Question

E is the midpoint of DF, DE= 2x+4 and EF = 3x-1 find DE,EF,DF

Answer 1

Since E is the midpoint of DF, then DE = EF, so...
2x+4 = 3x-1 Subtract 2x from both sides.
4 = x-1 Add 1 to both sides.
x = 5
DE = 2x+4 Substitute x = 5.
DE = 2(5)+4
DE = 14

EF = 3x-1 Substitute x = 5.
EF = 3(5)-1
EF = 14

DF = 14+14
DF = 28.