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`