Answer:
EF = 34, FG = 25
Step-by-step explanation:
EG is the total of the two smaller segments, EF and FG.
Therefore:
8x-14 + 4x+1 = EG
8x-14 + 4x+1 = 59
Now we can solve this equation.
8x-14 + 4x+1 = 59
12x-13 = 59
12x = 72
x = 6
Now, we can plug in the values of x into the expressions for the lengths of EF and FG:
EF
8x-14
8(6)-14
48-14
= 34
FG
4x+1
4(6)+1
24+1
= 25
