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| answer
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|---|---|---|---|---|---|
<image>If $x=7 \sqrt{3},$ find $y$ | 21 \sqrt { 3 } | 386 | [
"7",
"7 \\sqrt { 3 }",
"21 \\sqrt { 3 }",
"63"
] | C |
|
<image>The segment is tangent to the circle. Find $x$. | 9 | 487 | [
"7",
"8",
"9",
"10"
] | C |
|
<image>In the figure, $m∠1 = 123$. Find the measure of $\angle 16$. | 57 | 1,720 | [
"47",
"57",
"67",
"123"
] | B |
|
<image>$\overline{AD}$ and $\overline{CG}$ are diameters of $\odot B$. Find $m \widehat {CD}$. | 55 | 1,284 | [
"35",
"45",
"55",
"65"
] | C |
|
<image>Find $BC$. | 10 | 1,916 | [
"5",
"8",
"10",
"12"
] | C |
|
<image>In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠4$. | 107 | 624 | [
"75",
"97",
"107",
"117"
] | C |
|
<image>$\overline{HK}$ and $\overline{IG}$ are diameters of $\odot L$. Find $m \widehat {HI}$. | 59 | 1,159 | [
"31",
"59",
"65",
"135"
] | B |
|
<image>Triangle $JKL$ is circumscribed about $\odot R$. Find the perimeter of $\triangle JKL$. | 52 | 843 | [
"38",
"52",
"54",
"74"
] | B |
|
<image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\angle 7$. | 110 | 1,549 | [
"110",
"120",
"130",
"140"
] | A |
|
<image>RSTV is a trapezoid with bases $\overline{R V}$ and $\overline{S T}$ and median $\overline{M N}$. Find $x$ if $M N=60, S T=4 x-1,$ and $R V=6 x+11$ | 11 | 766 | [
"11",
"44",
"60",
"77"
] | A |
|
<image>Find y. | 10 | 467 | [
"5",
"5 \\sqrt { 2 }",
"5 \\sqrt { 3 }",
"10"
] | D |
|
<image>Find $XY$. | 7 | 1,170 | [
"3.5",
"7",
"34",
"41"
] | B |
|
<image>Find $x$. | 7 | 1,006 | [
"5",
"6",
"7",
"8"
] | C |
|
<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth. | 10.6 | 253 | [
"10.6",
"15.2",
"15.6",
"18.1"
] | A |
|
<image>Find x. Round the angle measure to the nearest degree | 112 | 463 | [
"108",
"112",
"116",
"120"
] | B |
|
<image>Find $y$ so that the quadrilateral is a parallelogram. | 7 | 1,042 | [
"7",
"14",
"15",
"21"
] | A |
|
<image>Find $m \angle 2$. | 39 | 203 | [
"26",
"39",
"55",
"62"
] | B |
|
<image>Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent. | 4 | 565 | [
"2",
"3",
"4",
"5"
] | C |
|
<image>Find $m \angle 3$. | 133 | 627 | [
"37.5",
"52.5",
"105",
"133"
] | D |
|
<image>Find the area of the shaded sector. Round to the nearest tenth. | 39.3 | 405 | [
"32.7",
"39.3",
"114.6",
"153.9"
] | B |
|
<image>Circles $G, J,$ and $K$ all intersect at $L$ If $G H=10,$ find JK | 2.5 | 1,746 | [
"2.5",
"5",
"10",
"15"
] | A |
|
<image>Quadrilateral WXYZ is a rectangle. If $XW = 3$, $WZ = 4$, and $XZ = b$, find $YW$. | 5 | 482 | [
"3",
"4",
"5",
"6"
] | C |
|
<image>Find y. | 1.5 | 2,037 | [
"1.5",
"2",
"2.5",
"3"
] | A |
|
<image>Find $y$ so that each quadrilateral is a parallelogram. | 6 | 1,033 | [
