Answer:
A) x = 15
B) FG = 60
Explanation:
Part A)
The sum of the lengths of segments EF and FG equals the length of segment EG.
EF + FG = EG
4x - 20 + 2x + 30 = 100
6x + 10 = 100
6x = 90
x = 90/6
x = 15
Part B)
FG with a bar on top means segment FG. It has no value.
FG with no bar on top means the length of FG.
FG = 2x + 30
FG = 2(15) + 30
FG = 30 + 30
FG = 60