find the value of "w" that makes this quadrilateral a parallelogram.

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06-06-2022
Mathematics

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find the value of "w" that makes this quadrilateral a parallelogram.

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31507idn 31507idn · Answer 1 · 2022-06-06T18:15:12-04:00

31507idn 31507idn

06-06-2022

Answer:

w=7

Step-by-step explanation:

A parallelogram is defined as a four-sided plane rectilinear figure with opposite sides parallel. This means that GH and FE must be equivalent, and HE and GF must be equivalent. Now, we just use those equations to solve.
16w-63=7w
9w-63=0

9w=63

w=7!!!
and we can double check.

16w-81=15w-74
16w=15w+7
w=7

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