Theorem
In a triangle, the measure of an exterior angle equals the sum of the measures of its two remote interior angles.
x + y = z
4n - 18 + n + 8 = 133 - 6n
5n - 10 = 133 - 6n
11n = 143
n = 13
z = 133 - 6n = 133 - 6(13) = 133 - 78 = 55
Answer: C. 55
Answer:
24
Step-by-step explanation:
This a special right triangle with angle measures of 30° 60° 90°
The side length that sees angle measure 30° is represented with a, the one that sees 90° is represented by 2a and the one that sees 60° is represented by a√2
AC sees angle B which has an angle measure of 60
(6√2)×(√2) = 24
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Divide by 3 on both sides
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V = pi r^2 h
v = 3.14 * 5^2 * 15
v = 3.14 * 25 * 15
v = 1177.5 in^3
