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If SU=b+18 and SW=4b, find the value of b that makes quadrilateral TUVW a parallelogram.WVUTSb=Submit

If SU=b+18 and SW=4b, find the value of b that makes quadrilateral TUVW a parallelogram-example-1
User Eric Mickelsen
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1 Answer

18 votes
18 votes

If we want to make quadrilateral TUVW a parallelogram, we need to set the next equality SU= SW.

This is given because diagonals on a parallelogram bisect each other.

Now, we need to replace:

SU= SW.

b + 18 = 4b

Solve for b:

18 = 4b - b

18 = 3b

6 =b

Hence, the correct answer is b=6.

User Nex
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3.3k points