Answer:
x = 18
y = 54
Step-by-step explanation:
A straight line equals 180 degrees.
Since Lines CD and AB are straight, we can deduce that the angle 3x = 2x + angle AN.
Because there is a right angle, we can subtract 90 -72 = 18.
18 + 2x = 3x
18 = x
A straight line equals 180 degrees. Once we figure out that x = 18, we can figure out y by plugging in x and then subtracting your answer from 180 degrees.
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P(red) = 1/5 [that says "probability of getting red is one fifth"
P(green) = 1/5
P(blue) = 1/5
P(yellow) = 1/5
P(purple) = 1/5
The reason the fractions are all the same is that there are equal numbers of each color. For example, if there were 7 marbles of each color, there would be a total of 35 marbles.
P(red) = 7/35 = 1/5
Similar for the other colors.
EXPLANATION
If the height of the can is 4 inches and the diameter is 3--> radius=1.5 inches, the area is given by the following relationhip:

Replacing terms:

The approximate area is 37.7 in^2
Answer:
- y = -5/2x + 5
- y = 2x -1
- y = 24/11
- y = 4x + 4
Step-by-step explanation:
To solve for y, subtract the x-term and divide by the coefficient of y.
5x +2y = 10
2y = -5x +10
y = -5/2x + 5
__
2y -4x = -2
2y = 4x -2
y = 2x -1
__
7y +4y = 24
y = 24/11
We assume there is a typo, but cannot tell what it is. Use the same method as described and demonstrated for the other problems.
__
-2x +1/2y = 2
1/2y = 2x +2
y = 4x +4
Answer:
The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²
Step-by-step explanation:
The picture below is what you are referring to .
The whole area of the shape forms a rectangle. A triangle and a rectangle has been cut off from the whole carpet rectangle. The square ft or area of the carpet is the subtraction of the area of the rectangle and triangle cut off from the whole area of the rectangle .
Area of the rectangle = Lb
where
L = 12 ft
b = 5 ft
area = 12 × 5 = 60 ft²
The cut off triangle area
area = 1/2 × base × height
area = 1/2 × 4 × 3
area = 12/2 = 6 ft²
The cut off rectangle area
area = Lb
area = 3 × 2
area = 6 ft²
The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²