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[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/248.jpg" } ]
<image>如图,在△ABC中,AB=1,AC=2,现将△ABC绕点C顺时针旋转90°得到△A′B′C′,连接AB′,并有AB′=3,则∠A′的度数为() Choices: (A) 125° (B) 130° (C) 135° (D) 140°
135°
28,727
null
135°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/510.jpg" } ]
<image>如图,在⊙O中,弦BC=1.点A是圆上一点,且∠BAC=30°,则⊙O的半径是() Choices: (A) 1 (B) 2 (C) √{3} (D) √{5}
√{3}
28,989
null
√{3}
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/559.jpg" } ]
<image>如图,一块直角三角板ABC的斜边AB与量角器的直径重合,点D对应54°,则∠BCD的度数为() Choices: (A) 54° (B) 27° (C) 63° (D) 36°
63°
29,038
null
63°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1051.jpg" } ]
<image>如图,在▱ABCD中,AB=6,AD=9,∠BAD的平分线交DC的延长线于点E,CE的长为() Choices: (A) 2 (B) 3 (C) 4 (D) 2.5
2.5
29,530
null
2.5
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1158.jpg" } ]
<image>如图,线段AB过圆心O,交⊙O于点A、C,∠B=30°,直线BD与⊙O切于点D,则∠ADB的度数是() Choices: (A) 150° (B) 135° (C) 120° (D) 100°
120°
29,637
null
120°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1159.jpg" } ]
<image>如图所示,直线MN与△ABC的外接圆相切于点A,AC平分∠MAB,如果AN=6,NB=4,那么弦AC的长为() Choices: (A) 4 (B) 5 (C) 6 (D) 9
5
29,638
null
5
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1160.jpg" } ]
<image>如图,在Rt△ABC中,∠BAC=90°,∠ABC=30°,Q是AB上的一点,⊙O分别与AC、BC相切于点A、D,与AB交于另一点E,若BE=2,则切线CD的长为() Choices: (A) √{3} (B) 2√{3} (C) 3√{3} (D) 6
2√{3}
29,639
null
2√{3}
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1218.jpg" } ]
<image>设BF交AC于点P,AE交DF于点Q.若∠APB=126°,∠AQF=100°,则∠A-∠F=() Choices: (A) 60° (B) 46° (C) 26° (D) 45°
46°
29,697
null
46°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1228.jpg" } ]
<image>把一块直尺与一块含30°的直角三角板如图放置,若∠1=34°,则∠2的度数为() Choices: (A) 114° (B) 124° (C) 116° (D) 126°
124°
29,707
null
124°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1271.jpg" } ]
<image>如图,已知AB=AC=AD,∠CBD=2∠BDC,∠BAC=42°,则∠CAD的度数为()度. Choices: (A) 56 (B) 78 (C) 84 (D) 112
84
29,750
null
84
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1274.jpg" } ]
<image>如图,已知a∥b,小明把三角板的直角顶点放在直线b上,若∠1=35°,则∠2的度数为() Choices: (A) 65° (B) 120° (C) 125° (D) 145°
125°
29,753
null
125°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1552.jpg" } ]
<image>一个钢管放在V形架内,如图是其截面图,O为钢管的圆心.如果钢管的半径为25cm,∠MPN=60°,则OP=() Choices: (A) 50cm (B) 25√{3}cm (C) \frac{50√{3}}{3}cm (D) 50√{3}cm
50cm
30,031
null
50cm
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1553.jpg" } ]
<image>如图,AB是⊙O的直径,若∠AOC=70°,且AD∥OC,则∠AOD的度数为() Choices: (A) 70° (B) 60° (C) 50° (D) 40°
40°
30,032
null
40°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1575.jpg" } ]
<image>如图,已知⊙C的半径为2,圆外一点O满足OC=3.5,点P为⊙C上一动点,经过点O的直线l上有两点A、B,且OA=OB,∠APB=90°,l不经过点C,则AB的最小值为() Choices: (A) 2 (B) 2.5 (C) 3 (D) 3.5
3.5
30,054
null
3.5
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1666.jpg" } ]
<image>如图,点B,C,D在⊙O上,若∠BCD=120°,则∠BOD的度数是() Choices: (A) 60° (B) 80° (C) 120° (D) 240°
120°
30,145
null
120°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/1681.jpg" } ]
<image>如图,点A、B、C都是圆O上的点,在四边形ABCO中,∠AOC=140°,则∠B的度数为() Choices: (A) 110° (B) 70° (C) 140° (D) 100°
110°
30,160
null
110°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2054.jpg" } ]
<image>如图,小明设计两个直角,来测量河宽BC,他量得AB=2米,BD=\frac{7}{3}米,CE=9米,则河宽BC为() Choices: (A) \frac{7}{2}米 (B) \frac{17}{2}米 (C) \frac{40}{7}米 (D) 11米
