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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
Geometry
Geometry3K
test
1
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<image>Find the length of $\widehat {ZY}$. Round to the nearest hundredth.
7.85
Geometry
Geometry3K
test
2
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
<image>Find the area of the figure to the nearest tenth.
31.1
Geometry
Geometry3K
test
3
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<image>If pentagons $A B C D E$ and $P Q R S T$ are similar, find $S R$
4 \frac { 4 } { 11 }
Geometry
Geometry3K
test
4
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<image>In $\triangle PQR$, $\overline{ST} \| \overline{R Q}$ . If $PS=12.5$, $SR=5$, and $PT=15$, find $TQ$.
6
Geometry
Geometry3K
test
5
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
<image>$a=14, b=48,$ and $c=50$ find $cosA$
0.96
Geometry
Geometry3K
test
6
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<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
Geometry
Geometry3K
test
7
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<image>Use parallelogram $JKLM$ to find $m \angle KLM$
71
Geometry
Geometry3K
test
8
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
<image>Find the perimeter of the parallelogram.
78
Geometry
Geometry3K
test
9
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
<image>Find x.
5 \sqrt { 3 }
Geometry
Geometry3K
test
10
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<image>Find $PS$.
9
Geometry
Geometry3K
test
11
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
<image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 8$.
120
Geometry
Geometry3K
test
12
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<image>Find x
4
Geometry
Geometry3K
test
13
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
<image>Quadrilateral $ABDC$ is a rectangle. If $m\angle1 = 38$, find $m \angle 2$
52
Geometry
Geometry3K
test
14
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<image>What is the value of $x$ below to the nearest tenth?
22.5
Geometry
Geometry3K
test
15
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<image>Find $m\angle W$
108
Geometry
Geometry3K
test
16
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<image>Express the ratio of $\cos B$ as a decimal to the nearest hundredth.
0.38
Geometry
Geometry3K
test
17
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<image>Find the measure of $JK$.
31
Geometry
Geometry3K
test
18
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
<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
Geometry
Geometry3K
test
19
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
<image>Find $x$ so that each quadrilateral is a parallelogram.
4
Geometry
Geometry3K
test
20
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<image>Find $WR$.
8
Geometry
Geometry3K
test
21
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<image>Find the value of $x$
74
Geometry
Geometry3K
test
22
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
<image>Find the area of the trapezoid.
678.5
Geometry
Geometry3K
test
23
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
<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
Geometry
Geometry3K
test
24
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
<image>Find x
6 \sqrt { 6 }
Geometry
Geometry3K
test
25
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
<image>Find x. Round to the nearest tenth.
52.5
Geometry
Geometry3K
test
26
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<image>Find $y$ so that each quadrilateral is a parallelogram.
31
Geometry
Geometry3K
test
27
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
<image>Find $K J$ if $G J=8, G H=12,$ and $H I=4$
2
Geometry
Geometry3K
test
28
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
<image>Find $QP$.
3.6
Geometry
Geometry3K
test
29
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
<image>In $\odot T, Z V=1,$ and $T W=13$. Find XY
10
Geometry
Geometry3K
test
30
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<image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 1$.
38
Geometry
Geometry3K
test
31
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<image>The two polygons are similar. Find UT.
22.5
Geometry
Geometry3K
test
32
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
<image>Find the measure of $∠A$ to the nearest tenth.
41.8
Geometry
Geometry3K
test
33
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<image>Find $m \angle H$.
31
Geometry
Geometry3K
test
34
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
<image>Find $x$.
90
Geometry
Geometry3K
test
35
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<image>$m \widehat{AC}=160$ and $m \angle BEC=38$. What is $m \angle AEB$?
42
Geometry
Geometry3K
test
36
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
<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
Geometry
Geometry3K
test
37
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<image>Find $x$.
123
Geometry
Geometry3K
test
38
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<image>Solve for x in the figure. Round to the nearest tenth if necessary.
3
Geometry
Geometry3K
test
39
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<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
Geometry
Geometry3K
test
40
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
<image>Find the area of the figure. Round to the nearest tenth.
30.2
Geometry
Geometry3K
test
41
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
<image>If $c=5,$ find $b$
2.5 \sqrt { 3 }
Geometry
Geometry3K
test
42
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<image>Find $z$.
12
Geometry
Geometry3K
test
43
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
<image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth.
216.6
Geometry
Geometry3K
test
44
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<image>Find $m \angle 2$.
39
Geometry
Geometry3K
test
45
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<image>Find x. Round to the nearest tenth.
5.8
Geometry
Geometry3K
test
46
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<image>$m$ is the perpendicular bisector of $XZ$, $WZ=14.9$. Find $WX$.
