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  1. x = 2

    step-by-step explanation:

    if sr parallel to ba then the sides bc and ac are in proportion, that is

    [tex]\frac{sb}{cs}[/tex] = [tex]\frac{ra}{cr}[/tex] ← substitute values

    [tex]\frac{4x+1}{2x}[/tex] = [tex]\frac{13.5}{6}[/tex] ( cross- multiply )

    27x = 6(4x + 1)

    27x = 24x + 6 ( subtract 24x from both sides )

    3x = 6 ( divide both sides by 3 )

    x = 2

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