\frac{40}{7}米
30,533
null
\frac{40}{7}米
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2220.jpg" } ]
<image>如图,已知CD是⊙O的直径,过点D的弦DE平行于半径OA,若∠D的度数是50°,则∠C的度数是() Choices: (A) 25° (B) 30° (C) 40° (D) 50°
25°
30,699
null
25°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2420.jpg" } ]
<image>如图,∠BAD=90°,∠ADC=30°,∠BCD=142°,则∠B=() Choices: (A) 12° (B) 20° (C) 22° (D) 42°
22°
30,899
null
22°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2452.jpg" } ]
<image>如图,已知AB=AC=AD,∠CBD=44°,则∠CAD的度数为() Choices: (A) 68° (B) 88° (C) 90° (D) 112°
88°
30,931
null
88°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2792.jpg" } ]
<image>如图,△ABC内接于⊙O,AH⊥BC于点H,若AC=8,AH=6,⊙O的半径OC=5,则AB的值为() Choices: (A) 5 (B) \frac{13}{2} (C) 7 (D) \frac{15}{2}
\frac{15}{2}
31,271
null
\frac{15}{2}
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2840.jpg" } ]
<image>如图,已知AB∥DE,∠ABC=70°,∠CDE=140°,则∠BCD的值为() Choices: (A) 20° (B) 30° (C) 40° (D) 70°
30°
31,319
null
30°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2934.jpg" } ]
<image>如图,AB是⊙O的直径,BC是⊙O的弦,CD切⊙O于点C,∠D=90°,∠A=60°,则∠C等于() Choices: (A) 165° (B) 150° (C) 135° (D) 120°
150°
31,413
null
150°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/2947.jpg" } ]
<image>把直尺、三角尺和圆形螺母按如图所示放置于桌面上,∠CAB=60°,若量出AD=6cm,则圆形螺母的外直径是() Choices: (A) 12cm (B) 24cm (C) 6√{3}cm (D) 12√{3}cm
12√{3}cm
31,426
null
12√{3}cm
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3204.jpg" } ]
<image>如图,已知点M为平行四边形ABCD边AB的中点,线段CM交BD于点E,S△BEM=2,则图中阴影部分的面积为() Choices: (A) 5 (B) 4 (C) 8 (D) 6
8
31,683
null
8
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3380.jpg" } ]
<image>如图,已知AD为△ABC的角平分线,DE∥AB交AC于E,如果\frac{AE}{EC}=\frac{3}{5},那么\frac{AC}{AB}等于() Choices: (A) \frac{3}{5} (B) \frac{5}{3} (C) \frac{8}{5} (D) \frac{3}{2}
\frac{5}{3}
31,859
null
\frac{5}{3}
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3392.jpg" } ]
<image>如图,在四边形ABCD中,∠A=110°,∠B=85°将△BMN沿着MN翻折,得到△FMN,若MF∥AD,FN∥DC,则∠C的度数为() Choices: (A) 70° (B) 80° (C) 90° (D) 100°
80°
31,871
null
80°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3408.jpg" } ]
<image>如图,在梯形ABCD中,AD∥BC,E、F分别是对角线BD、AC的中点,若AD=6cm,BC=18cm,则EF的长为() Choices: (A) 8cm (B) 7cm (C) 6cm (D) 5cm
6cm
31,887
null
6cm
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3420.jpg" } ]
<image>如图,直线a∥b∥c,且a,b之间的距离为1,△ABC和△CDE是两块全等的直角三角形纸板,其中∠ABC=∠CDE=90°,∠BAC=∠DCE=30°,它们的顶点都在平行线上,则b,c之间的距离是() Choices: (A) 1 (B) √{2} (C) √{3} (D) 2
√{3}
31,899
null
√{3}
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3422.jpg" } ]
<image>如图,一把带有60°角的三角尺放在两条平行线间,已知量得平行线间的距离为12cm,三角尺最短边和平行线成45°角,则三角尺斜边的长度为() Choices: (A) 12cm (B) 12√{2}cm (C) 24cm (D) 24√{2}cm
24√{2}cm
31,901
null
24√{2}cm
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3429.jpg" } ]
<image>如图,将一个直角三角形纸片ABC,沿线段CD折叠,使点B落在B′处,若∠ACB′=72°,则∠ACD的度数为() Choices: (A) 9° (B) 10° (C) 12° (D) 18°
31,908
null
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3488.jpg" } ]
<image>如图所示,P是⊙O的弦AB上的一点,AB=10cm,AP=4cm,OP=5cm,则⊙O的半径为cm.() Choices: (A) 5 (B) 7 (C) 6 (D) 6.5
7
31,967
null
7
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3496.jpg" } ]
<image>如图,AB是⊙O的弦,OC⊥AB于H,∠AOC=60°,OH=1,则⊙O的半径为() Choices: (A) √{3} (B) 2 (C) 3 (D) 4
4
31,975
null
4
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3600.jpg" } ]
