Question

Calcule o valor de x

Answer 1

Resposta:

x= 12º

Explicação passo-a-passo:

$\left(\dfrac{23x}{4} +4\º\right) + \left(\dfrac{13x}{3} +55\º\right) = 180\º\\\\\\\dfrac{23x}{4} +\dfrac{13x}{3}+4\º +55\º = 180\º\\\\\\\dfrac{23x}{4} +\dfrac{13x}{3} = 180\º-4\º-55\º\\\\\\\dfrac{23*3x}{12} +\dfrac{13*4x}{12} =121\º\\\\\\\dfrac{69x}{12} +\dfrac{52x}{12} =121\º\\\\\\\dfrac{121x}{12} =121\º\\\\\\x=121\º:\dfrac{121x}{12}\qquad\to\qquad\bold{x=12\º}$

$\bold{\left(\dfrac{23x}{4} +4\º\right)= \left(\dfrac{23*12}{4} +4\º\right) =69\º+4\º= 73\º}\\\\\\\\\bold{\left(\dfrac{13x}{3} +55\º\right)= \left(\dfrac{13*12}{3} +55\º\right) =52\º+55\º= 107\º}$

Saludos :-)