14.9
Geometry
Geometry3K
test
47
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
<image>$m∠9 = 2x - 4$, $m∠10 = 2x + 4$. Find the measure of $∠10$.
94
Geometry
Geometry3K
test
48
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<image>Find $JL$.
14
Geometry
Geometry3K
test
49
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
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
91.9
Geometry
Geometry3K
test
50
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
<image>Find x.
15
Geometry
Geometry3K
test
51
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<image>Find $ST$.
19
Geometry
Geometry3K
test
52
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
<image>Find x.
18 \sqrt { 6 }
Geometry
Geometry3K
test
53
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
<image>Find $EG$ if $G$ is the incenter of $\triangle ABC$.
5
Geometry
Geometry3K
test
54
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
<image>Find $x$ so that each quadrilateral is a parallelogram.
13
Geometry
Geometry3K
test
55
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<image>Find $x$.
3
Geometry
Geometry3K
test
56
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<image>Find x.
1
Geometry
Geometry3K
test
57
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
<image>Tangent $\overline{M P}$ is drawn to $\odot O .$ Find $x$ if $M O=20$
12
Geometry
Geometry3K
test
58
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<image>In H, the diameter is $18$, $LM = 12$, and $m \widehat {LM} = 84$. Find $HP$. Round to the nearest hundredth.
6.71
Geometry
Geometry3K
test
59
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
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
21.6
Geometry
Geometry3K
test
60
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<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
Geometry
Geometry3K
test
61
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
<image>If $c=5,$ find $a$
2.5
Geometry
Geometry3K
test
62
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
<image>Find x.
5
Geometry
Geometry3K
test
63
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<image>Find the length of $\widehat {AB}$. Round to the nearest hundredth.
9.77
Geometry
Geometry3K
test
64
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<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
Geometry
Geometry3K
test
65
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<image>In the figure, $m∠3 = 43$. Find the measure of $\angle 11$.
43
Geometry
Geometry3K
test
66
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<image>If AB || DC, find x.
115
Geometry
Geometry3K
test
67
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
<image>Find the measure of $\angle 2$.
33
Geometry
Geometry3K
test
68
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<image>The diagram shows the layout of Elm, Plum, and Oak streets. Find the value of $x.$
125
Geometry
Geometry3K
test
69
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
<image>Find $y$.
5 \sqrt { 5 }
Geometry
Geometry3K
test
70
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
<image>In $\odot P, m \angle M P L=65$ and $\overline{N P} \perp \overline{P L}$. Find $m \widehat{N M}$
25
Geometry
Geometry3K
test
71
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<image>Each pair of polygons is similar. Find y
5
Geometry
Geometry3K
test
72
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<image>Use parallelogram $JKLM$ to find $m \angle KJL$.
30
Geometry
Geometry3K
test
73
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<image>Find the area of the figure. Round to the nearest tenth if necessary.
63
Geometry
Geometry3K
test
74
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<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
76
Geometry
Geometry3K
test
75
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
<image>Trapezoid $GHJK$ has an area of 75 square meters. Find the height.
5
Geometry
Geometry3K
test
76
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
<image>Find x
58
Geometry
Geometry3K
test
77
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
<image>Find x. Round to the nearest tenth.
30.2
Geometry
Geometry3K
test
78
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<image>For the pair of similar figures, find the area of the green figure.
9
Geometry
Geometry3K
test
79
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<image>In $\odot X, A B=30, C D=30,$ and $m \widehat{C Z}=40$ Find $m\widehat{C D}$
80
Geometry
Geometry3K
test
80
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<image>Quadrilateral EFGH is a rectangle. If FK = 32 feet, find EG.
64
Geometry
Geometry3K
test
81
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<image>Find $x$.
7
Geometry
Geometry3K
test
82
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<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
Geometry
Geometry3K
test
83
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
<image>Find x.
\sqrt { 21 }
Geometry
Geometry3K
test
84
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<image>Find $BC$.
13
Geometry
Geometry3K
test
85
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
<image>Find x.
24 \sqrt { 3 }
Geometry
Geometry3K
test
86
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<image>If $ZP = 4x - 9$ and $PY = 2x + 5$, find $ZX$.
38
Geometry
Geometry3K
test
87
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
<image>Find y
6 \sqrt { 3 }
Geometry
Geometry3K
test
88
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
<image>Find the measure of $∠T$ to the nearest tenth.
21.8
Geometry
Geometry3K
test
89
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
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
7.2
Geometry
Geometry3K
test
90
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<image>$\overline{AB} \cong \overline{DF}$. Find $x$.
2
Geometry
Geometry3K
test
91
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<image>Find $m \angle WYZ$.
