Question

Last question i promise...... DF bisects EDG. Find FG. The diagram is not to scale.

Answer 1

There is a theorem that states that in a situation exactly like this, (right angles on the bisector, etc.) the two lengths, FE and FG are congruent. So, set them equal to each other.
n + 9 = 4n - 6
Solve for n and plug it back in to either n + 9 or 4n - 6 to get the answer.

Answer 2

I am honestly still very confused....

Answer 3

What are you confused ON?

Answer 4

Trying to find FG

Answer 5

Ok. Do you know how to solve for n in the equation:
n + 9 = 4n - 6?

Answer 6

thats the part i keep getting stuck on.... i always end up with n=3 somehow

Answer 7

Ok I'll get you closer.
n + 9 = 4n - 6 This is the equation that you set up using geometry.
n - n + 9 = 4n - n - 6 Subtract n from both sides.
0 + 9 = 3n - 6 Simplify by combining like terms. (n - n = 0)
9 = 3n - 6 0 + anything is still that number.
9 + 6 = 3n - 6 + 6 Add 6 to both sides to get the constant (number without an x) together.
15 = 3n Simplify by combining like terms.
15 ÷ 3 = 3n ÷ 3 Divide both sides by 3 in order to further isolate n.
5 = n or n = 5 (Interchangeable)
Do you see how I got n?
Now, use this "n" and plug it into 4n - 6 because FG = 4n - 6
FG = 4n - 6
FG = 4(5) - 6
Can you finish up?

Answer 8

FG=14

Answer 9

Yup :) FG = 14
Do you kinda sort of see how I got n?

Answer 10

Yes and thank you so much for going easy on me. Im not very good at geometry >-<

Answer 11

Don't worry about it! Everybody can have trouble at math and it's understandable. :)