Question

I've gotten most of the questions down pretty easily but I'm having a bit of trouble with this question. Thanks for helping me out y'all :)​

Answer 1

The midpoint of any segment is exactly in the middle, which splits our segment into two equal halves

In our problem,

E is the midpoint

DE = x + 5

FE = 3x - 7

FE = DE

Let's solve for x

3x - 7 = x + 5

Subtract x from both sides and add 7 to both sides.

2x = 12

Divide both sides by 2

x = 6

Let's plug this into DE.

DE = x + 5 = 6 + 5 = 11