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Figure CDEF is a parallelogram.

Parallelogram C D E F is shown. The length of F C is 10 r minus 20, the length of C D is 2 r + 12, and the length of D E is 6 r.

What is the value of r?

2
3
4
5

Respuesta :

bec97

Answer:

5

Step-by-step explanation:

We know that FC = 10r - 20 and that DE = 6r. They can make an equation together since they are parallel and congruent. That gives us the equation

10r - 20 = 6r

-20 = -4r

5 = r

OR

10r - 20 = 6r

10 = 6r + 20

4r = 20

r = 5

Either way, you still get the answer of r = 5.

akposevictor

The value of r in the given parallelogram is: D. 5.

What is a Parallelogram?

A parallelogram has two pairs of sides opposite each other that are congruent to each other.

Thus:

DE = FC (congruent sides)

Substitute

6r = 10r - 20

Combine like terms

6r - 10r = -20

-4r = -20

r = 5

Thus, the value of r in the given parallelogram is: D. 5.

Learn more about parallelogram on:

https://brainly.com/question/12167853

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