"2",
"3",
"6",
"12"
] | C |
|
<image>Find $y$. | 11 | 1,088 | [
"9",
"11",
"12",
"20"
] | B |
|
<image>Find the perimeter of the figure. Round to the nearest hundredth, if necessary. | 37.9 | 1,192 | [
"32",
"33.8",
"35.4",
"37.9"
] | D |
|
<image>Find $m \widehat {GJF}$. | 196 | 1,890 | [
"82",
"164",
"196",
"216"
] | C |
|
<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 | 609 | [
"90",
"135",
"180",
"270"
] | D |
|
<image>If $SP=4, PT=6$, and $QR=12$, find $SQ$. | 8 | 433 | [
"4",
"6",
"8",
"12"
] | C |
|
<image>Find x. | 2 \sqrt { 10 } | 2,081 | [
"4",
"2 \\sqrt { 5 }",
"2 \\sqrt { 6 }",
"2 \\sqrt { 10 }"
] | D |
|
<image>Find $m \angle 5$. | 110 | 1,797 | [
"95",
"100",
"110",
"115"
] | C |
|
<image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure. | \frac { 6 } { 5 } | 1,586 | [
"\\frac { 25 } { 36 }",
"\\frac { 5 } { 6 }",
"\\frac { 6 } { 5 }",
"\\frac { 36 } { 25 }"
] | C |
|
<image>Find z | 25 | 372 | [
"17",
"20",
"21",
"25"
] | D |
|
<image>Find the area of the shaded region. Round to the nearest tenth if necessary. | 108.5 | 1,318 | [
"75.0",
"108.5",
"118.1",
"127.7"
] | B |
|
<image>Find $x$ in $\triangle P Q R$ | 2 \sqrt { 6 } | 1,276 | [
"2 \\sqrt { 3 }",
"2 \\sqrt { 6 }",
"4 \\sqrt { 3 }",
"4 \\sqrt { 6 }"
] | B |
|
<image>Find the area of the kite. | 72 | 516 | [
"72",
"80",
"88",
"96"
] | A |
|
<image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find CE | \sqrt { 63 } | 1,444 | [
"\\sqrt { 63 }",
"\\sqrt { 70 }",
"9",
"12"
] | A |
|
<image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\angle ABD = 55$ . Find $m\angle ACB$ | 35 | 882 | [
"9",
"12",
"21",
"35"
] | D |
|
<image>Find $AB$. | 29 | 313 | [
"11",
"15",
"26",
"29"
] | D |
|
<image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure. | \frac { 4 } { 5 } | 1,532 | [
"\\frac { 16 } { 25 }",
"\\frac { 4 } { 5 }",
"\\frac { 5 } { 4 }",
"\\frac { 25 } { 16 }"
] | B |
|
<image>If $LN=12.4$, what is $JM$? | 6.2 | 1,569 | [
"3.1",
"6.2",
"9.3",
"12.4"
] | B |
|
<image>The area of $▱ A B C D$ is 150 square meters. The area of $▱ F G H J$ is 54 square meters. If $▱ A B C D \sim ▱ F G H J$, find the value of $x$. | 6 | 879 | [
"3.6",
"6",
"16.7",
"27.8"
] | B |
|
<image>Use parallelogram ABCD to find $m \angle BCF $ | 49 | 985 | [
"34",
"49",
"54",
"83"
] | B |
|
<image>Quadrilateral DEFG is a rectangle. If $DF = 2(x + 5) - 7$ and $EG = 3(x - 2)$, find EG. | 21 | 1,380 | [
"6.5",
"10",
"21",
"30"
] | C |
|
<image>Find the measure of $\angle D$ | 46 | 1,356 | [
"46",
"92",
"110",
"143"
] | A |
|
<image>Each pair of polygons is similar. Find BC | 8 | 262 | [
"6.25",
"8",
"10",
"12"
] | B |
|
<image>$m∠19 = 100 + 20x$, $m∠20 = 20x $. Find the measure of $\angle 20$. | 40 | 1,150 | [
"20",
"40",
"60",
"80"
] | B |
|
