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mezya [45]
3 years ago
10

For what values of x and y must the figure have in order to be a parallelogram

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
5 0

<u>Given</u>:

Given that the parallelogram with the lengths 5x, 3x + 1, 2y - 5 and y.

We need to determine the values of x and y.

<u>Values of x and y:</u>

We know the property that the opposite sides of a parallelogram are congruent.

Thus, we have;

5x=2y-5 ------- (1)

3x+1=y  ------- (2)

The value of x and y can be determined using the substitution method.

Substituting equation (2) in equation (1), we have;

5x=2(3x+1)-5

5x=6x+2-5

5x=6x-3

-x=-3

  x=3

Thus, the value of x is 3.

Substituting x = 3 in equation (2), we have;

3(3)+1=y

    9+1=y

         10=y

Thus, the value of y is 10.

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