Answer:
x=25, 120
Step-by-step explanation:
The two angles form a straight line so they add to 180
60 + 4x +20 =180
Combine like terms
4x+80 = 180
Subtract 80 from each side
4x+80-80 =180-80
4x= 100
Divide by 4
4x/4 =100/4
x= 25
The exterior angle is
4x+20 = 4*25+20 =100+20 =120
Volume of a cylinder= (height) x area of the base (circle)
We know the height = 160 cm (given), let's find the radius of the base.
The circumference of the base = 87.92 = 2πR==> R=87.92/(2π) =13.993 cm
Area of circle = πR²=π(13.993)² = 615.128 cm²
Hence the volume of the cylinder = 615.128 x 160 = 92,420.48 cm³
Answer:
D. 1 : 2
Step-by-step explanation:
Given:
A(-6, -2),
B(6, 7),
C(-2, 1)
Required:
Ratio of AC : CB
SOLUTION:
Find AC:

Let,






Find CB:

Let,






Find AC : CB
AC : CB = 5 : 10 = 1 : 2
Answer:
385 hamburgers.
Step-by-step explanation:
So the data they have given us is that there have been 2 home games, with 70 hamburgers sold. If we divide the number of hamburgers sold by the number of games (70/2), we come up with the average hamburgers sold per game, which is 35. We can use an equation to find the amount of hamburgers sold for every x amount of games.
, with x being the amount of games, and h being the total amount of hamburgers. If you plug in 11 for x, you will get 385.