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Anna35 [415]
3 years ago
9

The measure of the supplement of an angle exceeds 3 times the measure of the complement of the angle by 10. Find the measure of

the complement.
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
7 0

Step-by-step explanation:

  • Let the angle be x.

  • Let the supplement of the angle = 180 - x

  • Let the complement of the angle = 90 - x

Now, <u>According to our assumption we can set up an equation :</u>

➵ (180 - x) - 3(90 - x) = 10

➵ 180 - x - 270 + 3x = 10

➵ 2x - 270 = 10 - 180

➵ 2x - 270 = -170

➵ 2x = -170 + 270

➵ 2x = 100

➵ x = 100/2

➵ x = 50

<h3><u>Therefore,</u></h3>

  • The angle = x = 50°

  • The supplement of the angle = 180-x = 180 - 50 = 130°

  • The complement of the angle = 90 - x = 90 - 50 = 40°
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Answer:

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Step-by-step explanation:

The perimeter of a rectangle formula = 2L + 2W

Where L = Length

W = Width

The length of a rectangle is 8feet less than the width.

Hence,

L = 8 - W

The perimeter is 64 feet.

Hence,

64 = 2(8 - W) × 2W

64 =( 16 - 2W )2W

64 = -4W² + 32W

4W² - 32W + 64 = 0

Factorise

4W² - 16W - 16W + 64 = 0

4W (W - 4) - 16(W - 4) = 0

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W = 4

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Solving for L

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The graph of y = 2x/3 is a graph with positive slope, moving through the third and first quadrant.

y = 2x/3 - 6 means a translation 6 units down and this pushed the line to get to the fourth quadrant

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