Question

Df bisects angle EDG. Find FG. The diagram is not to scale.

Answer 1

When a ray bisects an angle, the angle is divided into 2 equal parts, which means EF = EG.

We can set the two expressions equal to each other and solve for n.

n + 9 = 4n - 6

Would you like to solve for n?

Answer 2

Yes i would

Answer 3

Did you solve it? or do you need help?

Answer 4

could I have help?

Answer 5

Sure,

n + 9 = 4n - 6

We have to isolate the variable, so let's start by adding 6 to both sides.

n + 9 = 4n - 6
+ 6 + 6

What would the equation look like now? Do you know the next step?

Answer 6

n+15=4n?

Answer 7

Yeah!

Now, lets subtract n from both sides

n + 15 = 4n
- n - n

What are we left with after subtracting n?

Answer 8

No, we can't add n, we have to subtract it, does that make sense?

Answer 9

yes it does

Answer 10

thank you

Answer 11

Great, so what do you have now, after subtracting?

Answer 12

15=3n

Answer 13

yess!!

Now, do you know what the final step is?

Answer 14

would i divide by 3 and get 5 as my final answer?

Answer 15

Yesss!! Good job! :D

Now that we know n = 5,

We can plug 5 into 4n - 6.

Would you like to do that?

Answer 16

4(5)-6=14?

Answer 17

Yay!! That's correct! You did great! :D

That means the final answer is FG = 14

Answer 18

hi