Question

calcule o valor de X​

Answer 1

Resposta:

a) x=9º              b=17º            c=16º

Explicação passo-a-passo:

$a) (5x+5\º) + (3x+13\º)= 90\º\\\\5x+3x+5\º+13\º= 90\º\\\\8x= 90\º - 18\º\\\\x= \frac{72\º}{8}\\\\\bold{x=9\º} \\\\\bold{5x+5\º= 5(9\º)+5\º= 45\º+5\º= 50\º} \\\\\bold{3x+13\º= 3(9\º)+13\º= 27\º+13\º= 40\º}$

$b) (5x-27\º) + (x+15\º)= 90\º\\\\5x+x-27\º+15\º= 90\º\\\\6x= 90\º +12\º\\\\x= \frac{102\º}{6}\\\\\bold{x=17\º} \\\\\bold{5x-27\º= 5(17\º)-27\º= 85\º-27\º= 58\º} \\\\\bold{x+15\º= (17\º)+15\º= 32\º}$

$c) (4x-6\º) + (2x)= 90\º\\\\4x+2x-6\º= 90\º\\\\6x= 90\º +6\º\\\\6x= \frac{96\º}{6}\\\\\bold{x=16\º} \\\\\bold{4x-6\º= 4(16\º)-6\º= 64\º-6\º= 58\º} \\\\\bold{2x\º= 2(16\º)=32\º}$

Saludos :-)