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hiyouga
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rl-mixed-dataset

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[ "images/train/1200.png" ]
<image>Find $m \angle 6$.
49
[ "images/train/1201.png" ]
<image>Quadrilateral MNOP is a rhombus. If PR = 12, find RN.
12
[ "images/train/1202.png" ]
<image>Solve for $x$.
5
[ "images/train/1203.png" ]
<image>Find $m \angle X$
117
[ "images/train/1204.png" ]
<image>Find y.
1.5
[ "images/train/1205.png" ]
<image>Circle $W$ has a radius of 4 units, $\odot Z$ has a radius of 7 units, and $X Y=2 .$ Find $I C$
20
[ "images/train/1206.png" ]
<image>$\triangle RSV \cong \triangle TVS$. Find $y$.
12.5
[ "images/train/1207.png" ]
<image>Find $x$.
9
[ "images/train/1208.png" ]
<image>Find $m∠1$.
67
[ "images/train/1209.png" ]
<image>Find $x$.
20
[ "images/train/1210.png" ]
<image>Find the length of $XY$
9
[ "images/train/1211.png" ]
<image>If $\overline{PQ} \cong \overline{UQ}$, $\overline{PR} \cong \overline{RT}$ and $ m ∠ PQU = 40 $, find $ m ∠R $.
40
[ "images/train/1212.png" ]
<image>Find the variable of $c$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.
22.8
[ "images/train/1213.png" ]
<image>Find $m\angle F$
116
[ "images/train/1214.png" ]
<image>If $A B=60$ and $D E=48,$ find $C F$
18
[ "images/train/1215.png" ]
<image>Find z.
6 \sqrt { 3 }
[ "images/train/1216.png" ]
<image>Find $QR$ if $\triangle QRS$ is an equilateral triangle.
2
[ "images/train/1217.png" ]
<image>Find the value of the variable $x$ in the figure.
63
[ "images/train/1218.png" ]
<image>Find the area of $▱ ABCD$.
50
[ "images/train/1219.png" ]
<image>Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26. Find scale factor of trapezoid ABCD to trapezoid AEFG
1.6
[ "images/train/1220.png" ]
<image>$ABCD$ is a rhombus. If $PB = 12$, $AB = 15$, and $m\angle ABD = 24$. Find $m\angle ACB$
66
[ "images/train/1221.png" ]
<image>Find $B C$ if $B E=24, C D=32,$ and $A B=33$
11
[ "images/train/1222.png" ]
<image>Find $y$ in $\triangle P Q R$
2 \sqrt { 3 }
[ "images/train/1223.png" ]
<image>A square with 5-centimeter sides is inscribed in a circle. What is the circumference of the circle? Round your answer to the nearest tenth of a centimeter.
22.2
[ "images/train/1224.png" ]
<image>In $\Delta G H J$, $H P=5 x-16$, $P J=3 x+8$, $m \angle G J N=6 y-3$, $m \angle N J H=4 y+23$ and $m \angle H M G=4 z+14$. If $\overline{HM}$ is an altitude of $∠GHJ$, find the value of $z$.
19
[ "images/train/1225.png" ]
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
7.4
[ "images/train/1226.png" ]
<image>Find the area of the shaded sector. Round to the nearest tenth, if necessary.
333.9
[ "images/train/1227.png" ]
<image>In $\odot F, \overline{F H} \cong \overline{F L}$ and $\mathrm{FK}=17$. Find JH
15
[ "images/train/1228.png" ]
<image>Find the area of the shaded region. Round to the nearest tenth.
77.0
[ "images/train/1229.png" ]
<image>Find the area of the circle. Round to the nearest tenth.
38707.6
[ "images/train/1230.png" ]
<image>Use parallelogram ABCD to find $m\angle BDC$
87.9
[ "images/train/1231.png" ]
<image>Find $x$.
40
[ "images/train/1232.png" ]
<image>The lengths of the bases of an isosceles trapezoid are shown below. If the perimeter is 74 meters, what is its area?
162
[ "images/train/1233.png" ]
<image>Find $m \widehat {RQ}$.
