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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.
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