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Home
SAT
Math Section
Geometry and Trigonometry

Set - 6

Premium Content

Chief Editor

Mar 27, 2024

0

Table of Contents

$Right triangles $LMN$ and $PQR$ are similar, where $L$ and $M$ correspond to $P$ and $Q$, respectively. Angle $M$ has a measure of 53${}^{\,\ast}$. What is the measure of angle $Q$?$
$In a right triangle, the measure of one of the acute angles is 51deg. What is the measure, in degrees, of the other acute angle?$
$A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an area of 75 cm$^{2}$, and the height of the can is 10 cm. If 110 cm$^{3}$ of syrup is needed to fill the can to the top, which of the following is closest to the total volume of the pieces of fruit in the can?$
$A right triangle has sides of length $2\sqrt{2}$, $6\sqrt{2}$, and $sqrt{80}$ units. What is the area of the triangle, in square units?$
$What is the perimeter, in inches, of a rectangle with a length of 4 inches and a width of 9 inches?$
$A circle in the $xy$-plane has its center at $(-4,5)$ and the point $(-8,8)$ lies on the circle. Which equation represents this circle?$
$A cube has a surface area of 54 square meters. What is the volume, in cubic meters, of the cube?$
$Triangle $FGH$ is similar to triangle $JKL$, where angle $F$ corresponds to angle $J$ and angles $\mathcal{G}$ and $K$ are right angles. If $\sin(F)=\frac{308}{317}$, what is the value of $\sin(J)$?$

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Right triangles $LMN$ and $PQR$ are similar, where $L$ and $M$ correspond to $P$ and $Q$, respectively. Angle $M$ has a measure of $53^{\circ}$. What is the measure of angle $Q$?

Difficulty: Medium

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A:

37^{\circ}

B:

53^{\circ}

C:

127^{\circ}

D:

143^{\circ}

View Solution Steps