Answer:
EF = 8
Step-by-step explanation:
The following data were obtained from the question:
EF = 2x
FG = 8
EG = 4x
EF =?
To obtain the value of EF, we shall first, obtain the value of x. This can be obtained as follow:
EG = EF + FG
EF = 2x
FG = 8
EG = 4x
4x = 2x + 8
Collect like terms
4x – 2x = 8
2x = 8
Divide both side by 2
x = 8/2
x = 4
Therefore, the value of x is 4.
Finally, we shall determine the the value of EF as follow:
EF = 2x
x = 4
EF = 2x
EF = 2(4)
EF = 8
**** Check ****
EG = EF + FG
EF = 2x
EG = 4x
FG = 8
4x = 2x + 8
x = 4
4(4) = 2(4) + 8
16 = 8 + 8
16 = 16
