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Bom dia Rafaela!
Solução!
Para resolver esse exercício vamos escreve-lo como se fosse uma proporção.
![Sendo!\\\\\\\
\overline{DE}//\overline{BC}](https://tex.z-dn.net/?f=Sendo%21%5C%5C%5C%5C%5C%5C%5C%0A%5Coverline%7BDE%7D%2F%2F%5Coverline%7BBC%7D "Sendo!\\\\\\\
\overline{DE}//\overline{BC}")
![x+y=9\\\\\\
\dfrac{x}{2}= \dfrac{y}{3}= \dfrac{9}{5}\\\\\\
Valor~~de~~x\\\\\\\
\dfrac{x}{2}=\dfrac{9}{5}\\\\\\
5x=18\\\\\\\
\boxed{x= \dfrac{18}{5}}\\\\\\\\
Valor~~de~~y\\\\\\\
\dfrac{y}{3}= \dfrac{9}{5}\\\\\\\
5y=27\\\\\\
\boxed{y= <br />\dfrac{27}{5} }](https://tex.z-dn.net/?f=x%2By%3D9%5C%5C%5C%5C%5C%5C%0A+%5Cdfrac%7Bx%7D%7B2%7D%3D+%5Cdfrac%7By%7D%7B3%7D%3D+%5Cdfrac%7B9%7D%7B5%7D%5C%5C%5C%5C%5C%5C%0AValor%7E%7Ede%7E%7Ex%5C%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7Bx%7D%7B2%7D%3D%5Cdfrac%7B9%7D%7B5%7D%5C%5C%5C%5C%5C%5C%0A5x%3D18%5C%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7Bx%3D+%5Cdfrac%7B18%7D%7B5%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%0AValor%7E%7Ede%7E%7Ey%5C%5C%5C%5C%5C%5C%5C%0A+%5Cdfrac%7By%7D%7B3%7D%3D+%5Cdfrac%7B9%7D%7B5%7D%5C%5C%5C%5C%5C%5C%5C%0A5y%3D27%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7By%3D+%3Cbr+%2F%3E%5Cdfrac%7B27%7D%7B5%7D+%7D%0A%0A%0A+++ "x+y=9\\\\\\
\dfrac{x}{2}= \dfrac{y}{3}= \dfrac{9}{5}\\\\\\
Valor~~de~~x\\\\\\\
\dfrac{x}{2}=\dfrac{9}{5}\\\\\\
5x=18\\\\\\\
\boxed{x= \dfrac{18}{5}}\\\\\\\\
Valor~~de~~y\\\\\\\
\dfrac{y}{3}= \dfrac{9}{5}\\\\\\\
5y=27\\\\\\
\boxed{y= <br />\dfrac{27}{5} }")
Bom dia!
Bons estudos!
Solução!
Para resolver esse exercício vamos escreve-lo como se fosse uma proporção.
Bom dia!
Bons estudos!
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