ABCD is a rectangle. AB = 3x+5, AC = 7x-9, BC = 2y+5, BD = 2x+62. Solve for x. (Round your answer to one decimal place, if necessary.)

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PlankTon asked Mar 8, 2022

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ABCD is a rectangle. AB = 3x+5, AC = 7x-9, BC = 2y+5, BD = 2x+62. Solve for x. (Round your answer to one decimal place, if necessary.)

ABCD is a rectangle. AB = 3x+5, AC = 7x-9, BC = 2y+5, BD = 2x+62. Solve for x. (Round-example-1

Mathematics
high-school

PlankTon asked Mar 8, 2022

by PlankTon

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Answer:

x=14.2

Explanation:

AC = BD

The diagonals of a rectangle are equal

7x-9 = 2x+62

Subtract 2x from each side

7x-9-2x = 2x+62-2x

5x-9 = 62

Add 9 to each side

5x-9+9 = 62+9

5x= 71

Divide by 5

5x/5 = 71/5

x=14.2

Daniel Selvan answered Mar 12, 2022

by Daniel Selvan

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