Datasets:
tomyoon2
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OPD_geo3k

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<image>Find $a$ in the given parallelogram
9
geo3k_test_100
<image>Find $m\angle B$
120
geo3k_test_101
<image>Find GH in the kite
\sqrt { 369 }
geo3k_test_102
<image>Find the value of the variable $x$ in the figure.
125
geo3k_test_103
<image>Refer to the figure at the right. Find the value of $m ∠FCE$ if $ p \parallel q $.
105
geo3k_test_104
<image>What is the measure of $\angle B$ if $m \angle A=10 ?$
30
geo3k_test_105
<image>Express the ratio of $\cos N$ as a decimal to the nearest hundredth.
0.38
geo3k_test_106
<image>Find $m \angle R$
29.1
geo3k_test_107
<image>Find $x$.
8
geo3k_test_108
<image>Find the area of the figure. Round to the nearest tenth.
50.2
geo3k_test_109
<image>Find y.
21 \sqrt { 3 }
geo3k_test_110
<image>Find the area of the shaded sector. Round to the nearest tenth.
182.6
geo3k_test_111
<image>$\triangle K L N$ and $\triangle L M N$ are isosceles and $m \angle J K N=130$. Find the measure of $\angle J$.
106
geo3k_test_112
<image>Find x.
12
geo3k_test_113
<image>$ABCD$ is a rhombus. If $PB = 12$, $AB = 15$, and $m \angle ABD = 24$, Find $m\angle BDA$
24
geo3k_test_114
<image>Find $y$.
12
geo3k_test_115
<image>Find the value of $x$ in each diagram
68
geo3k_test_116
<image>Find $m \angle RST$.
55
geo3k_test_117
<image>$∠6$ and $∠8$ are complementary, $m∠8 = 47$. Find the measure of $\angle 7$.
90
geo3k_test_118
<image>Find the measure of $m\angle 1$. Assume that segments that appear tangent are tangent.
129
geo3k_test_119
<image>Let $\overline{G H}$ be the median of $R S B A .$ Find $G H$
62
geo3k_test_120
<image>Use parallelogram PQRS to find $QP$
5
geo3k_test_121
<image>Quadrilateral $WXYZ$ is inscribed in $\odot V$. Find $m \angle X$.
120
geo3k_test_122
<image>Find the height of the parallelogram given its area with 2000 square units.
40
geo3k_test_123
<image>Find $m \angle A$ of quadrilateral ABCD
135
geo3k_test_124
<image>Find y
10
geo3k_test_125
<image>Find the measure of the altitude drawn to the hypotenuse.
4 \sqrt { 3 }
geo3k_test_126
<image>Find the area of the shaded region. Round to the nearest tenth.
157.1
geo3k_test_127
<image>Find x. Round to the nearest tenth.
30.7
geo3k_test_128
<image>Find $y$ in each figure.
6
geo3k_test_129
<image>Find $m \angle S$.
34
geo3k_test_130
<image>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠13$.
55
geo3k_test_131
<image>Find x.
3 \sqrt { 35 }
geo3k_test_132
<image>Quadrilateral EFGH is a rectangle. If $m \angle HGE = 13$, find $m\angle FGE$.
77
geo3k_test_133
<image>Find x in the parallelogram
37
geo3k_test_134
<image>Find the side length in isosceles triangle $DEF$.
11
geo3k_test_135
<image>Find the length of $\widehat {JK}$. Round to the nearest hundredth.
13.74
geo3k_test_136
<image>Use parallelogram to find $b$
11
geo3k_test_137
<image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find MN
12
geo3k_test_138
<image>Find $x$. Round to the nearest tenth.
14.1
geo3k_test_139
<image>Find the area of the rhombus.
132
geo3k_test_140
<image>Find TX if $E X=24$ and $D E=7$
32
geo3k_test_141
<image>Find $m \widehat {LP}$.
150
geo3k_test_142
<image>Express the ratio of $\sin N$ as a decimal to the nearest hundredth.
0.92
geo3k_test_143
<image>Find x.
1
geo3k_test_144
<image>Find the area of the figure. Round to the nearest hundredth, if necessary.
4.8
geo3k_test_145
<image>Find $x$.
3.5
geo3k_test_146
<image>Use parallelogram ABCD to find $m\angle ADC$
128
geo3k_test_147
<image>Find the measure of $\angle 3$ if $\overline{A B} \perp \overline{B C}$.
76
geo3k_test_148
<image>In $\triangle DEF, m \angle E=108, m \angle F=26$, and $f=20$, Find $d$ to the nearest whole number.
33
geo3k_test_149
<image>Find $y$ so that each quadrilateral is a parallelogram.
4
geo3k_test_150
<image>Find $m \angle 4$.