<image>如图,两条直线被三条平行线所截,若AC=4,CE=6,BD=3,则BF=() Choices: (A) \frac{3}{2} (B) \frac{2}{3} (C) \frac{9}{2} (D) \frac{15}{2}
\frac{15}{2}
32,079
null
\frac{15}{2}
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3735.jpg" } ]
<image>如图,把一个含30°角的直角三角尺的直角顶点放在直尺的一边上,如果∠1=20°,那么∠2的度数为() Choices: (A) 20° (B) 50° (C) 60° (D) 70°
50°
32,214
null
50°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3736.jpg" } ]
<image>如图,在▱ABCD中,点E、F分别在CD、BC的延长线上,AE∥BD,EF⊥BF,∠ABC=60°,EF=3,则AB的长是() Choices: (A) \frac{2}{3} (B) 1 (C) \frac{3}{2} (D) √{3}
√{3}
32,215
null
√{3}
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3740.jpg" } ]
<image>如图,在▱ABCD中,AB=18,AD=12,∠ABC的平分线交CD于点F,交AD的延长线于点E,CG⊥BE,垂足为G,若EF=4,则线段CG的长为() Choices: (A) 2√{35} (B) 6√{3} (C) 4√{10} (D) 8√{2}
8√{2}
32,219
null
8√{2}
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3743.jpg" } ]
<image>如图,已知点M为▱ABCD边AB的中点,线段CM交BD于点E,S~△BEM~=1,则图中阴影部分的面积为() Choices: (A) 2 (B) 3 (C) 4 (D) 5
4
32,222
null
4
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3813.jpg" } ]
<image>如图,在△ABC中,点D、E分别是边AB、AC上的点,DE垂直平分AB,∠C=90°,∠BAC=15°.若BC=3cm,则AE的长度为() Choices: (A) 9cm (B) 6cm (C) 5cm (D) 4cm
6cm
32,292
null
6cm
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3858.jpg" } ]
<image>如图,在▱ABCD中,用直尺和圆规作∠BAD的平分线AG交BC于点E,若BF=12,AB=10,则AE的长为() Choices: (A) 8 (B) 12 (C) 16 (D) 20
16
32,337
null
16
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3874.jpg" } ]
<image>在△ABC中,点M为BC的中点,AD平分∠BAC,且BD⊥AD于点D,延长BD交AC于点N若AB=4,DM=1,则AC的长为() Choices: (A) 5 (B) 6 (C) 7 (D) 8
6
32,353
null
6
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/3937.jpg" } ]
<image>如图,PA、PB是半径为1的⊙O的两条切线,点A、B分别为切点,∠APB=60°,OP与弦AB交于点C,与⊙O交于点D.则图中阴影部分的面积是() Choices: (A) \frac{1}{3}π (B) \frac{1}{3}π-\frac{√{3}}{4} (C) \frac{1}{6}π (D) \frac{1}{6}π-\frac{√{3}}{4}
\frac{1}{6}π
32,416
null
\frac{1}{6}π
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/4159.jpg" } ]
<image>如图,四边形ABCD中,AB=4,BC=6,AB⊥BC,BC⊥CD,E为AD的中点,F为线段BE上的点,且FE=\frac{1}{3}BE,则点F到边CD的距离是() Choices: (A) 3 (B) \frac{10}{3} (C) 4 (D) \frac{14}{3}
4
32,638
null
4
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/4245.jpg" } ]
<image>如图,在平行四边形ABCD中,E为AD的中点,△DEF的周长为1,则△BCF的周长为() Choices: (A) 1 (B) 2 (C) 3 (D) 4
4
32,724
null
4
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/4300.jpg" } ]
<image>如图,量角器上有40°和60°两个刻度点C、D,O是原点,OB是0刻度线,那么∠DAC的度数是() Choices: (A) 10° (B) 12° (C) 15° (D) 20°
10°
32,779
null
10°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/4327.jpg" } ]
<image>如图,已知D、E、F分别为等腰△ABC边BC、CA、AB上的点,如果AB=AC,∠FDE=∠B,BD=2,CD=3,CE=4,AE=1,那么AF的长为() Choices: (A) 3.5 (B) 4 (C) 4.5 (D) 5
3.5
32,806
null
3.5
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/4376.jpg" } ]
<image>如图,四边形ABCD是矩形,点E和点F是矩形ABCD外两点,AE⊥CF于点H,AD=3,DC=4,DE=\frac{5}{2},∠EDF=90°,则DF长是() Choices: (A) \frac{15}{8} (B) \frac{11}{3} (C) \frac{10}{3} (D) \frac{16}{5}
\frac{10}{3}
32,855
null
\frac{10}{3}
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/4378.jpg" } ]
<image>如图,半径为5的⊙A中,弦BC,ED所对的圆心角分别是∠BAC,∠EAD,已知DE=6,∠BAC+∠EAD=180°,则弦BC的长等于() Choices: (A) √ (B) √ (C) 8 (D) 6
8
32,857
null
8
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/4389.jpg" } ]
<image>如图,菱形ABCD和菱形ECGF,且B、C、G共线,若菱形ABCD和菱形ECGF的边长分别为4和6,∠A=120°,则图中阴影部分的面积是() Choices: (A) √{3} (B) 4 (C) 2√{3} (D) 4√{3}
