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<image>The Caption of this geometric diagram is:Find the measure of \angle 3.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
38
48
<image>The Caption of this geometric diagram is:Find the length of line segment PTPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
\frac { 20 } { 3 }
238
<image>The Caption of this geometric diagram is:The area $A$ of the shaded region is given. Find the value of $x$. $A = 66$ cm$^2$ .Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
13.0
250
<image>The Caption of this geometric diagram is:$arc XWY \cong arc XYT$. Find the value of $x$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
5
283
<image>The Caption of this geometric diagram is:${HK}$ and ${IG}$ are diameters of $\odot L$. Find the $measure of arc {LIJ}$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
270
300
<image>The Caption of this geometric diagram is:Find the value of zPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
\frac { 40 } { 3 }
310
<image>The Caption of this geometric diagram is:If $\frac{IJ}{XJ}=\frac{HJ}{YJ}, measure of \angle WXJ=130$ and $measure \angle WZG=20,$ find the measure of \angle YIZPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
50
360
<image>The Caption of this geometric diagram is:Find the value of xPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
10 \sqrt { 3 }
386
<image>The Caption of this geometric diagram is:Find the value of z.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
6 \sqrt { 5 }
408
<image>The Caption of this geometric diagram is:Find the length of $arc {{INW}}$ if $\triangle {IWN}$ is equilateral and $WN=5$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
\frac { 5 } { 3 } \pi
640
<image>The Caption of this geometric diagram is:Find the value of $h$ in the triangle.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
8
665
<image>The Caption of this geometric diagram is:Find the value of xPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
58
678
<image>The Caption of this geometric diagram is:Find the value of $x$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
3
713
<image>The Caption of this geometric diagram is:Find the value of y.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
16 \sqrt { 5 }
716
<image>The Caption of this geometric diagram is:Find the value of x. Assume that any segment that appears to be tangent is tangent.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
10
726
<image>The Caption of this geometric diagram is:Find the value of x to the nearest tenth. Assume that segments that appear to be tangent are tangent.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
7.2
757
<image>The Caption of this geometric diagram is:In $\triangle CDF$, $K$ is the centroid and $DK=16$. Find the length of $CD$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
18
781
<image>The Caption of this geometric diagram is:Find $m \angle K$Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
100
786
<image>The Caption of this geometric diagram is:Find the measure of \angle NCLPlease provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
120
815
<image>The Caption of this geometric diagram is:Find the value of x. Round to the nearest tenth, if necessary.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
3
816
<image>The Caption of this geometric diagram is:Find the value of $t$ in the parallelogram.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
7
819
<image>The Caption of this geometric diagram is:Find the value of x to the nearest tenth. Assume that segments that appear to be tangent are tangent.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
21.6
921
<image>The Caption of this geometric diagram is:In the figure, $m ∠9 = 75$. Find the measure of $\angle 6$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
105
938
<image>The Caption of this geometric diagram is:Find the value of $x$.Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags.
12.75
951
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