Please help!! What is RS?

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asked Mar 19, 2022 189k views

19 votes

Please help!! What is RS?

Mathematics
high-school

Ilya Shevyryaev asked

by Ilya Shevyryaev

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1 Answer

5 votes

Answer:

RS = 47

Explanation:

RV=VU and SW=WT means
VW=(RS+UT)/(2)

So:

$3x+5=(2x+15+6x-37)/(2) \\^(\qquad*2\qquad\qquad\qquad\qquad*2) \\6x+10=8x-22\\^(\qquad-10\qquad-10)\\6x=8x-32\\^(-8x\qquad-8x)\\-2x=-32\\^(/(-2)\quad/(-2))\\x=16\\\\RS=2x+15=2*16+15=32+15=47$

Eric Hulser answered Mar 25, 2022

by Eric Hulser

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RS = 47

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