Vertical angles equal eachother
set angle 4 and angle 8 equal to eachother
3x=x+40
-x both sides
2x=40
÷2 both sides
x=20
solve for angle 4
3 (20)
60 B
Answer:
Less than or equal to a positive number. (and a whole number)
Step-by-step explanation:
We know that the capacity is 310. That means there can be no more than 310 people in a room. There cannot be a negative number of people in a room.
Answer:
1. 59 2.90 4.31 3. Sorry I dunno
Step-by-step explanation:
1. the 59 degrees is the same.
2. It's a perfect angle
3. Sorry
4.180-90-59=31
Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
First, we will establish that the shape of the window is a semi-circle. This means we must use the formula for the perimeter of a semi-circle to obtain the perimeter of the window.
The formula for the perimeter of a semi-circle is as follows:
Let perimeter of window or semi-circle = P
P = [ 2( Pi )r / 2 ] + 2r
Where r = radius of circle or semi-circle
From this, we will simply use the value of the radius given from the diagram in the problem and substitute it into the formula to obtain the perimeter of the window.
P = [ 2( Pi )r / 2 ] + 2r
r = 20
THEREFORE:
P = [ 2( Pi )( 20 ) / 2 ] + 2( 20 )
P = 20( Pi ) + 40
P = 102.83...cm^2
P = 102.8cm^2 ( to the nearest tenth )
FINAL ANSWER:
Therefore, the perimeter of the window is 102.8cm^2 ( to the nearest tenth ).
Hope this helps! :)
Have a lovely day! <3
Answer:
the answer is -16 x ^3 + 116 x ^2 -96 x -144
