Question

AJUDEM PFVV

(Estudo, n eh cola!!!)

Answer 1

Resposta:

Explicação passo a passo:

$x+2x+y=180\°\\3x+y=180\°$

$2x+100\°+120\°+z=360\°\\2x+220\°+z=360\\2x+z=360\°-220\°\\2x+z=140\°$

$x+x+(180\°-z)=180\°\\2x+180\°-z=180\°\\2x-z=180\°-180\°\\2x-z=0\\2x=z\\x=\frac{z}{2}$

$Vamos\;reunir\:as\:3\:equcoes...$

$\{3x+y=180\°\:(equacao\:1)$

$\{2x+z=140\°\:(equacao\:2)$

$\{x=\frac{z}{2} \:(equacao\:3)$

$Substituimos\:x=\frac{z}{2}\:na\:(equacao\:2)$

$2x+z=140\°\\2.(\frac{z}{2})+z=140\°\\z+z=140\°\\2z=140\°\\z=140\°/2\\z=70\°$

$Achamos\:z...Vamos\:em\:busca\:de\;"x"...$

$x=\frac{z}{2\\}\\\\x=\frac{70\°}{2}\\\\x=35\°$

$Achamos\:x...Vamos\:em\:busca\:de\;"y"...$

$3x+y=180\°\\3.(35\°)+y=180\°\\105\°+y=180\°\\y=180\°-105\°\\y=75\°$

$Ja\:temos\:"x"\:e\:"y"...$

$x=35\\y=75$

$A\;questao\:pede\:x^{2} +y$

$x^{2} +y=\\(35)^{2} +75=\\1225+75=\\1300$

$Portanto...$

$x^{2} +y=1300$

$Espero\:ter\:ajudado!$