23
Geometry
Geometry3K
test
92
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
<image>Find the area of the shaded region.
22.1
Geometry
Geometry3K
test
93
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<image>Find x
2
Geometry
Geometry3K
test
94
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RQAUUUUAFFFFABRRRQAVxd0DqXxYsoTzFpli02MfxscfyK/lXaVxnhhTceO/Fd4R92SGBT9FIP8A6CK3oaKcuy/PT9Tnr6uEe7/K7/Q7OiiisDoCiiigAooooAoavo9lrmnvZX8Ikiboe6H1B7GuT03Vr7wdfQ6Jr8hl0+Q7bLUT0A7I/p/T6dO7qpqWm2mr2MllfQLNBIMFW7e4PY+9bU6qS5J6x/LzRjUpNvnhpL8/J/1oWgQwBBBB5BFcd48yl14ZlxkLq0Ofz/8ArVSsr6+8A3kWmatI1xoUr7bS9PJg9Ef2/wAjjgW/H8ita+H7iMq8f9qwMGU5BGCRg/hW1Kk4VY21T2ZhVqqdGV9GrXXzO0rm/FXic6MsNjYQ/a9Yu/lt7decf7Te388egJEvifxLHoFtHHDEbnUrk7LW2Xku3qfas/Q9Gj8OWd34j8QXCyam8bS3Vw5yIUHO1fw9PoOKyhGMI+1qbdF3/wCAbVJSnL2VPfq+3/B/4cueFfDA0SJ7y9k+06vdfNc3DHJyf4VPp/P8q6OvOtPPirx9H/aS6nL4f0KQn7LFboDcTp2dmP3c9sf/AF6ztfg8TfDeCHW7XxDe6zpMcireWuoHzHCscblfr1PtjjqKznOU5Xnu/wCvkawpxhHlh0PVqKjt50ubaK4iOY5UDqfUEZFSVDVik76hRRRQAVmeI7D+0/Dmo2eAWlgYLn+8Blf1ArTopxk4tNdBSipJp9TnvA19/aHgzTJSSWSLyWz1yhK/yAroa4z4cnydN1Ww422mpSxqPReP65rs61xCSqyS7mWHk3Si32CiiisTYKKKKACiiigAooooAKKKKACiiigAooooAKKKKAPO/izm/sND8PqTnVNTijcA8+WOW/mKm/4Uz4I/6Bk3/gVJ/wDFVl+LtLXxf8V9M0Rru7tYdPsHunmtJNkiMzYGDg46LWsnwttUkVz4q8VNtIO1tRGD7H5KIrTXq3/l+g5PX0X/AAf1Ol8O+GNK8K2D2WkW5hgeQysC5cliAOpOegFYXgZkXUPFLkgZ1aXk8dzXaAYGK8x0XwjpGveIfEp1OJ3mh1FyuyUr8rEkdK6qPK4T5n2/M5K/MqkHFa6+XT5npLXMCDLTxgepcVG2o2KLue9t1HqZVH9a5v8A4Vp4Vz/yD3/8CJP8akHw58JggjSRx63Ep/8AZqjlofzP7l/mVzV/5V97/wDkTafXNJiQvJqlkijqzXCAD9agbxR4fUZOuab+F0h/rVMeBfDAOf7Hg/Nv8am/4Qzw2D/yBbP/AL90Wod3+A37fol+I5vF3h1Vydbsce06mo28a+GkUsdZtcD0bJ/Spv8AhE/DwP8AyBLD/wAB1/wqQeGdBUgjRNNBHIItI/8ACj9x5/gL/aPL8TPfx94XjQs2rxED+6jsfyAqBviR4TAyNUJ9hby//E1vDSNMByNOtM/9cF/wqX7DaA5FrB/37FF6HZ/ev8htV+kl9z/zORvviB4Nv7KW1urg3EEgw0bW7nP5ivKNT1qYH+ztPvrh9JtrjzrRZQAynsfXjJr3TxBrOn+HNON3cxKzsdsMKKN0j9gP8a4T/hW9/wCJBJrGp3osb67kMjQCHcEU9AeRzj/6/Nd+Eq0aa5pJqPm76+St+J52NpV6nuwacvJW083f8Cb4YSJreoalq2otJc6rDsVZpTkKjAj5R2Pyn/OaufGW4eLwMsAcpFdXsMMzDsmST/6CKgtrO9+GU/m5N9oVyyi4kWPEkDYxu47f569ev1jS9L8aeGZbKWUTWV2gKSxNyCDkMD6giuPG+9P2kdY6W+XTyO3A+5D2c9JK9/n18/U1baGK3tYYYVCxRoFQDoFAwK4T4t3fneGoPDtt+81HWLiOGGIdcBgzMfYYHPvTLHQPiNo9vHp1n4h0i6soxsjnvIH85FHQYHB/E1seHfBQ0zU31vV9Rl1fW3XZ9qlUKsS/3Y0HCj/PGTXM0m7vY64txWm50llbCysLe1U5WGJYwfXAA/pU9FFDd3diSsrIKKKKQwooooA47wWvla54riByv9ol/wAWyTXY1xvgYmXU/FFwSTv1R0Bx2UnH6EV2Vb4n+I/l+SMMN/DVvP8ANhRRRWBuFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHO6Z4W+weMdY8RS3nnyagkcaReVt8lVGMZyc5wD0FdFRRR0sHW4VxeiH7F8TPEVoePtUMVynuAAD+rGu0rivEB/sr4h6BqnSK7RrGU+5+7+rfpXRQ15od0/w1/Q58Rpyz7Nfjp+p2tFFFc50BRRRQAUUUUAFZuu65ZeHtMkvr18IvCIPvSN2Ue9S6tq1nomnS319L5cMY/Fj2AHcmuT0PSrvxRqieJNdjZIEOdPsW6IvZ2Hc/8A6+mK2pU01zz+Ffj5Ixq1GnyQ+J/h5v8ArUo6Qtxc+JrbXPFdtLCbkY01X/1NuSThW/uuRgjPX64Fej1Dd2lvfWktrdRLLBKu10YZBFYMF/J4amWx1e4Lae3Frfyn7v8A0zlPY+jd+/PUqTdV3/A66GHg6dqfx9f73n6+X3djeu3t47OZ7sxi2VCZTJjbtxznPavN7KbUfCTS6xp9lM3he4m3G2kP7yJP+eqj+EHsD2xnHWuqjjk8UzLcXCNHoqMGhgYYN0R0dx/c9F79T2FdGVVlKsoKkYII4Iop1PZ6NXT3X9dScRh4KPL/AMvO/by8/P8Az2r2GoWuqWUd5ZTpNBIMq6n9PY+1Wa4G/wBMvvA97NrGhoZtIlbdeaeP+Wfq6en9Pp07HS9Vs9ZsI72xmEsL9x1U+hHY0VKSS54axf8AVmc1Kq5PkmrSX9XRdooorE2CiiigApsjrHGzscKoJP0FOrnvHGo/2Z4O1KYEh3i8lMHnL/Lx9ASfwq4Rc5KK6kVJqEXJ9DO+GiM/hma+cYe9vJZz+YX/ANlNdlWV4a086V4a06yYAPFAu8D+8Rlv1JrVqq8lKpKS7k0IOFKMXvYKKKKyNQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACua8eaXJqfhW4MAP2m0IuoSOoZOTj3xmuloIBBBGQe1XTm4SUl0IqQU4OL6mboGqprehWeoIR++jBYDsw4YfgQa0q4Xwyx8M+Lb/AMMSnFpck3WnknjB+8g/L/x0+td1VVoKE9NnqvQihNzh7260fqFFFFZGwVV1HUbXSrCW9vZligiGWY/yHqfan3d3b2FpLdXUqxQRLud2PAFcPZ2tz4/1NdSv1eLw/bvm1tWGDcMP429v/wBXrW1Kmpe9LSK/qy8zGrUcfdjrJ/1d+Q7SrC68banHr2rxvFpUL5sLFv4/SRx3/r9Ove0gAVQAAAOAB2pamrUc32S2Q6VPkXdvd9wqOeCG5haGeJJYmGGR1BB/A1JRWZsm07oAMDA6UUUUCDrXC6tot94Vv5de8OJvtnO6904D5WHdk9D/AC+nFd1RWlOo4Pye67mdSmprs1s+xnaLrdjr+npe2EodDwyn7yN/dYdjWjXE634fvdF1GXxF4ZGJm5u7ED5LhepIH97/ACOc56HQPENj4isBc2bkMvEsLcPE3oR/WrqU1bnh8P5epFOq78lTSX5+n+XQ1aKKKwNwriPFJ/tzxfovh5Pmihf7bdgdAq/dB+vI/wCBCuwvbyDT7Ge8uXCQwoXdj6CuT8B2k139u8T3qYudUkzGD/BCOFH6D8AK6KPuJ1X00Xq/8tznr++1SXXV+i/z2OzooornOgKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAOZ8aaFPqunRXmnkpqmnv59sy9SR1X8cfmBV7wzr8PiLRor2PCyj5J4u8cg6j/AA9q2K4PXLS48H623iTTIjJp9wQNStk7c/6wf56/Xjpp2qx9k9+n+X+Xmc1T91P2q26/5/5+Xod5Uc88VrbyTzyLHFGpZ3c4CgdzUNrqVne6cmoQXEb2jpvEucADvn0x39K4maS4+ImpPbQO8Phq1kHmyDIa7cc4Ht/+vrjEU6Tk3zaJb/13LqVeVLl1b2/rsJGtx8RNS