Problem 10
You are correct. You divide 360 over the exterior angle measure to get 360/72 = 5
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Problem 11
x = 33 is correct as this angle is an alternate interior angle pair with the 33 degree angle up top
y = 38 is correct since y+33+109 = 180 solves to y = 38. In other words: 38+33+109 = 180
z = 109 is correct. The opposite angles of a parallelogram are congruent
It fills the cylinder up to 10 cm.
The volume of a cylinder is given by the formula
V = πr²h, where r is the radius of the base and h is the height of the cylinder.
The volume of a cone is given by the formula
V = 1/3πr²h, where r is the radius of the base and h is the height of the cylinder.
Since the base of the flask and the cylinder are the same, this means r is the same number in both formulas.
Since the height of the flask and the cylinder are the same, this means h is the same number in both formulas.
This means that the only difference in the formulas is that the formula for the cone flask is 1/3 the formula for the cylinder.
The water that fills the cone flask will fill 1/3 of the cylinder; 1/3(30) = 10
6 hours: 1 book
A unit rate is expressed as a quantity of one and shows how much is achieved in 1. In this case you get 6 hours from 1 book.
Hope this helps
John sold 30U
Rick sold 25U
So, Rick sold 5 fewer units than John.
Hope that helps.
Answer:
y = 3x + 12
Step-by-step explanation:
Slope (m) = 24-9/4-(-1)
= 25/5
= 3
Using point (-1 , 9)
y - y1 = m (x - x1)
y - 9 = 3 (x - -1)
y - 9 = 3 (x + 1)
y - 9 = 3x + 3
y = 3x + 3 + 9
y = 3x + 12
