Answer:
AB = 36
Step-by-step 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
