The expressions 10/12(245b−365) and 2/3(3b+6) represent the lengths of the diagonals of parallelogram WXYZ. For what value of b is WXYZ a rectangle?

b =

The value of b in WXYZ a rectangle is 1.52

For  WXYZ to be a rectangle, the diagonal must be equal. Therefore,

10/12(245b−365) = 2/3(3b+6)

2450b / 12 - 3650 / 12 = 2b + 4

2450b / 12  - 2b  = 3650 / 12 + 4

204.166666667 b - 2b  = 304.166666667 + 4

202.166666667 b = 308.166666667

divide both sides by 202.166666667

b = 308.166666667 / 202.166666667

b = 1.52431986558

b = 1.52

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b = 1.52

Step-by-step explanation:

Length of diagonals of a parallelogram = and

If the given parallelogram is a rectangle,

Length of the diagonals will be equal in measure,

Therefore,

245b - 365 =

245b - 365 =

5(245b - 365) = 4(3b + 6)

1225b - 1825 = 12b + 24

1225b - 12b = 24 + 1825

1213b = 1849

b =

b = 1.52

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step-by-step explanation:

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c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.