Given:
diameter = 14 inches
radius = 14 inches / 2 = 7 inches
Circumference of a circle = 2 π r = 2 * π * 7inches = 14 inches * π
Area of a circle = π r² = π * (7in)² = π * 49in²
C = 14π and A = 49π
Answer: 1/20
To find P(Q and R), you have to multiply P(Q) by P(R) to get the probability that both events will occur. P(Q) = 1/8, and P(R) = 2/5, so when multiplied together, you get 2/40. This simplifies to 1/20, meaning P(Q and R) = 1/20.
Answer:

Step-by-step explanation:
Since we are not given a midpoint, we use the Angle Addition Postulate:
156 = [x + 109] + [x + 53]
156 = 162 + 2x
-162 - 162
_______________
−6 = 2x
___ ___
2 2
−3 = x
[−3 + 53] + [−3 + 109] = 156
50 106
156 = 156 ☑
Therefore,
is a genuine statement.
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Answer:
A) y = -1/2x + 1/2
Step-by-step explanation:
Find the y-intercept(when x = 0), which is 1/2.
Find the slope: m = y2-y1 / x2-x1
I used points: (3, -1), (-3,2)
m = 2 - (-1) / -3 - 3
m = 3 / - 6
m = -1/2
plug this into the slope intercept form equation: y = mx + b
y = -1/2x + 1/2
Assuming point Z is at the origin (0,0), you move from the origin over to the right one, and go down 8.
Therefore you would be at point (1,-8) answer D