Question

If d is the midpoint of ef,ed =3x+1,ef=4x+12 find ed

Answer 1

Since the line contains a midpoint, both sides of the line will be equal each other and exactly one half of the entire line

so basically ed = df
and ed + df = ef

first, we find the value of x
$2(3x + 1) = 4x + 12$
$6x + 2 = 4x + 12$
$2x = 10$
$x = 5$

plug x back into the equation for ef
$4(5) + 12 = ef$
$20 + 12 = ef$
$32 = ef$