images images listlengths 1 1 | problem stringlengths 23 244 | answer stringlengths 1 34 |
|---|---|---|
<image>Question: Find $x$. | 2 | |
<image>Question: Find AX if $E X=24$ and $D E=7$ | 24 | |
<image>Question: One side of a square is a diameter of a circle. The length of one side of the square is 5 feet. To the nearest hundredth, what is the probability that a point chosen at random is in the shaded region? | 0.44 | |
<image>Question: Find x | 130 | |
<image>Question: Find the value of the variable $x$ in the figure. | 42 | |
<image>Question: Find $m\angle U$ | 60 | |
<image>Question: In the figure consisting of squares $A$, $B$, and $C$, $JK = 2KL$ and $KL = 2LM$. If the perimeter of the figure is 66 units, what is the area? | 189 | |
<image>Question: For trapezoid QRST, M and P are midpoints of the legs. If QR = 16, PM = 12, and TS = 4x, find x. | 2 | |
<image>Question: In the figure, $m∠3 = 43$. Find the measure of $\angle 10$. | 137 | |
<image>Question: Find $RS$. | 20 | |
<image>Question: Find the area of the shaded region. Round to the nearest tenth if necessary. | 45.7 | |
<image>Question: In $\odot Z, \angle W Z X \cong \angle X Z Y, m \angle V Z U=4 x$, $m \angle U Z Y=2 x+24,$ and $\overline{V Y}$ and $\overline{W U}$ are diameters.
Find $m\widehat{U Y}$ | 76 | |
<image>Question: Find $y$. | 16 | |
<image>Question: Polygon ABCD ~ polygon AEFG, $m\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.
Find BC | 12.8 | |
<image>Question: Find the perimeter of the parallelogram. Round to the nearest tenth if necessary. | 92 | |
<image>Question: Find the measure of the altitude drawn to the hypotenuse. | 7 \sqrt { 3 } | |
<image>Question: Find x. Round the angle measure to the nearest degree. | 72 | |
<image>Question: Quadrilateral DEFG is a rectangle. If DE = 14 + 2x and GF = 4(x - 3) + 6, find GF. | 34 | |
<image>Question: Find x. | 7 \sqrt { 2 } | |
<image>Question: Use parallelogram WXYZ to find $WZ$ | 24 | |
<image>Question: Find x. Assume that segments that appear to be tangent are tangent. | 7 | |
<image>Question: In the figure, $m∠1 = 123$. Find the measure of $\angle 6$. | 57 | |
<image>Question: Find the area of the parallelogram. Round to the nearest tenth if necessary. | 106.1 | |
<image>Question: Find $m \widehat{TU}$. | 46 | |
<image>Question: Find $BC$. | 23 | |
<image>Question: Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\angle 8$ if $m∠1 = 30$. | 30 | |
<image>Question: Find $UZ$. | 18 | |
<image>Question: Find x | 3 | |
<image>Question: For isosceles trapezoid $X Y Z W$ find $m \angle Z$ | 110 | |
<image>Question: Find the area of the quadrilateral. | 499.5 | |
<image>Question: Assume that the segment is tangent, find the value of $x$. | \sqrt { 93 } | |
<image>Question: Find $m\angle E$ | 102 | |
<image>Question: Find $x$ so that $ m \parallel n $. | 9 | |
<image>Question: Use parallelogram ABCD to find BC | 9 | |
<image>Question: Find $y$. | 5 | |
<image>Question: Find $x$. | 115 | |
<image>Question: Find $WT$, if $ZX = 20$ and $TY = 15$ | 5 | |
<image>Question: Each pair of polygons is similar. Find x | 30 | |
<image>Question: The segment is tangent to the circle. Find $x$. Round to the nearest tenth. | 10.7 | |
<image>Question: Find $m\angle A$ | 90 | |
<image>Question: Find the measure of $\angle 6$ if $\overline{A B} \perp \overline{B C}$. | 26 | |
<image>Question: Find $m \angle 2$. | 73 | |
<image>Question: $\odot P$ is inscribed in equilateral triangle $LMN$. What is the circumference of $\odot P$? | \frac { 8 } { \sqrt 3 } \pi | |
<image>Question: Find $E D$ if $A B=6, B C=4,$ and $A E=9$ | 6 | |
<image>Question: In rhombus $A B C D, m \angle D A B=2, m \angle A D C$ and $C B=6$. Find DA | 6 | |
<image>Question: Find x. Round to the nearest tenth if necessary. Assume that segments that appear
to be tangent are tangent. | 5 | |
<image>Question: Use a Pythagorean Triple to find x. | 50 | |
<image>Question: Find the perimeter of the figure. | 44 | |
<image>Question: Find the measure of $\angle 4$ in the figure. | 60 | |
