Question

..

Answer 1

I've drawn it out for you.

Answer 2

The segment addition postulate, I can only postulate, would say that the two segments added together equal the combined segment.

HI + IJ = HJ

Plug in what they gave you into the equation (which is what I included in my drawing to help you see it better).

Answer 3

I got 15

Answer 4

Can you show me your work? What did you plug in to get that answer?

Answer 5

6x15 + 8=98
2x - 4=26
98+26=124

Answer 6

Well, you certainly arrived at the right answer by plugging in each answer choice.

Do you know how to solve an equation though?

If we plug in what they told us

HI + IJ = HJ
(6x+8) + (2x-4) = 124
6x + 8 + 2x - 4 = 124
8x - 4 = 124
...
x = 15

Answer 7

So while your method certainly works, it's best to know how to solve it in case they don't give you answer choices

Answer 8

thank you

Answer 9

My pleasure!