zholland3
zholland3 zholland3
  • 14-01-2021
  • Mathematics
contestada


please help me i need to solve for RS

please help me i need to solve for RS class=

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 15-01-2021

Answer:

        RS = 47

Step-by-step explanation:

RV=VU and SW=WT    ⇒    [tex]VW=\dfrac{RS+UT}{2}[/tex]

So:

[tex]3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}\\\\3x+5=4x-11\\^{\qquad-5\qquad-5}\\3x=4x-16\\^{-4x\qquad-4x}\\-x=-16\\^{\div(-1)\quad\div(-1)}\\x=16\\\\RS=2x+15=2\cdot16+15=32+15=47[/tex]

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