Question

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

Answer 1

36

Explanation:

Since E is the midpoint, AE and EB are equal. We can write this as such,

4x+6=10x-12 if we solve from here we get 6x=18. Simplify to get x=3. sub in three for x in the AE equation, 4(3)+6 and solve. You'd get 18 as your answer. Double that to get the solution since AE= 1/2AB. 18*2= 36

AB=36