<image>Question: In the figure, $\overline{CP}$ is an altitude, $\overline{CQ}$ is the angle bisector of $∠ACB$, and $R$ is the midpoint of $\overline{AB}$. Find $x$ if $m∠APC=72+x$. | 18 | |
<image>Question: In $\odot Z, P Z=Z Q$, $X Y=4 a-5,$ and $S T=-5 a+13$
Find $S Q$ | 1.5 | |
<image>Question: If $\overline{PR} \| \overline{WX}, WX=10, XY=6, WY=8, RY=5,$ and $PS=3,$ find $PQ$. | 6 | |
<image>Question: Find $RS$. | 25 | |
<image>Question: Find the area of the figure. Round to the nearest tenth if necessary. | 500 | |
<image>Question: In $\triangle ACE$, P is the centroid. $PF=6$ and $AD=15$. Find $PC$. | 12 | |
<image>Question: If $M D=7,$ find $R I$ | 14 | |
<image>Question: Find $\angle 6$ | 110 | |
<image>Question: Quadrilateral DEFG is a rectangle. If $DF = 2(x + 5) - 7$ and $EG = 3(x - 2)$, find EG. | 21 | |
<image>Question: Find $m \angle M$. | 30 | |
<image>Question: Refer to trapezoid $CDFG$ with median $\overline{HE}$. Find $GF$. | 30 | |
<image>Question: Find $m \angle H$. | 106 | |
<image>Question: Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent. | 17.1 | |
<image>Question: Find the measure of $\angle S$ | 71 | |
<image>Question: Find $y$ so that each quadrilateral is a parallelogram. | 24 | |
<image>Question: Find x. | 12 | |
<image>Question: In $\odot G, m \angle A G B=30$ and $\overline{C G} \perp \overline{G D}$.
Find $m \widehat{B C}$ | 60 | |
<image>Question: In the figure, $m ∠ 12 = 64$. Find the measure of $ \angle 11$. | 116 | |
<image>Question: Find the area of the parallelogram. Round to the nearest tenth if necessary. | 480 | |
<image>Question: Use parallelogram to find $b$ | 3 | |
<image>Question: Find the area of the shaded sector. Round to the nearest tenth, if necessary. | 10.0 | |
<image>Question: Find $BD$. | 5 | |
<image>Question: If $QR=2$, $XW=12$, $QW=15$, and $ST=5$, find $WV$. | 7.5 | |
<image>Question: Express the ratio of $\tan C$ as a decimal to the nearest hundredth. | 0.75 | |
<image>Question: Find x. | 6 | |
<image>Question: In rhombus LMPQ, $m \angle Q L M=2 x^{2}-10$, $m \angle Q P M=8 x$, and $M P=10$ .
Find $m\angle LQM$ | 70 | |
<image>Question: Find $y$. | 7.5 | |
<image>Question: For trapezoid QRTU, V and S are midpoints of the legs. If QR = 12 and UT = 22, find VS. | 17 | |
<image>Question: Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent. | 3.1 | |
<image>Question: $J$ is the incenter of $\angle ABC$. Find $JF$. | 9 | |
<image>Question: Find the area of the trapezoid. | 84 | |
<image>Question: Find z. | \sqrt { 646 } | |
<image>Question: Find x | \frac { 40 } { 3 } | |
<image>Question: Find the area of the figure. Round to the nearest tenth if necessary. | 286 | |
<image>Question: What is the perimeter of the triangle shown below? Round to the nearest tenth. | 325.6 | |
<image>Question: Find $x$. | 60 | |
<image>Question: The diameters of $\odot A, \odot B,$ and $\odot C$ are 10, 30 and 10 units, respectively. Find AZ if $\overline{A Z} \cong \overline{C W}$ and $C W=2$ | 2 | |
<image>Question: Find $m\angle D$ | 101 | |
<image>Question: Find the perimeter of the figure. | 50 | |
<image>Question: Find the area of the parallelogram. Round to the nearest tenth if necessary. | 1520 | |
<image>Question: The radius of $\odot P$ is 5 and $P R=3$. Find QS | 8 | |
<image>Question: Find the area of the kite. | 10.5 | |
<image>Question: Quadrilateral WXYZ is a rectangle. If $ZY = 2x + 3$ and $WX = x + 4$, find $WX$. | 5 | |
<image>Question: Find x. Round the side measure to the nearest tenth. | 37.2 | |
<image>Question: Find $YZ$. | 8 | |
<image>Question: In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠8$. | 73 | |
<image>Question: For the pair of similar figures, find the area of the green figure. | 78.4 | |
<image>Question: Find the variable of $q$ to the nearest tenth. Assume that segments that appear to be tangent are tangent. | 9.0 | |
<image>Question: Find the perimeter of $\triangle A B C$ | 30 | |
<image>Question: If $x=7 \sqrt{3},$ find $CE$ | 21 | |
<image>Question: Find x. Assume that any segment that appears to be tangent is tangent. | 5 |
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