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:7x+9
Step-by-step explanation:7x+6=3x+7=7x+9
Answer:
A. 24:56
Step-by-step explanation:
Let's find the answer by considering that 'X' represents the employees that earn the bonus and 'Y' the employees that didn't.
Where:
X=24
Y=56
Now, ''Express the number of employees who received the bonus as an unsimplified ratio to the number of employees who didn't receive the bonus'' means:
employees that earn the bonus : employees that didn't receive the bonus
which is:
X:Y = 24:56
In summary, the answer is A. 24:56.
In this problem there might be a number that you need to add before the "( x 3)" then your answer will be 20 = 32 - 12 = 20