33
geo3k_test_151
<image>Find $cos C$
\frac { 4 } { 5 }
geo3k_test_152
<image>In rhombus $A B C D, m \angle D A B=2, m \angle A D C$ and $C B=6$. Find $m \angle A C D$
60
geo3k_test_153
<image>Find AB
10
geo3k_test_154
<image>Find $x$ in the figure.
14
geo3k_test_155
<image>Circle $O$ has a radius of 13 inches. Radius $\overline{O B}$ is perpendicular to chord $\overline{C D}$ which is 24 inches long. If $m \widehat{C D}=134,$ find $m \widehat{C B}$
67
geo3k_test_156
<image>In $\odot M$, $FL=24,HJ=48$, and $m \widehat {HP}=65$. Find $FG$.
48
geo3k_test_157
<image>Cut four congruent triangles off the corners of a rectangle to make an octagon. What is the area of the octagon?
528
geo3k_test_158
<image>Find $m\angle A$
60
geo3k_test_159
<image>Use parallelogram JKLM to find $m \angle KJL$ if $J K=2 b+3$ and $J M=3 a$.
30
geo3k_test_160
<image>Find x.
\frac { 17 } { 2 } \sqrt { 3 }
geo3k_test_161
<image>Find $XZ$.
34
geo3k_test_162
<image>Find $XW$.
12
geo3k_test_163
<image>Find x so that $GJ \parallel FK$. $G H=x+3.5, H J=x-8.5, F H=21, H K=7$.
14.5
geo3k_test_164
<image>In $\odot P, m \angle M P L=65$ and $\overline{N P} \perp \overline{P L}$. Find $m \widehat{N J K}$
155
geo3k_test_165
<image>A square is inscribed in a circle having a radius of $6$ inches. Find the length of each side of the square.
6 \sqrt 2
geo3k_test_166
<image>One diagonal of a rhombus is twice as long as the other diagonal. If the area of the rhombus is 169 square millimeters, what are the lengths of the diagonals?
26
geo3k_test_167
<image>Find x
9
geo3k_test_168
<image>If $AB=12,AC=16$, and $ED=5$, find $AE$.
15
geo3k_test_169
<image>Find $x$ so that $\overline{BE}$ and $\overline{AD}$ are perpendicular.
10
geo3k_test_170
<image>Find DE
9
geo3k_test_171
<image>Find the area of the shaded region formed by the circle and regular polygon. Round to the nearest tenth.
76.4
geo3k_test_172
<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 7$.
64
geo3k_test_173
<image>Find $BC$.
9
geo3k_test_174
<image>Find $m \angle 1$.
37.5
geo3k_test_175
<image>Express the ratio of $\sin P$ as a decimal to the nearest hundredth.
0.88
geo3k_test_176
<image>Find $x$. $A=357$ in$^2$.
21
geo3k_test_177
<image>Find $x$ so that $a ∥ b$.
14
geo3k_test_178
<image>$\overline{GJ}$ is a diameter of $\odot K$. Find $m \widehat {GLJ}$.
180
geo3k_test_179
<image>Find $C F$ if $\overline{B F}$ bisects $\angle A B C$ and $\overline{A C} \| \overline{E D}, B A=6, B C=7.5$, $A C=9,$ and $D E=9$
5
geo3k_test_180
<image>Find $m \angle K$
100
geo3k_test_181
<image>Find the value of the variable $y$ in the figure.
50
geo3k_test_182
<image>Find the value of $t$ in the parallelogram.
7
geo3k_test_183
<image>Find the perimeter of the triangle. Round to the nearest hundredth.
8.73
geo3k_test_184
<image>The segment is tangent to the circle. Find the value of $x$.
3
geo3k_test_185
<image>Find the area of the shaded region. Round to the nearest tenth.
58.9
geo3k_test_186
<image>Find the measure of $m \widehat{YXZ}$.
166
geo3k_test_187
<image>Find x.
14
geo3k_test_188
<image>Find $y$.
2
geo3k_test_189
<image>Find x.
8 \sqrt { 5 }
geo3k_test_190
<image>Find y.
48
geo3k_test_191
<image>Use parallelogram WXYZ to find $m\angle XYZ$
105
geo3k_test_192
<image>Find $x$.
9.5
geo3k_test_193
<image>Find the measure of $m\angle 2$. Assume that segments that appear tangent are tangent.
157.5
geo3k_test_194
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
64
geo3k_test_195
<image>Quadrilateral DEFG is a rectangle. If $m \angle EFD = 2x - 3$ and $m \angle DFG = x + 12$, find $m \angle EFD$.
51
geo3k_test_196
<image>Find y
4 \sqrt { 2 }
geo3k_test_197
<image>Circle $O$ has a radius of 13 inches. Radius $\overline{O B}$ is perpendicular to chord $\overline{C D}$ which is 24 inches long. Find OX
5
geo3k_test_198
<image>Find the area of $▱ JKLM$.
24
geo3k_test_199