4x +28 and 68 are vertical angles and are equal.
Set them to equal each other to solve for x:
4x +28 = 68
Subtract 28 from each side:
4x = 40
Divide both sides by 4:
x = 40/4
x = 10
Answer:
Arc length s = 15.3 inches
Step-by-step explanation:
We know that length of an arc that subtends an angle θ radians at the center is given by

where
r is the radius of the circle
θ is the angle subtended in radians
Thus applying values we get 
thus s = 15.3 inches
Answer:
(x + 5) m
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = (x² + 8x + 15) m²
Width (W) = (x + 3) m
Length (L) =?
The lenght of the rectangle can be obtained as follow:
A = L × W
x² + 8x + 15 = L (x + 3)
Divide both side by x + 3
L = x² + 8x + 15 / x + 3
L = (x + 5) m
Please attached photo for explanation.
Therefore, the length of the rectangle is: (x + 5) m
Assuming the coin is fair, probability of getting one tail is 50%, probability of getting two tails in a row is 50%*50% = 25% or 1/4
Answer:
N= 3.8
Step-by-step explanation: