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Makovka662 [10]
3 years ago
7

the expressions 4b-6 and 2b+4 represent the lengths of the diagonals of parallelogram wxyz for what value of b is wxyz a rectang

le
Mathematics
1 answer:
MAXImum [283]3 years ago
4 0

Answer:  b = 5

Step-by-step explanation:

Here parallelogram wxyz has diagonals,

4b-6 and 2b+4

Since, If a parallelogram has a equal pair of congruent or equal diagonal it is called a rectangle.

Thus, if wxyz is a rectangle,

Then, 4 b - 6 = 2 b + 4

⇒ 4b = 2 b + 4 + 6

⇒ 4 b = 2 b + 10

⇒ 4 b - 2 b = 10

⇒ 2 b = 10

⇒ b = 5

Hence, for b = 5,  wxyz is a rectangle.

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3 years ago
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