If EF = 4x - 16, FG = 3x - 6, and EG = 27, find the values of x, EF, and FG.

The summation of the lengths of Ef and FG would give us the length of EG.

This means that:

EF + FG = EG

4x - 16 + 3x - 6 = 27

7x = 27 + 16 + 6

7x = 49

x = 49/7 = 7

Therefore:

EF = 4 (7) - 16 = 12 unit length

FG = 3 (7) - 6 = 15 unit length