Following the principle of supplements angles, the angle next to the 101 is 79°. 79+38+c(call the third angle c) = 180
c = 180-117 =63° x is supplemental to c so 180 = x +c
180=x + 63
x =117
Answer:
A
Step-by-step explanation:
7% of x = 450
0.07×x=450
x=450/0.07
x=6428.6 to the nearest tenth (one decimal place)
Answer:
100.42 feet
Step-by-step explanation:
Since the triangle has a right angle, we may find the length of the unknown side using the trigonometric notations SOH CAH TOA where
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
Given that the measure of ∠D=90°, the measure of ∠B=75°, and CD = 97 feet
CD is the opposite side facing ∠B, BC is the hypotenuse side hence
Sin 75 = 97/BC
BC = 97/Sin 75°
= 100.42 feet
