Answer:
Step-by-step explanation:
D lies between E and F.
Length of ED + Length DF = Length of EF
4x -2 + 5x - 7 = 6x + 18 {combine like terms}
4x + 5x - 2 - 7 = 6x +18
9x - 9 = 6x + 18 {Subtract 6x form both sides}
9x - 9 - 6x = 18
3x -9 = 18 {Add 9 to both sides}
3x = 18 + 9
3x = 27 {divide both sides by 3}
x = 27/3
x = 9
ED = 4x - 2 = 4*9 - 2 =36 - 2 = 34
DF = 5x - 7 = 5*9 - 7 = 45 - 7 = 38
EF = 6x + 18 = 6*9 + 18 = 54 + 18 = 72
