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6 June, 02:24

If DE=4x-1, EF=9 and DF=9x-22, find the value of x

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  1. 6 June, 02:43
    0
    x = 6

    Step-by-step explanation:

    From the given information we can write the equation

    DF = DE + EF (substitute the values for the segments)

    9x - 22 = 4x - 1 + 9

    9x - 22 = 4x + 8 (subtract 4x from both sides)

    5x - 22 = 8 (add 22 to both sides)

    5x = 30 (divide both sides by 5)

    x = 6
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