Answer:
x = 45
Step-by-step explanation:
The 3 angles of a triangle add up to 180
<a + <b + <c = 180
substitute what you know
55+ 80 + <c = 180
combine like terms
135 + <c = 180
subtract 135 from each side
<c = 180 -135
<c = 45
x = 45
The perimeter is 32 cm.
The length is 10, and the width is 6. (10x2) + (6x2) = 32
Area of the square = 11*11 = 121
Area of the circle = pi r^2 = pi*1^2 = 3.142
Part A
P( hitting the circle = 3.142 / 121 = 0.026 which is closer to 0.
Part B.
P( hitting the white portion) = 1 - 0.026 = 0.974 which is closer to 1.
Since you are solving for a, you want to have a on one side of the equation and the other terms on another side of the equation. It would be easiest to have all the terms with a on the left side of the equation, so that is what we will do.
Subtract 9a from both sides to get a on the left side of the equation.
5 + 5a = -5
Subtract 5 from both sides of the equation to isolate the term with a.
5a = -10
Divide both sides of the equation by 5 to solve for a.
a = -2