Answer:
EG = 14
Step-by-step explanation:
If EF = x + 3 and EG = 5x − 6, what is EG?
EF + FG = EG by using segment addition.
(x+3) + (FG) = 5x-6
Since F is the midpoint, we know that EF = FG.
(x+3) + x+3 = 5x-6
2x+6 = 5x-6
Subtract 2x from each side.
2x+6-2x = 5x-6-2x
36 = x-6
Add 6 to each side.
6+6 = 3x-6+5
12=3x
Divide by 3.
3x/3 = 12/3
x=4
We want to find EG.
EG = 5x-6
=5*4 -6
= 20 -6
= 14
