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17 July, 06:53

LMNP is a rectangle. Find the value of x and the length of each diagonal. LN = 13x-8 and MP = 9x+5

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  1. 17 July, 08:09
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    x = 3.25

    Each diagonal = 34.25.

    Step-by-step explanation:

    LMNP is a rectangle and it has diagonals LN and MP.

    Now, given that LN = 13x - 8 and MP = 9x + 5

    Now, we know that the two diagonals of a rectangle are of the same length.

    So, LN = MP

    ⇒ 13x - 8 = 9x + 5

    ⇒ 4x = 13

    ⇒ x = 3.25 (Answer)

    Therefore, the each diagonal is of (13 * 3.25 - 8) = 35.25 length. (Answer)
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