyVKKNyK9lN7+e9do2hNOvxdFJHUtCI0QH5pkhqIZ0uUUNJT9Ozx303DLuw6zu9AScB3frx3gvatSQWln2HwpEnlRh1FaSIgRUuUUKorTD5RF98WKm609pu/99O+NYmQ34ySEY0tA2ya5NmPRESHVC1RQuEe/y2khcqTTjcNu3C63RaTsRGhESw1LaWe3AvwzgUUpUWLlC1RQinKS/ZpoeIuQ4SCm06/2dAXk7ERoaFILQhWm5O9ALctSZX1BagUpG6JEkrN8kzBh0ImGRJ87oVAJ3jEH5JaELgLvWsXpUk3EJUgh5YoofifxsE9nSUUa25LYx/Xn+kXeVREILgZJEktCHVnmAuwKktPJ3GIgFxaooTCbaHie/x3UV4yWzDwzCMifgiSmlbW07osDrZCV70wVeLRKB+5tUQJxf80Dj570Dzz5sA1p6BNvET0UKQWAG7KsHJhmmTjUAtK3+uXnqL3aaF67ejVsO/hzpuzncOxGhoRAJJaALippxLWfqLFceIVlBdXoLh4I14+LW5UIdeWKKGsWZzuc/x3uOgr32SgFFQieEtNK6mn1eZkU8/Vc4wSjyYeOHC5tRU2ANDPwTyzuKmhnFuihMI9/ptPCxU3BaUqaOzxOIoiNT9Otnk3TFaUaGE9zYbOlkvMw7IS3Jom7pSQc0uUUPJNBp8WqnCHQi4wez8Uv75EKWi8IKn50XTB2xKjiaqn6zraPmMORUwpMyNnkng/WgktUULxPxQyVAsVd/4cb6Hugnih/FkmMu+2em+qogXGLreiodsNIAurF82AmCuISmmJEkKSIcGnhepX74Xeu8Y9yoiIDyQ1Dl0WB7v+860CLUjNDduldnwFAJiJ0lkpov1kJbVECaUoL9mnayDU8d/ceUTravGBpMaBu+4xf5ay9lJFxg30fNMOOwBMLcStuVNE+8lKa4kSysZV2T4tVMH2rnHnEa2rxQdeUtNK5bPtyij7ON+UKOFI4sSYBV990g4A0N25AHOSxVlQU2JLlFD8W6iCHf/N3WjMnV9EbHA5eilS49LcxUy6TeZEVSxqh8Xei9bmIQCTMXt+PsTacKHUliihlBVM9VkzC9ZC5dnf5plfRGwJe+VqJUoDmPURAJidIV4aJmfcPRdwaggAMrHkVhN0IvxMpbdECeW5+3PD3tC4LJ+Rmmd+EbElpNS0JDTuIm5JjgZST7hg/aYVXwMAinBbgTh78pTeEiUU/xsav3RwYhqak+b9kKRiQezRQI7FD7vDxT7WRpFgBB1ftsIFAHklmJMzOeqfqJaWKKFUV5h8Wqj8965x55NlkG7IEmtIauN8edE7EZMMYiRiMsd9Da2fMo3ZSSuKMUuE/7KaWqKEwm2h8j/+OyPVu53lAhULYk5QqWkp9fRHjdW6CQx0o6XVDiAZ80pyIcYONTW1RAkl32TwOf6b20LF3aM3NOqa8F5CXChSG+ezDmYPkWfRV+3c6DyPvzsBIAtlhemIdjOHGluihFKzPNOnhYq7fuZ5/qseIZGaFX/79x+guLgCxcWVWLHjFMLf18qGz3f8kHlPzdv4RoM3tNLezAvDd2ZpoUhwAz3nvsYVANAvwKJbo++eUGNLlFD8W6h+8U43+3iOKYKKuusqWj7ynN3mxtX/PobGf4SJ9Mas6GhmIuaUbxdhhgav8ID/ZS2mnuctN6QeQhwZwsXWTuZhSSHM06Kb+WpuiRJKUV4ye/x3oBYqIT2gY73tONHNCbVGPkZdwxWMhXpT/0U0N48ASEfl/FxRe3mVgM6QQ5GaB0/qNDNdAxeky4Jvmpg1H+Pi2cgVOAusNicaWwZQ12hBY8sAdn/kvXDV2BIllGfXefeuba/vg9XmjKCX2A1bRytO+TxnRf3bn6MzRErp6u7AZ04AmIEFZm1Un/0hqfnB3VOkVsZ6z+OTtpsA0rFi8UwI2cCy+8OryPqPNqzY0431B69hxZ5u/J+zzCmwz5Yka6PIEoYkQ4LP8d/BWqhCw+nLLXoC//d/3wkdANfnh3GkJdjK2k30nm9FDwBMLcHcmdr8W0yQmhZTT20xBvuldjQDEPpp/tM9F7Hxg+A36LWNanBVOghrFqf7tFAd/lLgkd5jVpw/eREAkFQ+F5XfWYN79ADQgr1HWoMUDAbRfqaNeVhWiJlJIh6OpyAoUtMck5Bc8QxOnWvEuXO/xeMl/AojjS0DYdeD/qtzFI0tA2IMUhU8d38u+5jbIhXqYEkWezfOftoPdstN5iKs/6EZgBtX6xrQbAvwAcIuK0zGrcvniHrgp5IgqYFaV/jArW6G4s2G4JGc1khP0bPHfwvF25c7A8uKMzAJaVi09i7MBgDLcez75PqEgsHY9Qs42XETYvbyKpHoe2NUALdFiggM36rdG52jWBvi0MRAtPaOYsBOfwMvbgxcbMc5gHMznElIum0VHlv2Nn72+XW8v/8Euu9Zh3w2GhuDvaMVn7oAwIzSmRo4ij4IPlKj9TRCDNYfvCb1EBTOMNpOn4UT8N1ykzADdz54O/SfH4Pz48N4/9wqPF6SNP6eG+hpb8cwAOTMRbGIB34qBZ0hBwBFagRPakuNsj1nvypLH9nm1jhy3nKD3TZ0fcCJorwQLw66gXYysitX4XvJx/DOyFnsO9qGH5YsBKM1713B9LfPgVnev46YQlIDVH/mlxhULU7jJbXDNdlYs1ibHQWhqGu04MB4BJs5LcxeyBAbaCfdUobqfy7EO6+348Kf/orTG+ejIiUBcFzG6Q+uAUhCcWketLZDzROlAVQoIHhSUTqNPV4nGJvMiSQ0HoT7EA29gTYVZfeuRgHgUzAY6+1E8yAATMe3S7I0fWFr+f9OCOTlR81sC5A/25ak4uVHzfEdkCoJv4F2yry78MQdqQDGCwZjbvS3t+ILANCVYP5sbWUe3CgNoPRzAnQ0THCSDAn4Xz/Ix5N3O3GyzYahUTemJiZgSVGKpvs9xYXHBtpJuVhRsxz6jw+PFwxux7K2b5jCQmkJitK1s5nDX2gASY2l3KhD07BL4NEw2iQ9RU9ppkA8R1uFhdcGWh0yl9+Dh03v4w+Ws9j3/nG4TzDdB5H08iqVQEIDKP1k0caRQ4TUeFqngsF7A23KXNz3T8UAbuLCnjfw+qkRAFNRVpKDpGDv0QgkNT/+epEiNUJ8+B1tJWQDbQrm33cvynUABgcx4AKAQiwvNUV94KfSIamNMy+XidQ8Z+wThJjwO9qKs4E2bwHmzQi92UxfWIF/uouzDJBciFvztLFBLVjqCZDUWKYmegN96gUlxMRq895BKvTRVv1oO90BANB/qwD54db7J2WjsvoOb7o5rxCzpqr/kg4lNIAKBSyzs71ratQLSohJH+e2eNx5NpHpWPviQax9ke9P1iF91VY0n9sazfBUh/q1zhMT5zZm3NvlEUS0dF71rtMaNXhDGjEJF6UBJDUW7omtvf1aul8BEWvaOPf6pJa82ENS4+BpA2ruogooIR6e+RSuzYwIDZ8oDeBIjY4dAsrymUnHPaWUIKLFM59mZ2ijMik1FKlxKOIs4vI6cpkgwsCdR+Ua68kUE75RGkBS82HuTO9ubyoWEGLALRKYp1P6GQ9IahzyTQb2fo28e/UIIgRNF7wfjlQkiAwhURowLjVaT/Nyf4n3tmYEES3vtjLzKFzPJyEeFKn5wV33aO4YknAkhNJp6x5h2+6E36GdAIRHaQBJbQLcdbWznRStEZHz6Tkb+3jpnBQJR6ItSGp+5JsMqMpiugvqzgi8qzZBcPDMn6