Answer:61.8°
Step-by-step explanation:
Length of arc=(theta)/360 x 2 x π x radius
9.7=(theta)/360 x 2 x 3.14 x 9
9.7=56.52(theta)/360
cross multiply
9.7 x 360=56.52(theta)
3492=56.52(theta)
Divide both sides by 56.52
3492/56.52=56.52(theta)/56.52
61.8=theta
theta=61.8°
22-6=16. 16÷4=4. Each ticket costs $4.
Answer: p = -4
Step-by-step explanation:
9-4(2p-1) = 45
9-8p+4 = 45
13-8p = 45
-8p = 45 - 13
-8p = 32
p = -(32/8)
p = -4
So it is an isosceles triangle that means that the bottom two angles are equal...
so
40 = 5x
divide both sides by 5 and you get 8
now the triangle angles add up to 180
we make an equation out of it...
(2y + 20 ) + ( 5(8)) + 40 = 180
2y + 20 + 40 + 40 = 180
combine like terms
2y + 100 = 180
so subtract 100 from both sides
2y = 80
divide by 2 to isolate the variable
y = 40
You are correct!!! :)