4√{3}
32,868
null
4√{3}
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/GeoQA/4451.jpg" } ]
<image>如图,已知AB=AC=AD,∠CBD=2∠BDC,∠BAC=42°,则∠CAD的度数为() Choices: (A) 110° (B) 88° (C) 84° (D) 66°
84°
32,930
null
84°
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/58.jpg" } ]
<image>Find the measure of \angle R to the nearest tenth.
D
32,993
null
D
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/61.jpg" } ]
<image>Equilateral pentagon P Q R S T is inscribed in \odot U. Find m \angle P T S.
D
32,996
null
D
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/101.jpg" } ]
<image>In the figure, \triangle A B C is isosceles, \triangle D C E is equilateral, and \triangle F C G is isosceles. Find the measure of the \angle 3 at vertex C.
B
33,036
null
B
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/244.jpg" } ]
<image>In \odot F, G K = 14 and m \widehat G H K = 142. Find m \widehat K M.
B
33,179
null
B
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/316.jpg" } ]
<image>If R T = 15, Q P = 21, and P T = 8, find T S.
C
33,251
null
C
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/634.jpg" } ]
<image>Find B D.
C
33,569
null
C
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/690.jpg" } ]
<image>Find m \angle T Q R.
C
33,625
null
C
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/778.jpg" } ]
<image>Find x.
C
33,713
null
C
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/1023.jpg" } ]
<image>What is the value of x if m \widehat N R = 62 and m \widehat N P = 108?
C
33,958
null
C
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/1083.jpg" } ]
<image>If P R \parallel K L, K N = 9, L N = 16, P M = 2 K P, find K M.
B
34,018
null
B
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/1113.jpg" } ]
<image>If A C = 14, B C = 8, and A D = 21, find E D.
B
34,048
null
B
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/1259.jpg" } ]
<image>Find the measure of \angle 4 if m \angle D G F = 53 and m \angle A G C = 40.
B
34,194
null
B
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/1263.jpg" } ]
<image>In \odot P, J K = 10 and \widehat J K L = 134. Find P Q. Round to the nearest hundredth.
B
34,198
null
B
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/1390.jpg" } ]
<image>Find the perimeter of parallelogram A B C D to the nearest tenth.
C
34,325
null
C
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/1426.jpg" } ]
<image>Use parallelogram A B C D to find m \angle A D C.
D
34,361
null
D
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/1467.jpg" } ]
<image>The two polygons are similar. Find U T.
C
34,402
null
C
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/1550.jpg" } ]
<image>Find A D.
C
34,485
null
C
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/1598.jpg" } ]
<image>The diameters of \odot A, \odot B, and \odot C are 10, 30 and 10 units, respectively. Find A C if A Z \cong C W and C W = 2.
D
34,533
null
D
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geometry3K/1722.jpg" } ]
<image>Find x. Round to the nearest tenth.
B
34,657
null
B
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/TabMWP/2301.jpg" } ]
<image>Mrs. Austin hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2015 and 2016?
