Segment DF bisects angle EDG. Find FG.

Question

segment EF is n+9
segment FG is 4n-6
Please Help me on this one question! I'd really appreciate it!
Thank You :)!

Answer 1

There's more info needed here.
Unless you know the distances DE and DG there's no way to be sure about EF and FG.

DF could be a very long line, DE could be short, and DG could be medium-length.

However, making the assumption that DE = EG, then we can make some headway.

In that case, EF = FG and so

n+9 = 4n-6
3n = 15
n=5

so EF = FG = 14

Answer 2

THANK YOU! :)

Answer 3

answers fg=16

Answer 4

aye steve man its been almost a decade. Crazy stuff dude.

Answer 5

Wow Steve, Tomorrow it will be a whole decade!!

Answer 6

Steve is a real one

Answer 7

woww thats crazyyy from 2011.. its may 26 2022 going 2023 soon.. sheesh

Answer 8

now its bouta be 2024