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Softa [21]
2 years ago
15

25. The perimeter of a rectangle is equal to twice the sum of its length and its width. One

Mathematics
1 answer:
AlexFokin [52]2 years ago
7 0

Answer:

The equation that can be used to find the width is 2(13 + w) = 42

The width of the rectangle is 8 inches

Step-by-step explanation:

The formula of the perimeter of a rectangle is P = 2(l + w), where l is its length and w is its width

∵ One  rectangle has a length of 13 inches

∴ l = 13 inches

∵ Its perimeter is 42 inches

∴ P = 42 inches

- Substitute the values of l and P in the formula of the perimeter

∵ 42 = 2(13 + w)

The equation that can be used to find the width is 2(13 + w) = 42

To find W divide both sides by 2

∴ 21 = 13 + w

- Subtract 13 from both sides

∴ 8 = w

The width of the rectangle is 8 inches

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Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line ⇒ 1st

Step-by-step explanation:

Parallel lines have:

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∴ The equation of the parallel line is y = \frac{-1}{6} x + 6

Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line

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∵ x = -12 and y = 8

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∴ Point (-12 , 8) is on the line

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/9527422

#LearnwithBrainly

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