Answer:
DE = 32
EF = 34
DF = 66
Step-by-step explanation:
DE + EF = DF from the segment addition postulate
3x+5 + 4x-2 = 66
Combine like terms
7x+3 = 66
Subtract 3 from each side
7x+3-3 = 66-3
7x = 63
Divide each side by 7
7x/7 = 63/7
x = 9
DE = 3x+5 = 3(9)+5 = 27+5 = 32
EF = 4x-2 = 4(9) -2 = 36-2 = 34
DF = 66
