Datasets:
tomyoon2
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OPD_geo3k

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<image>Chords $\overline{A C}$ and $\overline{D F}$ are equidistant from the center. If the radius of $\odot G$ is 26 find $A C$
48
geo3k_test_0
<image>Find the length of $\widehat {ZY}$. Round to the nearest hundredth.
7.85
geo3k_test_1
<image>Find the area of the figure to the nearest tenth.
31.1
geo3k_test_2
<image>If pentagons $A B C D E$ and $P Q R S T$ are similar, find $S R$
4 \frac { 4 } { 11 }
geo3k_test_3
<image>In $\triangle PQR$, $\overline{ST} \| \overline{R Q}$ . If $PS=12.5$, $SR=5$, and $PT=15$, find $TQ$.
6
geo3k_test_4
<image>$a=14, b=48,$ and $c=50$ find $cosA$
0.96
geo3k_test_5
<image>$\overline{A C}$ is a diagonal of rhombus $A B C D$ If $m \angle C D E$ is $116,$ what is $m \angle A C D ?$
58
geo3k_test_6
<image>Use parallelogram $JKLM$ to find $m \angle KLM$
71
geo3k_test_7
<image>Find the perimeter of the parallelogram.
78
geo3k_test_8
<image>Find x.
5 \sqrt { 3 }
geo3k_test_9
<image>Find $PS$.
9
geo3k_test_10
<image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 8$.
120
geo3k_test_11
<image>Find x
4
geo3k_test_12
<image>Quadrilateral $ABDC$ is a rectangle. If $m\angle1 = 38$, find $m \angle 2$
52
geo3k_test_13
<image>What is the value of $x$ below to the nearest tenth?
22.5
geo3k_test_14
<image>Find $m\angle W$
108
geo3k_test_15
<image>Express the ratio of $\cos B$ as a decimal to the nearest hundredth.
0.38
geo3k_test_16
<image>Find the measure of $JK$.
31
geo3k_test_17
<image>For trapezoid $T R S V, M$ and $N$ are midpoints of the legs. If $T R=32$ and $M N=25,$ find $V S$
18
geo3k_test_18
<image>Find $x$ so that each quadrilateral is a parallelogram.
4
geo3k_test_19
<image>Find $WR$.
8
geo3k_test_20
<image>Find the value of $x$
74
geo3k_test_21
<image>Find the area of the trapezoid.
678.5
geo3k_test_22
<image>The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find ZX if $\overline{A Z} \cong \overline{C W}$ and $C W=2$.
3
geo3k_test_23
<image>Find x
6 \sqrt { 6 }
geo3k_test_24
<image>Find x. Round to the nearest tenth.
52.5
geo3k_test_25
<image>Find $y$ so that each quadrilateral is a parallelogram.
31
geo3k_test_26
<image>Find $K J$ if $G J=8, G H=12,$ and $H I=4$
2
geo3k_test_27
<image>Find $QP$.
3.6
geo3k_test_28
<image>In $\odot T, Z V=1,$ and $T W=13$. Find XY
10
geo3k_test_29
<image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 1$.
38
geo3k_test_30
<image>The two polygons are similar. Find UT.
22.5
geo3k_test_31
<image>Find the measure of $∠A$ to the nearest tenth.
41.8
geo3k_test_32
<image>Find $m \angle H$.
31
geo3k_test_33
<image>Find $x$.
90
geo3k_test_34
<image>$m \widehat{AC}=160$ and $m \angle BEC=38$. What is $m \angle AEB$?
42
geo3k_test_35
<image>A plane travels from Des Moines to Phoenix, on to Atlanta, and back to Des Moines, as shown below. Find the distance in miles from Phoenix to Atlanta if the total trip was 3482 miles.
1591
geo3k_test_36
<image>Find $x$.
123
geo3k_test_37
<image>Solve for x in the figure. Round to the nearest tenth if necessary.
3
geo3k_test_38
<image>In the figure, $\overline{A D}$ is perpendicular to $\overline{B C}$ and $\overline{A B}$ is perpendicular to $\overline{A C}$. What is $B C ?$
20
geo3k_test_39
<image>Find the area of the figure. Round to the nearest tenth.
30.2
geo3k_test_40
<image>If $c=5,$ find $b$
2.5 \sqrt { 3 }
geo3k_test_41
<image>Find $z$.
12
geo3k_test_42
<image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth.
216.6
geo3k_test_43
<image>Find $m \angle 2$.
39
geo3k_test_44
<image>Find x. Round to the nearest tenth.
5.8
geo3k_test_45
<image>$m$ is the perpendicular bisector of $XZ$, $WZ=14.9$. Find $WX$.
