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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 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 $x$. $A = 66$ 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:$\overline{WTY} \cong \overline{TWY}$. Find $x$.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:$\overline{HK}$ and $\overline{IG}$ are diameters of $\odot L$. Find $m \widehat {IHJ}$.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 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 $\frac{I J}{X J}=\frac{HJ}{YJ}, m \angle W X J=130$ and $m \angle WZG=20,$ find $m \angle YIZ$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.
50
360
<image>The Caption of this geometric diagram is:Find 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 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 $\widehat{\mathrm{WN}}$ if $\triangle \mathrm{IWN}$ is equilateral and $W N=5$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 $h$ 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 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 $x$.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 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 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 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 $CD$.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 $m \angle N C L$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.
120
815
<image>The Caption of this geometric diagram is:Find 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 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 $x$.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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