Geometry

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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 -

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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