Answer:
64°
Step-by-step explanation:
Angles in a straight line add up to 180° so 180° - 116° = 64°
Answer:
T=5
Step-by-step explanation:
5 -3 = 10/t
2 =10/t
2t = 10
T = 5
Answer:
6.3 feet
Step-by-step explanation:
use pythagorean theorem
a² + b² = c²
a² + 3² = 7²
a² + 9 = 49
Subtract 9 from both side
a² = 40
Take the square root of both sides
a = 6.324555320336759
Rounded
a = 6.3
Answer:
4:1
Step-by-step explanation:
x+20 : y+20 = 5 : 2
(x+20)/(y+20) = 5/2
2(x+20) = 5(y+20)
2x+40 = 5y+100
2x = 5y+60 (1)
x-5 : y-5 = 5:1
(x-5)/(y-5) = 5/1
x-5 = 5(y-5)
x-5 = 5y-25
x = 5y-20 (2)
Solve (1) & (2) simultaneously,
2(5y-20) = 5y+60
10y-40 = 5y+60
5y = 100
y = 20
x = 5y-20
x = 5(20)-20 = 100-20
x = 80
x:y
80:20
4:1
