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Margaret [11]
3 years ago
14

Please help!! What is RS?

Mathematics
1 answer:
Reil [10]3 years ago
3 0

Answer:

<h2>         RS = 47</h2>

Step-by-step explanation:

RV=VU and SW=WT    means    VW=\frac{RS+UT}{2}

So:

3x+5=\dfrac{2x+15+6x-37}{2} \\^{\qquad\times2\qquad\qquad\qquad\qquad\times2} \\6x+10=8x-22\\^{\qquad-10\qquad-10}\\6x=8x-32\\^{-8x\qquad-8x}\\-2x=-32\\^{\div(-2)\quad\div(-2)}\\x=16\\\\RS=2x+15=2\times16+15=32+15=47

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