osvc/mboIfkURpAEktINULmSOrD1xzUnM7ERFdFgd7MsfqOZR6CiVSoQEktYCsXJjGPq4/0y/ZOAjlwp03FSWB7+tAxAaSWgAoBSWixTNvyo06lBVo927pkRBNlAaQ1ILCTUGpu4AQQlv3CJt6/mgRFQjiDUktCNwU9NgX/ZKNg1Ae3PlStSxDuoEokGijNICkFpR8k4E9VWFzQz/sDrfEIyKUgN3hxh9OM1s5qOopDDGEBpDUQvJYpfdT9shJq4QjIZRCw1f97Ibbf11BUZoUJFCLVHAWFaawvaC7P/+HxKMhlMBvP+oDwBQIKuelSTsYBSFWlAYACWL+MLWRZEjAT25PA8AUDBpbBqQdECFrGlsGfAoESXR0tyTQbz0M313qvQXZjqPXJBwJIXfebOhjHz90R6aEI1EWYgdWJLUwpKfosbMyDQBFa0Rw2rpH2BNud1amIT0l1P09CQ+xyBRJajzgfupStEYE4lfvXWEfU5QmLSQ1HlC0RoSisWWAorQIiNV6PkmNJ/7RGu1bIzxwo3eK0qSHpMaT9BQ9dq1m9h0duOakfWsEAKCu0cJWPClK408sd12Q1ARQszyT3be2vb4PVptT4hERUmJ3uLG93rsvbeOqbIlHpAxivY2MpCaAJEMCtq1l0oumYRdeO3pV4hERUvLSwR62e2Drygzal8aDeOyLTYjXP6QW1ixOZ3tCnz85SPcx0Cht3SN4/qT3ZNvqCpPEI5I/8fIMfbREwL9915tmPLW3m4oGGsPucGPrvm726+3r8yQcDeEPSS0CivKS2aJB07ALLx3skXhERDzZdfwKWxzYtTqD7ufJg3hmg6zUKAUVRs3yTPZ0XEpDtUNzxxA2N/QDYNLOmuW0hSMUOkNO3N1CkVqEJBkSfNKOp/Z2UzVU5VhtTjy11zftpOKA/KC/SBQU5SVj37osAEwa+tO9lyUeERFLfrr3MlvtpLQzPFJlfyS1KKmuMKG2lLkF2hudo3jlEK2vqZHdH15lW6E2mRPxyF3TJR4REYxJY2NjY9wn6NBI4dgdbqzc0cZ+in+0IQ8VpdMkHhUhFo0tA1ixh0k7y406HNpcQJ0DIZB6fZ4iNRFIMiRg92Mz2K9X7OmmO1CphC6LgxUaAOx+bAYJTeaQ1ESiKC8ZH23wFg4eefMy3d1d4XRZHKh5rZP9+nBNNq2jhUHqKA0gqYlKRek09oiipmEXal7rpI25CsXucGPznkvsksLOyjSsWZwe5l3aRg5CA0hqovP0fbnYtoS5EXLTsAvPvEViUxp2hxvPvNXJbrCtLTXi6ftyJR4VwZcJUpOLbZXMs+ty2f7QNzpHSWwKwiM0bqXzZ+tnhHkXISdvUKQWA5IMCXj5UTOJTWEEEtrLj5ppg20Y5CQ0gKQWM0hsyoKEFhlyExpAUospwcRGVVF5QUITjhQ9nXyZsPnWA23CFQ//i6bcqMP+J83INxkkHhnh2bbhqXKS0MIjV5l5oL9cHPCP2DzbPehkD2lp7hgioQlE7kIDKFKLO68c6mGPrgGAfeuy6NRUCTh2yoq1+7336txZmYaNq7JJaGEgqREBqWu0YP1B723Vti1JxbPrcumCigN2hxsvHexhj+IGmBM3qEE9PEoQGhBCagCJLZY0tgxgS90VNvWpytJj54aZtM4WQ7osDmzec4ndVFtu1OHF6mw6fIAHShEaQFKTFP+LDKB0NFb4p5v0ISIM1UgNILHFmkDpUG2pEc/dn0unQYiA1ebEf77bgx0tw+xzlO4LQ0lCA0hqssE/HQUoaouWukYLttf3sb/TcqMO29ZmUmO6AJQmNICH1AASW7wIFFVUZemxfX0eHXkjgLbuEfzqvSvsvkCAot9IIakRonDslBXPH77uE7VtW5KKJ++eThdlCKw2J147etUnlafoLDKUKDMPvKQGkNjiTaALFKD9VIGwO9zY/8l1bPygz+d5+iCIDCULDSCpyZ5AqVS5UYetKzNw54Jpmr5g7Q43jpy0+qybAZSyR4tmpAaQ2KSksWUAO45e89n+ATCR20N3ZGpKblabE3/8+LpPZwbAyKz27izadxYhSpeZB0FSA0hsUhNMbrWlRjxUkYGygqkSjSz2NHcM4Y+NfT6FFIBkJgZqERoQgdQAEpscCCa3qiw9qhemYuXCNFVsLO2yOFB/ph91ZwYD/l9JZuKgeakBJDa5ECx6AZiL/pFlt2DpnBRFCa7L4sDXl4axr6nfZy3Rgxai0nigJpFxiVhqAIlNTlhtTrx3whowogEYwa2eY0RFSSqK85JlVT21O9w41z2Cs53DIcdfvTAV312arqn1w1ihVqEBUUrNA8lNXjR3DKGxdRB/OG3zqQpy2WRORFl+IsrMRszMSoxrJNdlceDStVG0XxnFx98MB4zGAKbK+6NFKagoSaWoTETULDRAJKkBJDa50twxFDIC4rLJnIj0ZB2+VWDE1MQEmKczh1rmmxIFRXZ2hxtdFkZUnVdHMTTqRmvvKC703QgqMA+eiGyB2UgiExm1y8yDaFIDSGxyx2pzovXyCJo7h/HB+eGwkgtGVZYec0xT2K/PW25E9bNWzzGizGxEyYxkSi1jgFZk5kFUqXkguSkDT0T15cUR9PbfwCWrM2DBQSxqS42Yma5HTtoUzJ+VLDgCJISjNaEBJDUiCG3dIwC86aOHzzqCS+9bBUb2MTd9pZ398UeLMvMQE6kBJDaCkAotCw2IodQAEhtBxAOtS8yfmErNA8mNIMSHZBaYuEgNILERhBiQyMITN6l5ILkRBH9IYsKJu9Q8kNwIIjgks8iRTGoAiY0guJDIxEFSqQEkNkK7kMRig+RSA0hshLYgmcUWWUgNILER6oQEFn9kIzUPJDdCLZDQpEF2UgNIbIRyIZFJjyylxoUER8gZkpj8kL3UABIbIQ0kLGWiCKkFgkRHiAGJS30oVmpCIQkSHkhk6kYzUuNCgtMeJDLtoEmpcSHBqQ8SmLbRvNTCQdKTByQqgi8ktSgg4UUHiYqIBSQ1CVGDFElMhNz4/7cpZLlzWOqqAAAAAElFTkSuQmCC",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1052.jpg"
}
] |
<image>Find \widehat W N if \triangle I W N is equilateral and W N = 5.
|
B
| 65,500 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1053.jpg"
}
] |
<image>Quadrilateral A B D C is a rectangle. If m \angle 1 = 38, find m \angle 2.
|
C
| 65,501 | null |
C
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1054.jpg"
}
] |
<image>Find x. Assume that segments that appear to be tangent are tangent.
|
A
| 65,502 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1055.jpg"
}
] |
<image>Use parallelogram M N P R to find m \angle R M N.
|
D
| 65,503 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1056.jpg"
}
] |
<image>Find y.
