Answer:
B. x = 5
Step-by-step explanation:
Trapezoid are quadrilateral because they have 4 sides. From the trapezoid above, the side NO is parallel to side MP and are known as the base.
The median QR is parallel to each base(NO and MP). The length of the median QR equals one half the sum of the two parallel bases. Mathematically, this can be represented as
Length of median(QR) = 1/2 × (NO + MP)
12 = 1/2 × (8 + 2x + 6)
12 = 1/2 ×(14 + 2x)
cross multiplying
12 × 2 = 14 + 2x
24 = 14 + 2x
24 - 14 = 2x
10 = 2x
x = 10/2
x = 5
