Question

E is the midpoint of AB. If
AE = 4x +6 and EB = 10x - 12.
what is AB?

Answer 1

AB = 36

Explanation:

Since E is the midpoint of AB, then

AE = EB , substitute values

4x + 6 = 10x - 12 ( subtract 10x from both sides )

- 6x + 6 = - 12 ( subtract 6 from both sides )

- 6x = - 18 ( divide both sides by - 6 )

x = 3

Thus

AB = AE + EB = 4x + 6 + 10x - 12 = 14x - 6 = 14(3) - 6 = 42 - 6 = 36