85zJD4ZtZPkQgqbtx3P+z/nrnHfxxpFGscaKiKAqqowAB2FNggitbeOCCNY4o1CoiDAUDsKkpVanPotEtl/XUdKnyat3b3f9dAooorI1CiiigAooooAKKKKACuO8QeG7y1v28Q+G28rUVGZ7f8Agul7gj+9/P6812NFXTqOm7oipTVRWZi+HPEtn4js2eHMV1F8txbPw8Ten0962q5LxJ4XnkvRr2gSfZtZiHIHCXK/3WHr7/n2Iy7j4gy3umx2GnWUyeI52MBtmQ/uW7tz27j9elb+w9p71Lbr5f8AA8zD27p+7W36efp5+RN4lnk8WeIYfC1mx+xwMJtSlXoADwmfX+v0NdxFEkMSRRIEjRQqqBwAOAKx/C/h2Lw5pQg3+bdSnzLmc8mRz159B2/+vW3WdaadoQ2X4+ZdGElec/if4dkFFFFYm4UUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFNdFkRkdQyMMMpGQR6VmeJNetvDegXWqXPKwr8iDrI54VR7k4rhvh3q/iM+MNY0jxJeNNcfZoruOI/dh3clR9N4H4ULV2B6K5B4p8NXvh+CRbKe6PhmeZZLy2hOXhGecZ/h/wGa9E0KfTLjRrZtHMf2EIBGI/4fYjsfXPNaBAZSCAQeCD3ritQ8K6hol8+reEpFjZjun05z+6l/3fQ/5BHSuv2qrxUJuzXXo/Xz8zk9k6EnOCun06r08vL7jtqK5nQvGun6tMbK5VtP1NDte0uPlO7/ZJ6/z9q6auedOUHaSsdEKkZq8XcKKKKgsKKKKACiiigAooooAKKhuru3srd7i6njhhQZZ5GCgfia4u48T6r4omex8JwtHbg7ZdUmUhVH+wD3/X2HWtadKU9Vt36GVSrGGj37dTS8S+LBpkq6XpUP23Wp+I4E5Ef+0/p64/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<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
Geometry
Geometry3K
test
95
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
<image>Find $x$ if $AE=3, AB=2$, $BC=6,$ and $ED=2x-3$
6
Geometry
Geometry3K
test
96
/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEJAOMDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD3eiiiuYsKKKKACiiigAooooAKKKoXeuaTYTLDeapZW0rHASa4RGJ+hNAF+impIkqK8bq6MMhlOQRTqACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDiPGmsajc6xp/hHRJzb3t+pluLpetvAOpHucED/69W7P4a+E7W08l9IhunbmSe5zJI5PUlj0P0xWHbTJbfHq+W9ZUa40xFsyxxuGVJA98hvyrvdT1Oz0fTpr+/nSC2hXc7sf0HqfantFPv/mDu5W/rY5rwd4UvfCep6tbRXCtoMzrJZQGRmeE/wAQ5HA/E9K7CsTwprF7r+iJqd5YiyWdy0ERYljF/CzehPXFbdOV72YlbdBRRRUjCiiigAooooAKKKKACiiigAooooAKKK5PUfiX4Q0nUZ7C91cRXMDbJEFvK20+mQpFHkB1lFc/onjjw14iuPs+l6tDPPziJlaNzj0DAE/hXQU2mtxBRRRSGFFFFABRRRQAUUUUAFFFFAGF4k8IaN4qjiGp27GWE5inicpJH9GH8jWXY/DTQraeKa9l1DVnhO6L+0rkyqh/3eF/MV2NcHc2+o69471S1tdZvbCKyhiA8ljtLMM8rnHc/lW1Gnz31slqZVqnJbS7eh3gGBgdKK4/+wfGFuR5HixJQO01ovP8zR/xcC2/6At2B/vqT/Kr+rxfwzT+9fmiPbtbwa+5/k2dhRXHnXvGFuT5/hSOYDvBdrz+HJoPji5gOLzwtrMWOpSHePz4FH1Wo9rP0a/zD61TW916p/5HYVQ1vUf7I0W71AIJDBGXCE43H0zWAvxI0BWC3P2y1fGds9uQR+Way/GXi7RdU8HXsGnagks0mwBArK2N654