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: The constant of variation value of 7.
Step-by-step explanation: We are given cost of 0.8 meter of a silk ribbon = $5.60.
Let us assume y be the total cost for x meter of a silk ribbon and k is the constant of variation.
So, we can set up an equation for proportion relationship:
y = k x.
<em>Let us plug x=0.8 and y= 5.60,</em> in above proportion relationship equation, we get
5.60 = k (0.8).
Dividing both sides by 0.8, we get
5.60/0.8 = k(0.8)/0.8
k =7.
Therefore, the constant of variation value of 7.
Answer: D) It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Step-by-step explanation:
slope is y2-y1/x2-x1
20-10/7-7
10/0
denominator can't be 0
(x+2) + 3(x+2)
x+2+3x+6
.. ( collect like terms )
= 4x+2+6
= 4x + 8 is your answer
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