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defon
3 years ago
6

Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall. How many degrees should the shelf be re

lative to the wall?
Mathematics
1 answer:
sergey [27]3 years ago
7 0

The shelf must be at right angles (90 degrees) relative to the wall.

Step-by-step explanation:

Dana concern is that the shelf must be perpendicular to the wall. This means that the angle between the wall and the Dana’s shelf must be 90 degrees.

The term “perpendicular” is sometimes used in the mathematical terminology for the angle of 90 degrees. Hence, the Dana’s shelf must be at 90 degrees relative to the wall.  It is to be noted here that straight lines make an angle of 180 degrees. Since the shelf is at 90 degrees, either side of the shelf would be at 90 degrees to the wall.

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This morning Allen had 2 more action figures than Barbara, and Barbara had 8 more action figures than Charlie. Allen have some o
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Let x represent the number of action figures Allen has.

Let y represent the number of action figures Barbara has.

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<h3 /><h3>Generating the equations</h3>

Given that this morning Allen had 2 more action figures than Barbara, we have that x = y + 2 (1)

Also, Barbara had 8 more action figures than Charlie, we have that y = z + 8 (2)

Now, Allen have some of his action figures to Charlie, and now both Allen and Charlie have the same number of action figures.

Let p be the number of action figures Allen gave to charlie. So, Allen now has x - p action figures and Charlie now has z + p

Since now, both Allen and Charlie have the same number of action figures, we have that

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So, y + N = z + p + 8 (4)

<h2 /><h2>Solving the equations</h2>

Substituting (2) into (1), we have

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<h3>The value of p</h3>

Substituting (5) into (3), we have

x - p = z + p

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Substituting (2) into (4), we have

y + N = z + p + 8

z + 8 + N = z + p + 8

N = p

Since p = 5, N = 5

So, the value of N is 5.

Learn more about equations here:

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