28
[ "images/train/1234.png" ]
<image>Find $FE$ if $AB=6, AF=8, BC=x, CD=y$, $DE=2y-3,$ and $FE=x+\frac{10}{3}$.
\frac { 40 } { 3 }
[ "images/train/1235.png" ]
<image>Find the perimeter of the figure. Round to the nearest tenth if necessary.
56
[ "images/train/1236.png" ]
<image>What is the measure of an interior angle of a regular pentagon?
108
[ "images/train/1237.png" ]
<image>Find the measure of $\angle 4$ if $\overline{AB} \perp \overline{BC}$.
40
[ "images/train/1238.png" ]
<image>Find x.
\frac { \sqrt { 10 } } { 5 }
[ "images/train/1239.png" ]
<image>Find x. Round to the nearest tenth.
28.7
[ "images/train/1240.png" ]
<image>Find the area of the shaded region. Round to the nearest tenth.
34.6
[ "images/train/1241.png" ]
<image>In the figure, $m∠3 = 43$. Find the measure of $\angle 2$.
137
[ "images/train/1242.png" ]
<image>Find x in the figure below. Round your answer to the nearest tenth if necessary.
93.9
[ "images/train/1243.png" ]
<image>Find $m \angle R$.
30
[ "images/train/1244.png" ]
<image>Find $x$ so that each quadrilateral is a parallelogram.
7
[ "images/train/1245.png" ]
<image>If $a ∥ b$ in the diagram below, which of the following may not be true?
\angle 8 \cong \angle 2
[ "images/train/1246.png" ]
<image>Find x in the parallelogram
7
[ "images/train/1247.png" ]
<image>Find the area of the triangle. Round to the nearest tenth if necessary.
129.9
[ "images/train/1248.png" ]
<image>Find x. Assume that segments that appear to be tangent are tangent.
9.6
[ "images/train/1249.png" ]
<image>Express the ratio of $\sin Q$ as a decimal to the nearest hundredth.
0.47
[ "images/train/1250.png" ]
<image>parallelogram MNPQ with $m \angle M=10 x$ and $m \angle N=20 x$, find $\angle N$
120
[ "images/train/1251.png" ]
<image>Find the measure of the altitude drawn to the hypotenuse.
8 \sqrt { 2 }
[ "images/train/1252.png" ]
<image>In the figure at the right, $YZ$ is the midsegment of trapezoid $TWRV$. Determine the value of $x$.
1.2
[ "images/train/1253.png" ]
<image>Find $x$.
162
[ "images/train/1254.png" ]
<image>Find $\angle 10$
50
[ "images/train/1255.png" ]
<image>Find $x$.
6
[ "images/train/1256.png" ]
<image>$m∠11 = 4x$, $m∠12 = 2x -6 $. Find the measure of $\angle 11$.
124
[ "images/train/1257.png" ]
<image>Find $m \angle 3$.
16
[ "images/train/1258.png" ]
<image>Find $x$ so that $ m \parallel n $.
21.6
[ "images/train/1259.png" ]
<image>Find $m\angle E$
126
[ "images/train/1260.png" ]
<image>Find the base of the parallelogram given its area with 100 square units.
20
[ "images/train/1261.png" ]
<image>If $\overline{P Q} \cong \overline{Q S}$, $\overline{Q R} \cong \overline{R S}$, and $m \angle P R S=72$, what is the measure of $\angle Q P S$ ?
27
[ "images/train/1262.png" ]
<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 $m\widehat{A D C}$
270
[ "images/train/1263.png" ]
<image>Quadrilateral ABCD is a rectangle. If $m\angle ADB = 4x + 8$ and $m\angle DBA = 6x + 12$, find x.
7
[ "images/train/1264.png" ]
<image>Express the ratio of $\sin B$ as a decimal to the nearest hundredth.
0.92
[ "images/train/1265.png" ]
<image>Find $m∠MRQ$ so that $a || b$.
77
[ "images/train/1266.png" ]
<image>$m∠19 = 100 + 20x$, $m∠20 = 20x $. Find the measure of $\angle 20$.
