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4 August, 06:25

Suppose S is between R and T. Use the segment addition postulate to solve for each variable. RS = 7y-4, ST = y+5, RT = 28

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  1. 4 August, 06:27
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    RS+ST=RT

    RS=7y-4

    ST=y+5 using RS and RT in the first equation gives you:

    7y-4+y+5=RT combine like terms on left side

    8y+1=RT, and we are told that RT=28 so:

    8y+1=28 subtract 1 from both sides

    8y=27 divide both sides by 8

    y=27/8

    (RS=19 5/8, ST=8 3/8, RT=28)
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