Answer:
x = 9
Step-by-step explanation:
According to the midsegment theorem,
HG = ½(QS)
Thus:
21 + 2x = ½(2x + 24)
Multiply both sides by 2
2(21 + 2x) = 2x + 24
42 + 4x = 2x + 24
Collect like terms
42 - 24 = 2x - 4x
-18 = -2x
Divide both sides by -2
9 = x
x = 9