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary. | 60 | 1,882 | [
"30",
"50",
"60",
"156"
] | C |
|
<image>Find x | 3 | 1,095 | [
"3",
"4",
"5",
"6"
] | A |
|
<image>Find x | 3 | 924 | [
"3",
"3 \\sqrt { 2 }",
"6",
"6 \\sqrt { 2 }"
] | A |
|
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary. | 38.4 | 972 | [
"19.2",
"38.4",
"70.0",
"76.8"
] | B |
|
<image>isosceles trapezoid TWYZ with $\angle Z \cong \angle Y, m \angle Z=30 x$, $\angle T \cong \angle W,$ and $m \angle T=20 x$, find $\angle W$ | 72 | 755 | [
"62",
"72",
"108",
"118"
] | B |
|
<image>Find x. Round the angle measure to the nearest degree | 72 | 1,991 | [
"68",
"72",
"76",
"80"
] | B |
|
<image>Use parallelogram to find $b$ | 3 | 1,219 | [
"2",
"3",
"14",
"17"
] | B |
|
<image>$\overline{RS}$ bisects $\angle VRU$. Solve for $x$. | 10 | 2,085 | [
"5.6",
"7",
"8",
"10"
] | D |
|
<image>$m$ is the perpendicular bisector of $XZ$, $WZ=4a-15$ and $WZ=a+12$. Find $WX$. | 21 | 92 | [
"12",
"15",
"21",
"22.4"
] | C |
|
<image>Find $x$. | 7 | 800 | [
"3",
"4",
"7",
"12"
] | C |
|
<image>Use parallelogram $JKLM$ to find JK | 6 | 681 | [
"4.5",
"6",
"10",
"12"
] | B |
|
<image>Find the measure of $XT$. | 7 | 2,070 | [
"3.5",
"7",
"14",
"28"
] | B |
|
<image>Find the area of the figure. | 64 | 1,645 | [
"16",
"32",
"64",
"128"
] | C |
|
<image>Find x | 117 | 1,819 | [
"33",
"51",
"84",
"117"
] | D |
|
<image>Find the value of x. | 130 | 1,768 | [
"30",
"90",
"110",
"130"
] | D |
|
<image>Find the value of the variable $x$ in the figure. | 42 | 794 | [
"42",
"47",
"48",
"96"
] | A |
|
<image>Find x. Round the angle measure to the nearest degree. | 48 | 1,459 | [
"43",
"48",
"53",
"58"
] | B |
|
<image>Each pair of polygons is similar. Find y | 14 | 910 | [
"12",
"14",
"20",
"88"
] | B |
|
<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 | 1,311 | [
"54.4",
"97.6",
"108.8",
"184.2"
] | A |
|
<image>Find x | 20 | 1,225 | [
"20",
"42",
"52",
"84"
] | A |
|
<image>If $m \angle S=3x$ and $m \angle V=x+16$, find $m \angle S$. | 24 | 336 | [
"16",
"24",
"32",
"48"
] | B |
|
<image>Find the area of the figure. Round to the nearest tenth. | 231 | 1,651 | [
"189",
"231",
"294",
"336"
] | B |
|
<image>Find the exact circumference of $\odot P$ | 13 \pi | 874 | [
"13",
"12 \\pi",
"40.84",
"13 \\pi"
] | D |
|
<image>Find $m\angle A$ | 122 | 279 | [
"112",
"118",
"120",
"122"
] | D |
|
<image>If $AD=27,AB=8$, and $AE=12$, find $BC$. | 10 | 16 | [
"8",
"10",
"12",
"13.5"
] | B |
|
<image>Find y. | 20 | 1,689 | [
"10",
"20",
"10 \\sqrt { 6 }",
"30"
] | B |
|
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary. | 13.7 | 1,839 | [
"10",
"13.7",
"14.9",
"16"
] | B |
|
<image>Find y. | 1 | 2,030 | [
"\\frac { \\sqrt { 3 } } { 3 }",
"1",
"\\sqrt { 3 }",
"3"
] | B |
|
