Answer:
EF = 58
Explanation:
From the question given, we obtained the following information:
DF = 9x – 39
DE = 47
EF = 3x + 10
EF =?
We'll begin by calculating the value of x.
This can be obtained as follow:
DF = DE + EF
DF = 9x – 39
DE = 47
EF = 3x + 10
DF = DE + EF
9x – 39 = 47 + 3x + 10
9x – 39 = 47 + 10 + 3x
9x – 39 = 57 + 3x
Collect like terms
9x – 3x = 57 + 39
6x = 96
Divide both side by 6
x = 96/6
x = 16
Finally, we shall determine the value of EF as follow:
EF =?
x = 16
EF = 3x + 10
EF = 3(16) + 10
EF = 48 + 10
EF = 58