we know that
The sum of the internal angles in the triangle must be
degrees
see the attached figure with letters to better understand the problem
Step 
<u>Find the measure of the angle x</u>
In the triangle ABC

solve for x



therefore
<u>the answer Part a) is</u>
the measure of angle x is 
Step 
<u>Find the measure of the angle z</u>
we know that
--------> by supplementary angles
substitute the value of x



therefore
<u>the answer Part b) is</u>
the measure of angle z is 
Step 
<u>Find the measure of the angle y</u>
In the triangle ACD

solve for y




therefore
<u>the answer Part c) is</u>
the measure of angle y is 
A: From the graph, car B was traveling faster.
Because the line of car B is more steep than the line of car A.
B:
The lines cross at (2,80), this means that the two cars were traveling at the same distance (80 miles) at the same time (2 hours).
C:
Since the line passes through the points (0,0) and (2,80)
So the unit rate or slope is 40 mph.
The distance which car A traveled in the first four hours = 4x40= 160 mph
Answer:
x = 8
Step-by-step explanation:
2x + 46 = 7x + 6
Add -2x and -6 on both sides.
46 - 6 = 7x - 2x
40 = 5x
Divide 5 into both sides.
40/5 = x
8 = x
Answer:
-2
Step-by-step explanation:
Remember to follow PEMDAS. First solve parenthesis, power, multiplication, then add.
(5 - 2) = 3
(-4)² = (-4)(-4) = 16
3(-6) = -18
16 + (-18) = 16 - 18 = -2
-2 is your answer.
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