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musickatia [10]
2 years ago
5

Parallelogram L M N O is shown. Angle N is (5 x) degrees and angle L is (3 x + 40) degrees. In parallelogram LMNO, what is the m

easure of angle M? 20° 60° 80° 100°
Mathematics
2 answers:
mamaluj [8]2 years ago
4 0

Answer:

80

Step-by-step explanation:

did the test

Jlenok [28]2 years ago
3 0

Answer:

80degrees

Step-by-step explanation:

Find the diagram attached

From the diagram, the opposite angle of the parallelogram are equal hence;

5x= 3x+40

5x - 3x = 40

2x = 40

x = 40/2

x = 20degrees

Also <M + <N = 180

<M + 5x = 180

<M + 5(20) = 180

<M + 100 = 180

<M = 180-100

<M = 80degrees

Hence the measure of angle M is 80degrees

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Since 56 pints of Cold Farm ice cream cost $140, and 28 quarts of Cold Farm, ice cream cost $133, hence the large size container is the better deal for Sheldon.

From the table, we are told that <u>1 pint of Cold farm costs $2.50</u>, this can be written as:

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56pints of the cold farm will cost (56 * 2.50) = $140

Similarly, <u>1 quartz of Cold farm costs $4.75</u>, this can be written as:

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28pints of the cold farm will cost (28 * 4.75) = $133

56 pints of Cold Farm ice cream cost $140, and 28 quarts of Cold Farm, ice cream cost $133, hence the large size container is the better deal for Sheldon.

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Explain what independent and dependent variables mean
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Answer:

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Step-by-step explanation:

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An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation ℎ(
maw [93]
  1. The irrigation system is positioned 9.5 feet above the ground to start.
  2. The spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.
  3. The spray reaches all the way to the ground at about 10.87 feet away​

<h3>How to determine the position?</h3>

Since the height (feet) of the spray of water is given by this equation h(x) = -x² + 10x + 9.5, we can logically deduce that the irrigation system is positioned 9.5 feet above the ground to start.

<h3>How to determine the maximum height?</h3>

For any quadratic equation with a parabolic curve, the axis of symmetry is given by:

Xmax = -b/2a

Xmax = -10/2(-1)

Xmax = 5.

Thus, the maximum height on the vertical axis is given by:

h(x) = -x² + 10x + 9.5

h(5) = -(5)² + 10(5) + 9.5

h(5) = -25 + 50 + 9.5

h(5) = 34.5 feet.

Therefore, the spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.

Also, the spray reaches all the way to the ground at about:

Maximum distance = √34.5 + 5

Maximum distance = 10.87 feet.

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<u>Complete Question:</u>

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x² + 10x + 9.5, where x is the number of feet away from the sprinkler head (along the ground) the spray is.

1. The irrigation system is positioned____ feet above the ground to start.

2. The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.

3. The spray reaches all the way to the ground at about_____ feet away​

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Digiron [165]

Answer:

60 baseball and 20 football

Step-by-step explanation:

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