Answer:
Option C is correct.
The value of x = 8 , EF = 7 and FG = 16
Step-by-step explanation:
Given : [tex]EF = 3x-17[/tex] , [tex]FG = 4x-16[/tex] and [tex]EG = 23[/tex]
From the given figure.
EG = EF + EG
Substitute the given values we have;
[tex]23 = 3x-17+4x-16[/tex]
Combine like terms;
[tex]23 = 7x-33[/tex]
Add 33 both sides we get;
[tex]56= 7x[/tex]
Divide both sides by 7 we get;
8 = x
or
x = 8
EF = 3x -17 = 3(8) -17 = 24 -17 = 7
FG = 4x-16 = 4(8) -16 = 32-16 = 16
therefore, the value of x = 8 , EF = 7 and FG = 16
