B is the midpoint of AC. AB = 3x - 10 and BC = x + 4. What is the length of AC?

Question

NEED HELP

Answer 1

The midpoint of a line is a point that is exactly halfway between the two end points. It will split a line into two equal parts. If point B splits line AC into two equal parts, then you can set the two equations equal to each other and solve to find x:

3x-10 = x +4

2x = 14

x=7

If x is 7, then AB= 11 and BC=11.

AB + BC = AC, so the length of the whole line is 11 +11 = 22

Answer 2

What is the meaning of "mid-point"?