Exam 10: Probability and Counting Techniques

In triangle ABC, angle C is a right angle. Find the measure of angle B if side b = 141 m and side c = 204 m. Round to the nearest degree. A) $54 ^ { \circ }$ В) $42 ^ { \circ }$ C) $44 ^ { \circ }$ D) $48 ^ { \circ }$

$\text { Identify the figure. }$

The triangles in the figure below are similar. Use the proportional property of similar triangles to find the measure of $x$ .

The angle of elevation from ground level to the top of a building is $79 ^ { \circ }$ . If the observer is standing 300 feet from the building, how tall is the building?

Find the surface area and volume.

$\text { Classify the triangle according to sides and angles. }$

$\text { Identify angles } 3 \text { and } 7 \text { as alternate interior, alternate exterior, corresponding, or vertical. }$

Iteration and self-similarity are two defining characteristics of _____________.

$\text { Use the Pythagorean theorem to find the measure of side } x \text {. }$

Suppose the pyramid below has a square base with side of length 9 meters and has height from the base to the apex of 14 meters. Find the volume of the pyramid. A) $378 \mathrm {~m} ^ { 3 }$ B) $1134 \mathrm {~m} ^ { 3 }$ C) $126 \mathrm {~m} ^ { 3 }$ D) $567 \mathrm {~m} ^ { 3 }$

Which quadrilateral is a trapezoid? A) B) C) D)

In the triangle shown, side $y$ measures 36 meters and side $z$ measures 39 meters. Use the Pythagorean theorem to find the measure of side $x$ .

In triangle ABC, angle C is a right angle. Find the measure of angle A if side b = 36 m and side c = 137 m. Round to the nearest degree.

$\text { Find the value of } x \text {. }$

In elliptic geometry, the sum of the interior angles of a triangle is _______.

$\text { Identify the figure. }$

$\text { Identify and name the figure. }$

In triangle $A B C$ , angle $C$ is a right angle. Find the measure of side $\mathrm { c }$ if the measure of angle $A$ is $69 ^ { \circ }$ and side $b = 60$ in.

$\text { Find the area. Figure is not drawn to scale. }$

Use the proportional property of similar triangles to find the measure of $x$ (the measure of $\overline { E D }$ ) if the measure of $\overline { C D }$ is 64 .