Answer:
D. x = 7
Step-by-step explanation:
Midsegment of a trapezium = ½(sum of the lengths of the parallel bases) => Trapezoid midsegment theorem
Thus:
QR = ½(NO + MP)
QR = 14
NO = 8
MP = 2x + 6
Plug in the values into the equation
14 = ½(8 + 2x + 6)
14 × 2 = ½(8 + 2x + 6)×2
28 = 8 + 2x + 6
28 = 14 + 2x
28 - 14 = 14 + 2x - 14
14 = 2x
14/2 = 2x/2
7 = x
x = 7
