Question

DF bisects EDG Find the value of x. The diagram is not to scale.

Answer 1

@Directrix

Answer 2

All points on the bisector of an angle are equidistant from the sides of the angle.

Therefore, because segment DF bisects <EDG, then 3x + 96 = 15x

The task is to solve: 3x + 96 = 15 for x.

Answer 3

3x = 81

Answer 4

My Error: If left off the x that goes with the 15 in one of the two posting above.

3x + 96 = 15x

3x - 15x = -96

-12x = -96

x = ?

Answer 5

8

Answer 6

That is what I got.

Answer 7

df bisects EDG. Find FG. The diagram is not to scale.
@Directrix

Answer 8

@phi is u able to help me

Answer 9

do you agree the side EF= side FG
(we could show the triangles are congruent)

Answer 10

side EF= side FG
you can write down an equation

can you write down the equation ?

Answer 11

no

Answer 12

Do you see they labeled the length of side EF ? what does it say ?

Answer 13

n + 8

Answer 14

yes. and side FG is also labeled. what does it say ?

Answer 15

3n-6

Answer 16

the idea is those two lengths are equal.
can you write down the equation?

Answer 17

n+8=3n-6

Answer 18

yes,

to find the length of FG we need to know n. but we have an equation that we can solve.

n+8 = 3n-6

I would add -n to both sides, like this
n -n + 8 = 3n -1n -6

can you simplify that ?

Answer 19

how would i do it @phi

Answer 20

@Mr.NiceGuy27 can u help me

Answer 21

Hmm, as far as I can understand, line DF should divide the angle into 2, that means that the sides should be equal
so, n + 8 = 3n-6
but I can't find my answer on the choices provided.

Answer 22

so how do i get the answer

Answer 23

@ehuman can u help

Answer 24

@DeeBush96