Question

dertemine o valor de Alfa nos casos:

Answer 1

a)

$2x-10+x+40=90\\ 3x=90-40+10\\ 3x=60\\ x=\frac{60}{3}\\ x=20\\\\ \alpha=x+40\\ \alpha=20+40\\ \alpha=60$

b)

$3x-15=x+35\\ 3x-x=35+15\\ 2x=50\\ x=\frac{50}{2}\\ x=25\\\\ \alpha +x+35=180\\ \alpha +25+35=180\\ \alpha +60=180\\ \alpha =180-60\\ \alpha=120$

c)

$x+y=2x-y\\ y+y=2x-x\\ 2y=x\\ ou\\ x=2y\\\\ x+y+4x-2y=180\\ 5x-y=180\\ 5(2y)-y=180\\ 10y-y=180\\ 9y=180\\ y=\frac{180}{9}\\ y=20\\\\ x=2y\\ x=2.20\\ x=40\\\\ \alpha=4x-2y\\ \alpha=4.40-2.20\\ \alpha=160-40\\ \alpha=120$