Question

Solve for x, and find the length for each Segment

X=________
AB=_______
BC=_______
AC=_______
Can you show work how you got the answers as well. That would mean so much!!

Answer 1

If AB = BC then you can solve for x which might a good first step. From the givens and the way the diagram is marked, you have

AB = BC

x + 6 = 2x + 12 This is an impossible condition. Using 3x - 31 doesn't help very much

x + 6 + 2x + 12 = 3x - 31

3x + 18 = 3x - 31 From which (if you subtract 3x from both sides

18 = - 31 which never going to be true.

Let's go back to AB = BC

x + 6 = 2x + 12 Subtract x from both sides.

6 = 2x - x + 12

6 = x + 12 Subtract 12 from both sides.

6 - 12 = x

x = - 6

When you check this result, you get

x + 6 = -6 + 6 = 0

2x + 12 = 2*-6 + 12 = 0

X = -6

AB = 0

BC = 0

AC = 0