Posted by **Ash** on Thursday, July 1, 2010 at 11:11pm.

B is the midpoint of Symbol for segment A C. .

AB=5x+2

AC=12x-2

What is the value of BC? Show your work for credit.

Line segment A C with point B on it.

- Geometry -
**Reiny**, Friday, July 2, 2010 at 8:25am
Did you make a sketch?

On my diagram

length(BC) = length(AC) - length(AB)

= 12x-2 - (5x+2)

= 7x-4

but B is the mipoint, so AB = BC

7x-4 = 5x+2

2x = 6

x = 3

then BC = 7(3)-4 = 17

check:

AB = 17

AC = 12(3)-2 = 34

BC = 17 , YUP!!

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