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kenny6666 [7]
3 years ago
8

Can someone help with number 10 ASAP

Mathematics
1 answer:
Allisa [31]3 years ago
6 0

Length is 3 times the width

So L = 3W

If L is decreased by 4m and with increased by 1m and perimeter is 66 then

2(3W - 4) + 2(W + 1) = 66

6W - 8 + 2W + 2 = 66

8W - 6 = 66

8W = 72

W = 9

L = 3 x 9 = 27

Width of rectangle = 9 m and length = 27 m


New rectangle:

Width is increase by 1 m = 9 + 1 = 10 m

Length is decreased by 4 m = 27 - 4 = 23 m

Answer

Dimensions of new rectangle are 10 m and 23 m


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an angle measures 27.4 more than the measure of its complementary angle what is the measure of each angle
Arisa [49]

Hello!

<h2>31.3° and 58.7°</h2><h2></h2>

To solve, we can set up an algebraic expression.

Complementary angles add up to 90°, and in this instance, one angle is 27.4° more than the other. Therefore:

∠1 = x

∠2 = x + 27.4°

∠1 + ∠2 = 90°

x + (x + 27.4°) = 90°

Combine like terms:

2x + 27.4° = 90°

Subtract 27.4 from both sides:

2x = 62.6°

Divide both sides by 2:

x = 31.3°

Therefore, one of the angles is 31.3°. Solve for the measure of the other angle:

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Answer:

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