<image>Quadrilateral $ABDC$ is a rectangle. Find $m \angle 6$ if $ m\angle 1 = 38$. | 38 | 1,496 | [
"38",
"52",
"108",
"132"
] | A |
|
<image>Find the area of the figure. Round to the nearest tenth. | 3.5 | 1,306 | [
"1.2",
"3.5",
"8.6",
"10.2"
] | B |
|
<image>Find the area of the shaded region formed by the circle and regular polygon. Round to the nearest tenth. | 2.5 | 1,528 | [
"0.7",
"2.5",
"6.6",
"15.0"
] | B |
|
<image>Find x. Assume that segments that appear to be tangent are tangent. | 36 | 1,872 | [
"15",
"21",
"36",
"72"
] | C |
|
<image>$P$ is the incenter of $\angle XYZ$. Find $PK$. | 16 | 1,188 | [
"8",
"12",
"16",
"20"
] | C |
|
<image> $m \widehat{G H}=78$ Find $m\angle 2$ | 51 | 233 | [
"39",
"51",
"78",
"114"
] | B |
|
<image>If $ABCDE \sim PQRST,$ find the perimeter of $ABCDE$. | 30 | 403 | [
"22.5",
"27.5",
"30",
"35"
] | C |
|
<image>Find x | 59 | 1,195 | [
"59",
"117",
"125",
"342"
] | A |
|
<image>If $\overline{E C}$ is an altitude of $\triangle A E D, m \angle 1=2 x+7,$ and $m \angle 2=3 x+13,$ find $m \angle 2$. | 55 | 1,808 | [
"25",
"35",
"45",
"55"
] | D |
|
<image>Find $m \angle C$. | 122 | 1,251 | [
"80",
"100",
"112",
"122"
] | D |
|
<image>Find x. Assume that segments that appear to be tangent are tangent. | 10 | 792 | [
"3",
"6",
"8",
"10"
] | D |
|
<image>Find $x$. | 7 | 694 | [
"5",
"7",
"8",
"10"
] | B |
|
<image>Find x so that $GJ \parallel FK$. $H J=x-5, J K=15, F G=18, H G=x-4
| 10 | 1,320 | [
"10",
"12",
"15",
"18"
] | A |
|
<image>Find y | \sqrt { 33 } | 1,220 | [
"\\sqrt { 29 }",
"\\sqrt { 31 }",
"\\sqrt { 33 }",
"\\sqrt { 35 }"
] | C |
|
<image>Find x | 4 \sqrt { 29 } | 1,169 | [
"4 \\sqrt { 29 }",
"25",
"33",
"\\sqrt { 1714 }"
] | A |
|
<image>Find $m \angle 1$. | 62 | 407 | [
"39",
"55",
"62",
"83"
] | C |
|
<image>Find $x$ so that each quadrilateral is a parallelogram. | 8 | 815 | [
"4",
"8",
"16",
"24"
] | B |
|
<image>For the pair of similar figures, find the area of the green figure. | 240 | 1,402 | [
"15",
"30",
"120",
"240"
] | D |
|
<image>Find tanB | 5 | 326 | [
"3",
"5",
"8",
"10"
] | B |
|
<image>For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x, PM = 20, and QR = 6x, find x. | 5 | 307 | [
"5",
"10",
"15",
"30"
] | A |
|
<image>For trapezoid QRTU, V and S are midpoints of the legs. If TU = 26 and SV = 17, find QR. | 8 | 571 | [
"8",
"12",
"20",
"34"
] | A |
|
<image>Find the value of x. | 95 | 303 | [
"65",
"90",
"95",
"110"
] | C |
|
<image>Find $y$ so that $\overline{BE}$ and $\overline{AD}$ are perpendicular. | 8.3 | 369 | [
"6.7",
"8.3",
"10",
"90"
] | B |
|
<image>Find x. Round to the nearest tenth if necessary. | 2 | 838 | [
"2",
"3",
"6",
"9"
] | A |
|
<image>Find $y$ in the figure. | 45 | 1,584 | [
"31",
"45",
"56",
"75"
] | B |
Subsets and Splits