-11
37,034
null
-11
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/TabMWP/4028.jpg" } ]
<image>A shipping company keeps track of the number of boxes in each shipment they send out. How many shipments had at least 61 boxes?
11
38,761
null
11
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/TabMWP/4576.jpg" } ]
<image>Emilia kept track of the number of games her soccer team won each year. According to the table, what was the rate of change between 2017 and 2018?
-5
39,309
null
-5
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/TabMWP/7263.jpg" } ]
<image>Look at the following schedule. Spencer got on the bus at the school at 10.30 A.M. What time will he get to the post office?
12:45 P.M.
41,996
null
12:45 P.M.
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/TabMWP/7435.jpg" } ]
<image>A business magazine surveyed its readers about their commute times. How many commutes are at least 61 minutes?
6
42,168
null
6
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/TabMWP/10336.jpg" } ]
<image>Hannah counted the number of problems on each of her tests. How many tests had at least 36 problems but fewer than 61 problems?
6
45,069
null
6
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/TabMWP/12278.jpg" } ]
<image>While writing a paper on making decisions in groups, Kylie researched the size of a number of committees. How many committees have at least 19 members but fewer than 42 members?
2
47,011
null
2
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/TabMWP/12544.jpg" } ]
<image>Look at the following schedule. Marvin is at Lee Street at 11.15 A.M. How soon can he get to Church Boulevard?
12:45 P.M.
47,277
null
12:45 P.M.
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/TabMWP/13687.jpg" } ]
<image>For a science fair project, Hayley tracked the temperature each day. How many temperature readings were at least 13°C but less than 43°C?
17
48,420
null
17
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/TabMWP/15930.jpg" } ]
<image>Mia spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Wednesday and Thursday?
-7
50,663
null
-7
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/TabMWP/17177.jpg" } ]
<image>Ling, a candy store employee, placed peppermint candies into jars of various sizes. How many jars had fewer than 80 peppermint candies?
20
51,910
null
20
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/TabMWP/17855.jpg" } ]
<image>For a science fair project, Leslie tracked the temperature each day. How many temperature readings were at least 25°C but less than 44°C?
11
52,588
null
11
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/TabMWP/18367.jpg" } ]
<image>Karen's P.E. class participated in a push-up competition, and Karen wrote down how many push-ups each person could do. How many people did at least 45 push-ups but fewer than 81 push-ups?
3
53,100
null
3
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/TabMWP/18986.jpg" } ]
<image>Fans of the Morristown baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2011 and 2012?
-11
53,719
null
-11
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/TabMWP/20081.jpg" } ]
<image>The employee at the department store counted the number of ties on each tie rack. How many racks have at least 30 ties but fewer than 70 ties?
15
54,814
null
15
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/Geos/28.jpg" } ]
<image>Given tangent AC to the circle shown at the right. Find the measure of the arc designated by x. Choices: (A) 25 (B) 50 (C) 100 (D) 260 (E) None
260
57,340
null
260
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/227.jpg" } ]
<image>The chocolate pie in the girl's hand is liked by which other category of people?
adult
57,596
null
adult
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/271.jpg" } ]
<image>What zoo are these giraffes from?
san diego
57,640
null
san diego
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/532.jpg" } ]
<image>What league is this team?
major league
57,901
null
major league
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/562.jpg" } ]
<image>How much water does this require to grow?
gallon
57,931
null
gallon
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/599.jpg" } ]
<image>What is this meeting about?
politic
57,968
null
politic
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/683.jpg" } ]
<image>What effect would be experienced from too much of the beverage?
drunk
58,052
null
drunk
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/828.jpg" } ]
<image>What is the common name of the orange items seen here?
noodle
58,197
null
noodle
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/852.jpg" } ]
<image>What kind of trick is the skateboarder performing?
wall
58,221
null
wall
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/981.jpg" } ]
<image>What kind of allergies can people have to this dessert?
peanut
58,350
null
peanut
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/1180.jpg" } ]
<image>How is this food prepared?
baked in oven
58,549
null
baked in oven
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/1211.jpg" } ]
<image>What does this animal eat?
mice
58,580
null
mice
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/1219.jpg" } ]
<image>What is the main ingredient in the soup?
broth
58,588
null
broth
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/1645.jpg" } ]
<image>What is it said that these animals never do?
forget
59,014
null
forget
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/2436.jpg" } ]
<image>In what year would you commonly see this plane flying?
1940
59,805
null
1940
[ { "bytes": null, "path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/images/OKQA/2638.jpg" } ]
<image>What type of plane is this?
boeing
60,007
null
boeing