Datasets:
hiyouga
/
rl-mixed-dataset

Dataset card Data Studio Files Community
1
images
list
problem
string
answer
string
[ "images/train/200.png" ]
<image>Find $y$ and so that each quadrilateral is a parallelogram.
\frac { 4 } { 3 }
[ "images/train/201.png" ]
<image>In $\triangle A B C, \overline{B D}$ is a median. If $A D=3 x+5$ and $C D=5 x-1$, find AC .
28
[ "images/train/202.png" ]
<image>Find y
32.6
[ "images/train/203.png" ]
<image>Find the area of the figure. Round to the nearest tenth if necessary.
261
[ "images/train/204.png" ]
<image>Find $m \angle B$.
30
[ "images/train/205.png" ]
<image>Find $m \angle 2$.
52
[ "images/train/206.png" ]
<image>The triangle is inscribed into the circle. Find the exact circumference of the circle.
17 \pi
[ "images/train/207.png" ]
<image>Find the area of the triangle. Round to the nearest tenth if necessary.
137.5
[ "images/train/208.png" ]
<image>Use parallelogram MNPR to find $m \angle MQN$
97
[ "images/train/209.png" ]
<image>Find x.
20 \sqrt { 2 }
[ "images/train/210.png" ]
<image>If $a=4,$ find $b$
4 \sqrt { 3 }
[ "images/train/211.png" ]
<image>In the figure, $m ∠1 = 53$. Find the measure of $∠6$.
53
[ "images/train/212.png" ]
<image>Find the area of the quadrilateral.
240
[ "images/train/213.png" ]
<image>Find $JK$.
14
[ "images/train/214.png" ]
<image>Find $AB$.
29
[ "images/train/215.png" ]
<image>Find x. Assume that segments that appear to be tangent are tangent.
145
[ "images/train/216.png" ]
<image>Find $x$.
2
[ "images/train/217.png" ]
<image>Find $z$.
20
[ "images/train/218.png" ]
<image>$\overline{PM}$ is a diameter of $\odot R$. Find $m \widehat {MQ}$.
65
[ "images/train/219.png" ]
<image>Find y.
30
[ "images/train/220.png" ]
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
1448.0
[ "images/train/221.png" ]
<image>Assume that the segment is tangent, find the value of $x$.
3
[ "images/train/222.png" ]
<image>Express the ratio of $ \cos C $ as a decimal to the nearest hundredth.
0.80
[ "images/train/223.png" ]
<image>Find the area of the triangle. Round to the nearest hundredth.
6.79
[ "images/train/224.png" ]
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
38.4
[ "images/train/225.png" ]
<image>Find x.
6
[ "images/train/226.png" ]
<image>If PR || WX, WX = 10, XY = 6, WY = 8, RY = 5, and PS = 3, find PQ
6
[ "images/train/227.png" ]
<image>Find y
\frac { 19 \sqrt { 2 } } { 2 }
[ "images/train/228.png" ]
<image>Find $x$ so that the quadrilateral is a parallelogram.
8
[ "images/train/229.png" ]
<image>Find the area of the shaded region. Round to the nearest tenth.
7.9
[ "images/train/230.png" ]
<image>If $ABCDE \sim PQRST,$ find the perimeter of $PQRST$.
22.5
[ "images/train/231.png" ]
<image>Find the value of the variable $x$ in the figure.
70
[ "images/train/232.png" ]
<image>Each triangle in the figure is a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle. Find $x$.
\frac { 3 } { 2 }
[ "images/train/233.png" ]
<image>Find $m\angle L$
52
[ "images/train/234.png" ]
<image>The segment is tangent to the circle. Find $x$.
20
[ "images/train/235.png" ]
<image>Find the area of the triangle. Round to the nearest tenth if necessary.
20
[ "images/train/236.png" ]
<image>Find the area of the parallelogram.
396
[ "images/train/237.png" ]
<image>Find $x$ in parallelogram $ABCD$.
7.2
[ "images/train/238.png" ]
<image>If QRST is a parallelogram, Find $z$
11
[ "images/train/239.png" ]
<image>Refer to the figure at the right. Find the value of $m ∠ ABD $ if $ p \parallel q $.
75
[ "images/train/240.png" ]
<image>Find $KL$.
24
[ "images/train/241.png" ]
<image>In $\odot D, \overline{D E} \cong \overline{E C}, m \widehat{C F}=60,$ and $\overline{D E} \perp \overline{E C} .$ Find $m \angle 5$
30
[ "images/train/242.png" ]
<image>For trapezoid $D E G H, X$ and $Y$ are midpoints of the legs. Find $D E$
8
[ "images/train/243.png" ]
<image>Point $S$ is the incenter of $\triangle JPL$. Find $m \angle MPQ$.
56
[ "images/train/244.png" ]
<image>Find x.
40
[ "images/train/245.png" ]
<image>Find $m \angle 8$.
28.5
[ "images/train/246.png" ]
<image>Find the height of the parallelogram given its area with 100 square units.
5
[ "images/train/247.png" ]
<image>Find y
16
[ "images/train/248.png" ]
<image>The height of a triangle is 5 centimeters more than its base. The area of the triangle is 52 square centimeters. Find the height.
