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ahrayia [7]
2 years ago
11

Students were asked to write a formula for the length of a rectangle by using the formula for its perimeter,p=2L+2w

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
8 0

Answer:

L = (P - 2W) / 2

Step-by-step explanation:

Given:

P = 2L + 2W

Where,

P = perimeter of a rectangle

L = length of the rectangle

W = width of the rectangle

Make L the subject of the formula

P = 2L + 2W

Subtract 2W from both sides

P - 2W = 2L + 2W - 2W

P - 2W = 2L

Divide both sides by 2

(P - 2W) / 2 = 2L / 2

L = (P - 2W) / 2

The answer is L = (P - 2W) / 2

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Read 2 more answers
An Angle measures 64 more than the measure of its supplementary angle what is the measure of each angle
ValentinkaMS [17]

Answer:

Original angle = 122*

Supplementary angle = 58*

Step-by-step explanation:

A supplementary angle is one of two angles that make up 180*

If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.

So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.

The formula to figure it out would look like this:  x + (x + 64) = 180

x is the supplementary angle

x + 64 is the original angle (64 MORE than its supplementary angle)

180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.

Take the formula and do a little algebra.

x + (x + 64) = 180

Subtract 64 from both sides

x + x = 116

Combine the x's

2x = 116

Divide both side by 2

x = 58

Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.

x + 64 = 122

Check our work:

x + (x + 64) = 180

58 + 58 + 64 = 180

4 0
3 years ago
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