Answer:
x = 40 degrees
Step-by-step explanation:
We are given that AB and CD are parallel to each other and they are cut by a transversal.
The angle 40 is complementary to angle z, so this means that they have the same measure by the complementary angles theorem.
Complementary are angles that occupy the same space on one parallel line compared to the other parallel line.
Angle z = 40 degrees
The angle does not matter. Think of it as finding the other side to a triangle. Use

a=39 (line AB)
b=b (the leg we need to find)
c=89 (line BD)


(subtract the 1521 from both sides)

(square root both sides)

b = 80
AD=80
Step-by-step explanation:
A) 3x + 8 = 23
3x = 23 - 8
3x = 15
x = 15 / 3 = 5
B) 5x + 1 = 3x + 17
5x - 3x = 17 - 1
2x = 16
x = 16 /2 = 8
C) 4 (x+2) = 32
4x + 8 = 32
4x = 32 - 8
4x = 24
x = 24 / 4 = 6
4 * 2 = 8
8 + 5 = 13
B, is the correct answer
No.1
r=9
No.3
r=10.5ft
No.5
C=132m
No.7
C=25.12
No.9
44
No.11
264cm
No.13
97.34m
No.15
47.1
No.17
Am not sure
Hope this helps though