13
[ "images/train/249.png" ]
<image>Find the diameter of circle M.
38.0
[ "images/train/250.png" ]
<image>Find $RT$.
8
[ "images/train/251.png" ]
<image>Find $x$.
20
[ "images/train/252.png" ]
<image>$\overline{E C}$ and $\overline{A B}$ are diameters of $\odot O$. Find its measure of $\widehat{A C B}$.
180
[ "images/train/253.png" ]
<image>Use parallelogram $JKLM$ to find $m \angle JML$.
80
[ "images/train/254.png" ]
<image>Find $m\angle C$
127
[ "images/train/255.png" ]
<image>If QRST is a kite, find $m\angle RST$.
78
[ "images/train/256.png" ]
<image>In $\odot P, m \widehat{E N}=66$ and $m \angle G P M=89$ . Find $m \angle G M E$
57
[ "images/train/257.png" ]
<image>Find $x$ if $AC=x-3$, $BE=20, AB=16,$ and $CD=x+5$
35
[ "images/train/258.png" ]
<image>Find $ED$ if $AE=3, AB=2$, $BC=6,$ and $ED=2x-3$
9
[ "images/train/259.png" ]
<image>Use a Pythagorean Triple to find x.
34
[ "images/train/260.png" ]
<image>Find $x$.
5
[ "images/train/261.png" ]
<image>Find EC
4.8
[ "images/train/262.png" ]
<image>Find $m \angle R$.
32
[ "images/train/263.png" ]
<image>Find x.
4 \sqrt { 2 }
[ "images/train/264.png" ]
<image>Find x
30
[ "images/train/265.png" ]
<image>Find the area of the figure. Round to the nearest tenth if necessary.
340
[ "images/train/266.png" ]
<image>Find the perimeter of the triangle.
71.7
[ "images/train/267.png" ]
<image>Find the value of $x$ in the diagram.
13
[ "images/train/268.png" ]
<image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {CGD}$.
305
[ "images/train/269.png" ]
<image>Lines $l$, $m$, and $n$ are perpendicular bisectors of $\triangle PQR$ and meet at $T$. If $TQ = 2x$, $PT = 3y - 1$, and $TR = 8$, find $y$.
3
[ "images/train/270.png" ]
<image>Find x
44.9
[ "images/train/271.png" ]
<image>Find the measure of $\angle 7$ if $\overline{A B} \perp \overline{B C}$.
140
[ "images/train/272.png" ]
<image>Find the area of the figure. Round to the nearest tenth if necessary.
53.4
[ "images/train/273.png" ]
<image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\angle 6$.
38
[ "images/train/274.png" ]
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
315
[ "images/train/275.png" ]
<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.
6
[ "images/train/276.png" ]
<image>Find y.
3
[ "images/train/277.png" ]
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
46
[ "images/train/278.png" ]
<image>Find x.
15
[ "images/train/279.png" ]
<image>Find $x$.
50
[ "images/train/280.png" ]
<image>If $R T=16, Q P=24,$ and $S T=9,$ find $P S$
13.5
[ "images/train/281.png" ]
<image>Find $CP$.
8
[ "images/train/282.png" ]
<image>Circle $O$ has a radius of $10, A B=10$ and $m \overrightarrow{A B}=60 .$ Find $m\widehat{A Y}$
30
[ "images/train/283.png" ]
<image>Let $\overline{J K}$ be the median of $A B T Q .$ Find $J K$
78
[ "images/train/284.png" ]
<image>Find the perimeter of each polygon for the given information. $B Y=C Z=A X=2.5$ diameter of $\odot G=5$
15 \sqrt { 3 }
[ "images/train/285.png" ]
<image>In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\angle 1$.
123
[ "images/train/286.png" ]
<image>Find y
30
[ "images/train/287.png" ]
<image>Find $m \angle T$.
55
[ "images/train/288.png" ]
<image>Find $m\angle B$
120
[ "images/train/289.png" ]
<image>Find $m \angle 3$.
51
[ "images/train/290.png" ]
<image>Find x.
7 \sqrt { 2 }
[ "images/train/291.png" ]
<image>Each pair of polygons is similar. Find y
48.45
[ "images/train/292.png" ]
<image>Find $CD$ if $AB=6, AF=8, BC=x, CD=y$, $DE=2y-3,$ and $FE=x+\frac{10}{3}$
9
[ "images/train/293.png" ]
<image>Find the measure of $ \angle 1$ in the figure.
80
[ "images/train/294.png" ]
<image>Find $x$ so that the quadrilateral is a parallelogram
3
[ "images/train/295.png" ]
<image>What is the area of the shaded region if $r=4$.
64 - 16 \pi
[ "images/train/296.png" ]
<image>Rhombus $RSTU$ has an area of 675 square meters. Find $SU$.
45
[ "images/train/297.png" ]
<image>Use parallelogram $JKLM$ to find JK
6
[ "images/train/298.png" ]
<image>Find x in the figure.
16
[ "images/train/299.png" ]
<image>$\overline{QS}$ is a diameter of $\odot V$. Find $m \widehat {STP}$.
147