IHYURwtVSXNF29DqwM6OIxNOlzJ3aVr+Z0Hh7xrpPiICOGXyLvvbynDf8BPRvw/Kuir5gVirBlJDA5BHUV3Phz4l6jpm231MNfWo4Dk/vUH1/i/Hn3retgWtaf3H1GP4blG88K7rs9/kz2ais3R9e03Xbbz9PuVlA+8nR0+q9RWlXA007M+XnCVOTjNWaCiiikSFFFFADZJFiieRzhUBYn0Arz/4U2qXuhajrdxEryapqE04LqD8ucAfnmt/x9qX9leBNYug21/szRof9p/lH6mm+DIrXR/BOkWjzwoY7VWky4GGI3N+pNVHaT9F+v6IH0X9af8Ocv8XNOtbLStN1yzhSDVLa+iWKWNQrNnPynHXpXpiklQT1xXnGpXMXxB8Z6dp+nt5+i6NN9qvLleY5Jh9yNT39/qa9Io2gl53/ACE/i+QUUUVIwooooAKKKKACiiigAooooAK4/wAF4udY8Tahj/W35hB9kzj9DXWyyCGF5W+6ilj9BXKfDeM/8Ikty/37q4lmY+p3bf8A2WumnpRm+9l+v6HPU1rQXq/0/U66iiiuY6AooooAa6JIu11Vh6EZrz74p21na+HoHhtLdJ5blVMixKG27WJGevUCvQ6xPEfhm18TRW0N5NMkMLl9sWAWOMdSD71tRnyTTex15fVp0cVCrU2TufPVa2meGNa1fabLTp5EPSRl2p/30cCvb9N8I6DpJVrXTYfMXkSSDe4P1bOPwrbrsnj/AORfefSYjihbUIfN/wCS/wAzyvRfhhq9tMt1LrC2Ey/dNsC7D6nK/wBa6U6N4ztyTbeJbecAcJcWwA/EgE119FczxVRu7s/VI+Zx+Lq49p1nttbT8v1OPEnj+3I3QaLdL32s6k/nj+VA8R+K4MfavCDOO5hu1P6DNdhRR9Yi/igvxX5M872EltN/g/zRx58ePBn7Z4a1qHHUi33D8zinp8SPDZYrNcTwMOokt2yPyBrraZJFHKMSRo49GXNHtKD3g/k/80w5Ky2mvmv8mjltS1jwX4p0xrDUdQtprSQqzRvM0OSORk5U1n2Pw1+HlywlstNtrnbzlL2SQfiN5FV/EcdjrmqHQNC0uxe76XV95C4t17jIH3v89enYaDoNl4e01bOzT3kkP3pG9T/nirq0qdOClFtN9P1JpVas5uLs0uvn2LllYWmm2iWtjbRW1un3Y4kCqPwFWKKK4zpCiiigYUUUUAFFFFABRRRQAUUUUAZHim4Nr4V1SYHBFs4B9CRgfqab4St/svhLSoiNp+zI5GOhYbj/ADrM+I8zJ4OnhT79xLHEozjJ3A4/8drqIIhBbxQr92NAo/AYrpemHXm3+CX+ZzrWu/JL8W/8iSiiiuY6AooooAKKKKACiiigAooooAKKKKACuN13XbzVdRbw74db/Sel3eD7tuvcA/3v89ejvEGuXWo6h/wjfh9/9Mf/AI+rofdtk78/3v8APXpu6FoVn4f05bS0XnrJK33pG9TXXCMaMVOau3sv1f6LqcspOq3CD0W7/Rfq+nqGhaFZ+H9OW0tF56ySt96RvU1p0UVzSk5tyk7tnRGKiuWOwUUUVJQUUUUAFFFFABRRRQAUUVwnjXVtdPinQvDvh/UlsJ71ZZZ5jAku1FHHDA+hoWrsHmd3RXmusWPxD0HSLrVR4wtb1bSMzPbyafHGHVRkjIGen0rtfDOrSa74Z07VJYhFJdQLIyDoCeuPanbS4jE8b/6TqPhrTx1m1FZSP9lOv6NXYVx+qYu/idokHUWlrLcMP97Kj9QK7CuitpTpx8r/AHtmFHWc5edvuSCiikZgqlmOABkmuY6BaKhtbu3vrdLi1njmhf7rxsCDU1A2mnZhRRRQIKKKKACiiigArkPEHiC7vdQPh3w6Q183Fxcj7tsvfn+9/L69DxB4gu73UD4d8OkNfNxcXI+7bL35/vfy+vTZ8P8Ah+08PaeLa2BaRvmmmb70rep/wrrhCNGKqVFdvZfq/wBF19DmlJ1W4QenV/ov1fT1Dw/4ftPD2ni2tgWkb5ppm+9K3qf8K1qKK5pzlOTlJ3bN4xUUoxWgUUUVJQUUUUAFFFFABRRRQAUUUUAFeT3g8Q6v8XtUuvDh03zdKtI7VjqG/YN/zHGwZznNesV5RokXjvw9quuXUXg9Lw6leNP5r6jChC5O1cZPQGnH4vl/X4XB/CQ+NZfG9ronm+Jv7Ml0HzEF