Answer:
C. 
Step-by-step explanation:
We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.
Law of cosines:
, where, a, b and c are sides opposite to angles A, B and C respectively.
Upon substituting our given values in law of cosines, we will get:








Now, we will use inverse cosine or arc-cos to solve for angle Z as:



Therefore, the measure of angle Z is approximately 51 degrees.
Answer:
A. 1
Step-by-step explanation:
12x + 6 = 5x
12x - 5x = - 6
7x = - 6
x = - 6 / 7
Only one solution.
Answer:
52
Step-by-step explanation:
120 x .25 = 30
120 - 30 = 90
90 x 0.2 = 18
90 - 18 = 72
72 -20 = <u>52</u>
Answer and explanation:
m∠4 = 32°
m∠2 is a vertical angle to m∠4