Question

F is between E and G. EF=4x-20, FG=2x+30, and EG=100. Find FG

Answer 1

FG = 60 units

Step-by-step 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!!!