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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.

Sagot :

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,

[tex]AB=DC[/tex]

[tex]9x-14=3x+4[/tex]

[tex]9x-3x=14+4[/tex]

[tex]6x=18[/tex]

Divide both sides by 6.

[tex]x=\dfrac{18}{6}[/tex]

[tex]x=3[/tex]

Now,

[tex]DC=3x+4[/tex] inches

[tex]DC=3(3)+4[/tex] inches

[tex]DC=9+4[/tex] inches

[tex]DC=13[/tex] inches

The measure of DC is 13 in.

Therefore, the correct option is C.

Answer:

13in

Step-by-step explanation:

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