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7 December, 11:26

pqrs is a quadrilateral with diagonals pr and sq intersecting each other at o. if po = x+y, or=22cm, qo=x+4 and os=12cm, find x and y so that pqrs is a parallelogram

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  1. 7 December, 11:40
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    x = 8 cm

    y = 14 cm

    Step-by-step explanation:

    If the quadrilateral is a parallelogram, the diagonals have an intersection that cuts each one in half, so we have that po = or and qo = os:

    x + y = 22

    x + 4 = 12

    First we can find the value of x with the second equation:

    x + 4 = 12

    x = 8 cm

    Then, we can find the value of y with the first equation:

    x + y = 22

    8 + y = 22

    y = 14 cm
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