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8 January, 11:24

if PQ || RS and the slope of PQ = x-1/4 and the slope of RS is 3/8 then find the value of x justify algebraically and numerically

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  1. 8 January, 11:33
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    The value of x is 5/8.

    Step-by-step explanation:

    Given,

    The lines PQ and RS are parallel to each other. slope of PQ = x-1/4 slope of RS = 3/8

    The slopes of parallel lines are equal.

    slope of PQ = slope of RS

    ⇒ x-1/4 = 3/8

    ⇒ (4x-1) / 4 = 3/8

    ⇒ 8 (4x-1) = 4 (3)

    ⇒ 32x-8 = 12

    ⇒ 32x = 20

    x = 20/32

    x = 5/8
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