Geometry...somethign about midpoints?

Question

In the figure below, EC bisects AD at C, and EF bisects AC at B. For each of the following, find the value of x and the measure of the indicated segment.

AB=3x+6, BC=2x+14 ; AC

(figure is in the link)

Answer 1

If EF bisects AC at B, that means that AB = BC.

So 3x + 6 = 2x + 14.  That is the equation to solve.

Then use the x that you find to get AC because

AC = AB + BC or

AC = 3x + 6 + 2x + 14