01) Calcule o valor de X nas figuras abaixo.
Soluções para a tarefa
Resposta:
Explicação passo-a-passo:
O ANGULO RETO VALE 90°
O ANGULO NA HORIZONTAL VALE 180°
CALCULO PROVA
a)2X+10°+X+20°=90 2.(20)+10+20+20=90
2X+X=90°-10°-20° 40+50=90
3X=60° 90=90
X=60/3
X=20
b)X+2X+X=90° 22,5°+2.(22,5°)+22,5°=90°
4X=90° 45°+45°=90°
X=90°/4 90°=90°
X=22,5°
c)30+4X+2X=90 30+4.(10)+2.(10)=90
4X+2X=90-30 30+40+20=90
6X=60 70+20=90
X=60/6 90°=90°
X=10°
d)X+60+4X=90 6+60+4.6=90
X+4X=90-60 66+24=90
5X=30 90=90
X=30/5
X=6
e)X/4+40=90 200/4+40=90
X/4=90-40 50+40=90
X/4=50/1 90=90
X.1=50.4
X=200
f)2X+2X=90 2.(22,5)+2.(22,5)=90
4X=90 45+45=90
X=90/4 90=90
X=12,5
g)75+X=90 70+15=90
X=90-75 90=90
X=15
h)3X+60+X-15=90 3.(11,25)+60+11,25-15=90
3X+X=90-60+15 33,75+11,25+45=90
4X=45 45+45=90
X=45/4 90=90
X=11,25
i)4X+60+X+X=180 4.(20)+60+20+20=180
4X+X+X=180-60 80+100=180
6X=120 180=180
X=120/6
X=20
j)2X/2+X/3=180 2.(216)/6+216/6=180
2X/6+3X/6=180 432/6+216/6=180
5X/6=180/1 648/6=180
5X.1=6.180 180=180
5X=1080
X=1080/5
X=216
k)X+X+X+X=180 45+45+45+45=90
4X=180 90+90=180
X=180/4 180=180
X=45
l)3X-5+110=180 3.(25)-5+110=180
3X=180-110+5 75+105=180
3X=75 180=180
X=75/3
X=25