Answer:
Length of arc AD = 15.7 cm
Step-by-step explanation:
Length of arc =
Here, θ = Central angle subtended by the arc
r = radius of the circle
From the picture attached,
Central angle subtended by arc AD = 360° - (180° + 66.4°)
= 113.6°
Length of arc AD =
=
= 15.655 cm
≈ 15.7 cm
Length of arc AD = 15.7 cm
Answer:
Total number of puppies in the litter = 11
Step-by-step explanation:
Let the number of yellow puppies in the litter = y
And the number of black puppies in the litter = b
If there was one less black puppy, ratio of yellow to black puppies =
2(b - 1) = 3y
3y - 2b = -2 -----(1)
If there was one more black puppy, ratio of yellow puppies to black puppies =
2y = b + 1
2y - b = 1 -------(2)
Equation (1) - 2× equation (2)
(3y - 2b) - 2(2y - b) = -2 - 2
3y - 4y - 2b + 2b = -4
y = 4
From equation (1),
3×4 - 2b = -2
12 - 2b = -2
-2b = -14
b = 7
Total number of puppies in the litter = 7 + 4 = 11
Answer:
x=6
Step-by-step explanation:
A midpoint is the middle point of a line segment, therefore it is equal distances from both ends of the segment.
This means that PQ and QR have the same length. So all we have to do is set each value equal to each other, and then solve for X.