Question

Parallelogram A B C D is shown. The length of A B is (9 x minus 14) inches and the length of D C is (3 x + 4) inches. In parallelogram ABCD, what is DC? 3 in. 9 in. 13 in. 19 in.

Answer 1

13in

Explanation:

Answer 2

Given:

In a parallelogram ABCD, AB=(9x-14) inches and DC=(3x+4) inches.

To find:

The measure of DC.

Solution:

We know that opposite sides of a parallelogram are equal.

In the parallelogram ABCD, AB and DC are opposite sides. So,

`AB=DC`

`9x-14=3x+4`

`9x-3x=14+4`

`6x=18`

Divide both sides by 6.

`x=(18)/(6)`

`x=3`

Now,

`DC=3x+4` inches

`DC=3(3)+4` inches

`DC=9+4` inches

`DC=13` inches

The measure of DC is 13 in.

Therefore, the correct option is C.