The diagonals of a rectangle are AC = 5x-4 and BD = 7x-18. Solve for x

Question

The diagonals of a rectangle are AC = 5x-4 and BD = 7x-18.
Solve for x

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Maris 4 years 2021-09-05T06:26:24+00:00 1 Answers 15 views 0

Answers ( )

  1. Gerda
    0
    2021-09-05T06:27:29+00:00
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    Answer:

    x = 7

    Step-by-step explanation:

    The diagonals of a rectangle are congruent , so

    BD = AC , that is

    7x – 18 = 5x – 4 ( subtract 5x from both sides )

    2x – 18 = – 4 ( add 18 to both sides )

    2x = 14 ( divide both sides by 2 )

    x = 7

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