Answer
FG = 60 units
Explanation
We are told that F is between E and G.
EF = 4x - 20
FG = 2x + 30
EG = 100
If F is between E and G, then we can write that
EG = EF + FG
Substituting the given lengths
EG = EF + FG
100 = 4x - 20 + 2x + 30
100 = 6x + 10
6x + 10 = 100
6x = 100 - 10
6x = 90
Divide both sides by 6
(6x/6) = (90/6)
x = 15
We can then solve for FG now
FG = 2x + 30
= 2(15) + 30
= 30 + 30
= 60
Hope this Helps!!!
