Question

Hey what is this I need help

Answer 1

Help

Answer 2

u in geometry?

Answer 3

Given the identical angles you can assume that triangle DEF is similar to triangle DGF, and since side DF in triangle DEF is congruent to side DF in triangle DGF, then you can assume triangles DEF and DGF are congruent. So side FG is the same length as FE. You can set the expressions equal to each other where n + 9 = 4n - 6.
Solve for n:
9 = 4n - n - 6
9 = 3n - 6
9 + 6 = 3n
15 = 3n
15 / 3 = n
5 = n
Now substitute n for the expression that is the length of FG which is 4n - 6
4 * (5) - 6 = length FG
20 - 6 = length FG
14 = length FG

Answer 4

14