Answer:
x = 7
Step-by-step explanation:
The mid segment is half the sum of the parallel bases, that is
[tex]\frac{16+4x-4}{2}[/tex] = 20
[tex]\frac{12+4x}{2}[/tex] = 20
6 + 2x = 20 ( subtract 6 from both sides )
2x = 14 ( divide both sides by 2 )
x = 7