14.9
geo3k_test_46
<image>$m∠9 = 2x - 4$, $m∠10 = 2x + 4$. Find the measure of $∠10$.
94
geo3k_test_47
<image>Find $JL$.
14
geo3k_test_48
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
91.9
geo3k_test_49
<image>Find x.
15
geo3k_test_50
<image>Find $ST$.
19
geo3k_test_51
<image>Find x.
18 \sqrt { 6 }
geo3k_test_52
<image>Find $EG$ if $G$ is the incenter of $\triangle ABC$.
5
geo3k_test_53
<image>Find $x$ so that each quadrilateral is a parallelogram.
13
geo3k_test_54
<image>Find $x$.
3
geo3k_test_55
<image>Find x.
1
geo3k_test_56
<image>Tangent $\overline{M P}$ is drawn to $\odot O .$ Find $x$ if $M O=20$
12
geo3k_test_57
<image>In H, the diameter is $18$, $LM = 12$, and $m \widehat {LM} = 84$. Find $HP$. Round to the nearest hundredth.
6.71
geo3k_test_58
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
21.6
geo3k_test_59
<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 $m \widehat{C F}$
44
geo3k_test_60
<image>If $c=5,$ find $a$
2.5
geo3k_test_61
<image>Find x.
5
geo3k_test_62
<image>Find the length of $\widehat {AB}$. Round to the nearest hundredth.
9.77
geo3k_test_63
<image>In the figure, line $l$ is parallel to line $m$. Line $n$ intersects both $l$ and $m$. Which of the following lists includes all of the angles that are supplementary to $ ∠1 $?
angles 2,3, 6, and 7
geo3k_test_64
<image>In the figure, $m∠3 = 43$. Find the measure of $\angle 11$.
43
geo3k_test_65
<image>If AB || DC, find x.
115
geo3k_test_66
<image>Find the measure of $\angle 2$.
33
geo3k_test_67
<image>The diagram shows the layout of Elm, Plum, and Oak streets. Find the value of $x.$
125
geo3k_test_68
<image>Find $y$.
5 \sqrt { 5 }
geo3k_test_69
<image>In $\odot P, m \angle M P L=65$ and $\overline{N P} \perp \overline{P L}$. Find $m \widehat{N M}$
25
geo3k_test_70
<image>Each pair of polygons is similar. Find y
5
geo3k_test_71
<image>Use parallelogram $JKLM$ to find $m \angle KJL$.
30
geo3k_test_72
<image>Find the area of the figure. Round to the nearest tenth if necessary.
63
geo3k_test_73
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
76
geo3k_test_74
<image>Trapezoid $GHJK$ has an area of 75 square meters. Find the height.
5
geo3k_test_75
<image>Find x
58
geo3k_test_76
<image>Find x. Round to the nearest tenth.
30.2
geo3k_test_77
<image>For the pair of similar figures, find the area of the green figure.
9
geo3k_test_78
<image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$ Find $m\widehat{C D}$
80
geo3k_test_79
<image>Quadrilateral EFGH is a rectangle. If FK = 32 feet, find EG.
64
geo3k_test_80
<image>Find $x$.
7
geo3k_test_81
<image>In the figure, $m \angle 1=4 p+15$, $m \angle 3=3 p-10$ and $m \angle 4=6 r+5 $. Find the value of $p$.
25
geo3k_test_82
<image>Find x.
\sqrt { 21 }
geo3k_test_83
<image>Find $BC$.
13
geo3k_test_84
<image>Find x.
24 \sqrt { 3 }
geo3k_test_85
<image>If $ZP = 4x - 9$ and $PY = 2x + 5$, find $ZX$.
38
geo3k_test_86
<image>Find y
6 \sqrt { 3 }
geo3k_test_87
<image>Find the measure of $∠T$ to the nearest tenth.
21.8
geo3k_test_88
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
7.2
geo3k_test_89
<image>$\overline{AB} \cong \overline{DF}$. Find $x$.
2
geo3k_test_90
<image>Find $m \angle WYZ$.
23
geo3k_test_91
<image>Find the area of the shaded region.
22.1
geo3k_test_92
<image>Find x
2
geo3k_test_93
<image>In $\odot O, \overline{E C}$ and $\overline{A B}$ are diameters, and $\angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A$ Find $m\widehat{A D}$
135
geo3k_test_94
<image>Find $x$ if $AE=3, AB=2$, $BC=6,$ and $ED=2x-3$
6
geo3k_test_95
<image>Find $A E$ if $A B=12, A C=16,$ and $E D=5$
15
geo3k_test_96
<image>Find $x$ in the given parallelogram
38
geo3k_test_97
<image>Find x
115
geo3k_test_98
<image>Find the area of the figure. Round to the nearest tenth if necessary.
129.9
geo3k_test_99