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4 Emilio is given the triangle shown below. Emilio represents the perimeter of the triangle with the equation (5w-13)+(2w+6)+2(5w+15)=P, where P is the perimeter of the triangle. Which equation is correctly solved for w ? A. w=(P-23)/(17) B. w=(P+49)/(17)

44 Emilio is given the triangle shown below.\newlineEmilio represents the perimeter of the triangle with the equation (5w−13)+(2w+6)+2(5w+15)=P (5 w-13)+(2 w+6)+2(5 w+15)=P , where P P is the perimeter of the triangle.\newlineWhich equation is correctly solved for w w ?\newlineA. w=P−2317 w=\frac{P-23}{17} \newlineB. w=P+4917 w=\frac{P+49}{17}

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Full solution

Q. 44 Emilio is given the triangle shown below.\newlineEmilio represents the perimeter of the triangle with the equation (5w−13)+(2w+6)+2(5w+15)=P (5 w-13)+(2 w+6)+2(5 w+15)=P , where P P is the perimeter of the triangle.\newlineWhich equation is correctly solved for w w ?\newlineA. w=P−2317 w=\frac{P-23}{17} \newlineB. w=P+4917 w=\frac{P+49}{17}
  1. Combine like terms: Combine like terms on the left side of the equation.\newline(5w−13)+(2w+6)+2(5w+15)=P(5w - 13) + (2w + 6) + 2(5w + 15) = P\newline5w+2w+10w−13+6+30=P5w + 2w + 10w - 13 + 6 + 30 = P\newline17w+23=P17w + 23 = P
  2. Solve for ww: Solve for ww by subtracting 2323 from both sides.\newline17w=P−2317w = P - 23
  3. Divide to isolate ww: Divide both sides by 1717 to isolate ww.w=P−2317w = \frac{P - 23}{17}

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