Geometry
posted by Ash .
B is the midpoint of Symbol for segment A C. .
AB=5x+2
AC=12x2
What is the value of BC? Show your work for credit.
Line segment A C with point B on it.

Did you make a sketch?
On my diagram
length(BC) = length(AC)  length(AB)
= 12x2  (5x+2)
= 7x4
but B is the mipoint, so AB = BC
7x4 = 5x+2
2x = 6
x = 3
then BC = 7(3)4 = 17
check:
AB = 17
AC = 12(3)2 = 34
BC = 17 , YUP!!