Question

MNOP is a trapezoid with median QR find X

Answer 1

Answer:

B

Step-by-step explanation:

Since QR is the median and it is 12. and NO is 8. 12-8=4.

So I'm going to say 2x+6 will equal 16.

2x+6=16

2x=10

x=5

Answer 2

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