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[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1057.jpg"
}
] |
<image>Find x. Round to the nearest hundredth.
|
D
| 65,505 | null |
D
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1058.jpg"
}
] |
<image>Find m \angle J K L.
|
B
| 65,506 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1059.jpg"
}
] |
<image>If L K = 4, M P = 3, P Q = 6, K J = 2, R S = 6, and L P = 2, find M L.
|
A
| 65,507 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1060.jpg"
}
] |
<image>Find m \widehat L P.
|
C
| 65,508 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1061.jpg"
}
] |
<image>Find x to the nearest hundredth.
|
D
| 65,509 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1062.jpg"
}
] |
<image>Quadrilateral A B C D is a rectangle. m \angle 2 = 40. Find m \angle 8.
|
D
| 65,510 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1063.jpg"
}
] |
<image>Find the measure of \angle 2.
|
C
| 65,511 | null |
C
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1064.jpg"
}
] |
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1065.jpg"
}
] |
<image>The segment is tangent to the circle. Find x.
|
A
| 65,513 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1066.jpg"
}
] |
<image>Trapezoid G H J K has an area of 188.35 square feet. If H J is 16.5 feet, find G K.
|
D
| 65,514 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1067.jpg"
}
] |
<image>Find the value of the variable y in the figure.
|
B
| 65,515 | null |
B
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1068.jpg"
}
] |
<image>Find B D if B F bisects \angle A B C and A C \parallel E D, B A = 6, B C = 7.5, A C = 9, and D E = 9.
|
B
| 65,516 | null |
B
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1069.jpg"
}
] |
<image>Find y.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1070.jpg"
}
] |
<image>Use parallelogram J K L M to find m \angle K J L if J K = 2 b + 3 and J M = 3 a.
|
A
| 65,518 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1071.jpg"
}
] |
<image>Find x.
|
A
| 65,519 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1072.jpg"
}
] |
<image>Find the measure of \angle 2.
|
B
| 65,520 | null |
B
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1073.jpg"
}
] |
<image>If \frac { I J } { X J } = \frac { H J } { Y J }, m \angle W X J = 130 and m \angle W Z G = 20, find m \angle J.
|
C
| 65,521 | null |
C
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1074.jpg"
}
] |
<image>Find the area of the figure. Round to the nearest hundredth, if necessary.
|
B
| 65,522 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1075.jpg"
}
] |
<image>P is the incenter of \triangle A E C. Find m \angle D E P.
|
A
| 65,523 | null |
A
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1076.jpg"
}
] |
<image>The perimeter of this polygon is 60 centimeters. Find the length of the side of the polygon.
|
A
| 65,524 | null |
A
|
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1077.jpg"
}
] |
<image>Find x. Assume that segments that appear to be tangent are tangent.
|
B
| 65,525 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1078.jpg"
}
] |
<image>In the figure, m \angle 4 = 104, m \angle 14 = 118. Find the measure of \angle 2.
|
C
| 65,526 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1079.jpg"
}
] |
<image>Express the ratio of \cos A as a decimal to the nearest hundredth.
|
C
| 65,527 | null |
C
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1080.jpg"
}
] |
<image>Find m \widehat B C.
|
C
| 65,528 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1081.jpg"
}
] |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
B
| 65,529 | null |
B
|
[
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",
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1083.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
| 65,531 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1084.jpg"
}
] |
<image>Suppose \angle 4 and \angle 5 form a linear pair. If m \angle 1 = 2 x, m \angle 2 = 3 x - 20, and m \angle 3 = x - 4, what is m \angle 3?
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| 65,532 | null |
C
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1085.jpg"
}
] |
<image>In \odot S, m \angle T S R = 42. Find m \widehat E R T.
|
D
| 65,533 | null |
D
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1086.jpg"
}
] |
<image>In the figure, m \angle 1 = 53. Find the measure of \angle 7.
|
D
| 65,534 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1087.jpg"
}
] |
<image>Express the ratio of \sin V as a decimal to the nearest hundredth.
|
A
| 65,535 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1088.jpg"
}
] |
<image>Find m \widehat G H.
|
D
| 65,536 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1089.jpg"
}
] |
<image>T V is tangent to the circle, and R and S are points on the circle. What is the value of x to the nearest tenth?
|
B
| 65,537 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1090.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 P Y.
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C
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[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/1091.jpg"
}
] |
<image>Find the length of \widehat B C.
|
A
| 65,539 | null |
A
|
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