9HpDukrIWAxmQdM46da9U09bddOtRZoEthEvlIBgKmBgY+lcLeaR4s8cJDZa/ZWui6OJFkuIIpxNNPtOQu4fKF/WvQURY0VEAVVAAA7Cqfw2E9zh4NSsYvijqk17eQW4gtEt4/OkCBidrHGa7SK8tp/9TcQyZ/uOD/KuH8OaNpviDU/EV/qFnFchtQaGMuM7VX09OCK1Zvh14YmJI08xk/3JnH6ZxXZXVHmUZNppJbJ9PVHFQdblcopNNt7tdfRnU1Q1u4+yaDqFx/zytpH/ACUmuePw8sogPserava4GAsdzwP0/rWT4m8P6lo/hq+uT4ov57ZY9rwXA379xCgbs8cn0rKNKk2rT/B/8E7cK6s68IShu0tH3fyPN9H1/UtBuPO0+6eLJy0Z5R/qvT+teq+HPiXpuqbLfUgLG6PG5j+6c+x/h/H868Yor06uHhV33P0vHZVh8YrzVpd1v/wT6fBDAEEEHkEUteG+EfEviPTpBBp9vPqNsDzbbGcL9CPu/wAq9C/4TxoAPtnhvWoTjnbb7gPxOK8yeEqKVo6nweaYF5dL95JNPbv92/6HYUVySfEjw5u2TT3EDDqstu2R+WavweNfDdwAU1e3Gf8AnoSn/oQFRLDVo7wf3HlLE0Xopr7zerkPEHiC7vdQPh3w6Q183Fxcj7tsvfn+9/L69Ga34mfU549D8MzpPeXAzJdxNuS3Tucjv/L61uaBoFp4e08W1sC0jfNNM33pW9T/AIVpGCornqLXov1f+XUiU3WfJTenV/ov8+nqHh/w/aeHtPFtbAtI3zTTN96VvU/4VrV5Roelaj451XxBqT+J9csLSLUHt7aKzu2RNq45x09OnvW9H8ObiOVHPjbxS4VgSrX5wfY1hJub5pvV6nQoqC5YrRHc0UUVmUFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFRzyiCCSVvuopY/gM1JWP4ruDbeE9VlBIP2Z1BHYkYH86uEeaSj3JnLli5djK+G8ZHg+K4bl7maWVjjqd23P8A47XW1j+FLc23hPSoiCD9mRiD2JGT/OtirxMuatJ+bM8PHlpRXkgrm/HVhe6p4WnsrCBpp5ZEAQEDgMDnJIA6V0lFZwlyyUl0OuhVdGrGrHeLv9x5JpvwlvpSG1K+ht1/uQgu35nAH612OmfDvw7pu1mtDdyD+O5bd/47wv6V1VFazxNWe7O7EZxja+kp2XZaDIoYoIxHDGkaDoqKAB+Ap9FFYHmN31Y1445RiRFcejDNcF4paw1C/wD7A0XSbG41SQfvrgwKRbL3JOOv+etaXiLxFdTX3/CP+H8SanIP3038Nsvck+v8vrWr4d8O2vh6x8mHMk8h3T3D/elb1Pt7V2U/3CVSW/Rfq/L8/Q5Kn79unHbq/wBF5/l6ieG/Ddn4a04W1sN0rYM0xHzSN/Qegqzrt+NK0DUL9ulvbyS/iFJrQrn/ABto2oeIPCV7pWmywRXFyFXfOxVQu4FuQCegx0rkqylUblJ3bOqlGMLRSskcD4H8G+KT4Rsrmx8ZPpsN2puPs62CSbSx67iwJyMGu58PaD4g0y+ebVvFcmrQmMqsBs0hCtkfNkE57jHvWDZad8T7Cxt7OC48KiGCNYkBE/CqMD+H2rpPDkfitGuD4lm0l1wvkDTw/vnduA9sY96uTu21sJXtqb9FFFZlBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXJfEiQjwfLbry9zNFEoz1O7dj/x2utrj/G3+k6p4a08HmXUBKR/spjP6NXThP40X21+7U58V/Bku+n36HWQRCCCOJfuooUfgMVJRRXMbhRRRQMKKKKACuS8ReIrqa+/4R/w/iTU5B++m/htl7kn1/l9aXxJ4iuGvV8PaD+91afiSQfdtk7sx9cfl+QOp4d8O2vh6x8mHMk8h3T3D/elb1Pt7V1QhGlFVKiu3sv1fl+focs5urJ04PRbv9F5/l6h4d8O2vh6x8mHMk8h3T3D/elb1Pt7VsUUVzznKcnKTu2dEIRhFRitAoooqSgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuP1L/S/iho8HOLS0kuD/wLK/0FdhXH6Xi7+J2tz9RaWsVup/3sMf1Brpw+nPLsn+On6nPiNeWPdr8Nf0OwooormOgKKKKACuT8SeJLkXq6BoCibV5h87/w2y92Y+v+fQE8SeJLkXq6BoCibV5h87/w2y92Y+v+fQHS8N+G7bw9ZMiMZruY7ri5f70jf4e39a64QjSiqlRXb2X6vy/P0OWc5VZOnTdkt3+i8/y9Q8N+G7bw9ZMiMZruY7ri5f70jf4e39a2qKK55zlOTlJ3bN4QjCKjFWSCiiioLCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuP8Ef6TqPiXUD1m1Fogf8AZTp+jV1k8ogt5Zm+7GhY/gM1y/w4iZfB0Ez/AH7iWSVjjqdxGf8Ax2umnpQm+9l+b/Q56mtaC9X+S/U6yiiiuY6Ark/EniS5F6ugaAom1eYfO/8ADbL3Zj6/59AXeJfEc8VyuhaIvnaxcDGR923U/wATe/f9fQHQ8N+G7bw9ZMiMZruY7ri5f70jf4e39a6oQjSiqlRXfRfq/L8zlnOVSXs6bsur/Ref5B4b8N23h6yZEYzXcx3XFy/3pG/w9v61tUUVhOcpycpO7ZvCEYRUYqyQUUUVBYUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAY3iy4+y+EtVl3bT9mdAfdhtH86d4Wtza+FdLhIwRbISPQkZP6msj4kSH/AIRJrZPv3VxFCo9Tu3f+y11cUYhhSJfuooUfQV0y0w682/wS/wAznWtd+SX4t/5D65bxJ4knguk0TREFxrE4xxysC/3m/wA/0yeJPEk8F0miaIguNYnGOOVgX+83+f6Zu+G/DcGgWrkubi/nO65uX5Z2/wAKcIRpRVSovRd/N+X5inOVSXs6fzfbyXn+QeG/DcGgWrkubi/nO65uX5Z2/wAK3KKKwnOU5OUnqbQhGEeWOwUUUVBYUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHH+NMXOseGdPz/AK2/ExHsmM/oan8SeJJ4LpNE0RBcaxOMccrAv95v8/0zg+NbzUP+E70mDSoTNexWzmIdlZ9y7j9AM11fhvw3BoFq5Lm4v5zuubl+Wdv8K9GShTpU5T100Xnd7+W3qefFzqVZxhprq/Ky289/QPDfhuDQLVyXNxfzndc3L8s7f4VuUUVwznKcnKT1O2EIwjyx2CiiioLCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKoa3q9roOjXWp3jbYbdCx9WPYD3JwPxoBK7sTR2FtHqE18sY+0yqEaQ9do6Aeg71Zrx7wxLrVj8TtNudauZvM12ylnNuzHZCckqgHsqr+dew1ck9L/1bQlWu0v66hRRRUFBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXlXjLVNT8Q+LINM0jRZNY07RpllvYUnWJZJuSqlj1C9xz3r0+7jnls5o7aYQTshWOVk3hGxwduRnHpmsrwr4bh8L6KtjHM1xMztLcXLLhppGOSxGT/PtTjo79ge1u55pr2s65N468I6pq/hqTR44bv7OHa6WYSeZgY4AxgZr2auc8Y+FP+EssLOBb37HJa3SXKS+V5nKg8YyPX17V0Y6U7rlt6/1+Ynvfy/zCiiipGFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAH/2Q==
<image>Find $A E$ if $A B=12, A C=16,$ and $E D=5$
15
Geometry
Geometry3K
test
97
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<image>Find $x$ in the given parallelogram
38
Geometry
Geometry3K
test
98
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
<image>Find x
115
Geometry
Geometry3K
test
99
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
<image>Find the area of the figure. Round to the nearest tenth if necessary.
129.9
Geometry
Geometry3K
test