40
[ "images/train/1267.png" ]
<image>Find $x$.
4
[ "images/train/1268.png" ]
<image>Find the perimeter of $\triangle Q R S$ if $\triangle Q R S \sim \triangle Q T P$
14
[ "images/train/1269.png" ]
<image>Find $y$.
40
[ "images/train/1270.png" ]
<image>Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26. Find DC
22.4
[ "images/train/1271.png" ]
<image>Find z.
\frac { 85 } { 6 } \sqrt { 13 }
[ "images/train/1272.png" ]
<image>Rhombus $QRST$ has an area of 137.9 square meters. If $RT$ is 12.2 meters, find $QS$.
22.6
[ "images/train/1273.png" ]
<image>Find $y$.
8
[ "images/train/1274.png" ]
<image>Find the area of a regular pentagon with a perimeter of 40 centimeters.
110
[ "images/train/1275.png" ]
<image>Find x.
2 \sqrt { 66 }
[ "images/train/1276.png" ]
<image>Square $F G H J$ is inscribed in $\odot K$. Find the measure of a central angle.
90
[ "images/train/1277.png" ]
<image>Find the exact circumference of each circle.
8 \pi
[ "images/train/1278.png" ]
<image>Find $x$.
140
[ "images/train/1279.png" ]
<image>Find the measure of $\angle 3$ if $m \angle D G F=53$ and $m \angle A G C=40$.
50
[ "images/train/1280.png" ]
<image>Polygon $BCDE$ $\cong$ polygon $RSTU$. Find $x$.
20
[ "images/train/1281.png" ]
<image>$\triangle NDG \cong \triangle LGD$. Find $x$.
54
[ "images/train/1282.png" ]
<image>WXYZ is a kite. If $m\angle WXY = 120$, $m\angle WZY = 4x$, and $m\angle ZWX = 10x$, find $m\angle ZYX$.
100
[ "images/train/1283.png" ]
<image>$P$ is the centroid of triangle $QUS$. If $QP=14$ centimeters, what is the length of $\overline{QT}$?
21
[ "images/train/1284.png" ]
<image>Express the ratio of $\cos Q$ as a decimal to the nearest hundredth.
0.88
[ "images/train/1285.png" ]
<image>$\overline{JH}$ is a midsegment of $\triangle KLM$. Find $x$.
10
[ "images/train/1286.png" ]
<image>For isosceles trapezoid $A B C D$, $X$ and $Y$ are midpoints of the legs. Find $m \angle X B C$ if $m \angle A D Y=78$
102
[ "images/train/1287.png" ]
<image>If $FK = 3x - 1$, $KG = 4y + 3$, $JK = 6y - 2$, and $KH = 2x + 3$, find $y$ so that the quadrilateral is a parallelogram.
2.5
[ "images/train/1288.png" ]
<image>Find $x$.
12
[ "images/train/1289.png" ]
<image>Find x.
9 \sqrt { 2 }
[ "images/train/1290.png" ]
<image>Find $m \angle 1$ in the figure.
107
[ "images/train/1291.png" ]
<image>Find $a$.
15
[ "images/train/1292.png" ]
<image>Find the measure of $\angle 8$ if $\overline{A B} \perp \overline{B C}$.
14
[ "images/train/1293.png" ]
<image>Find the area of the shaded region. Assume the inscribed polygon is regular.
25.8
[ "images/train/1294.png" ]
<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.
54.4
[ "images/train/1295.png" ]
<image>If $c=8,$ find $a$
4
[ "images/train/1296.png" ]
<image>If $MNPQ \sim XYZW,$ find the perimeter of $MNPQ$.
34
[ "images/train/1297.png" ]
<image>Find $x$.
20
[ "images/train/1298.png" ]
<image>In $\odot P, m \widehat{E N}=66$ and $m \angle G P M=89$ . Find $m \angle E G N$
33
[ "images/train/1299.png" ]
<image>In the figure, $m∠1 = 123$. Find the measure of $\angle 5$.
123