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GalinKa [24]
3 years ago
10

If angle∠ A and angle∠ B are supplementary angles and angle∠ A is eighteight times as large as angle∠ ​B, find the measures of a

ngle∠ A and angle∠ B.
Mathematics
1 answer:
Shalnov [3]3 years ago
4 0
A = 8B
A + B = 180
8B + B = 180
9B = 180
B = 20
A = 8 * 20 = 160
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Answer:

3/2 cm^2 or 1.5 cm^2

Step-by-step explanation:

Remark

This is another one of those very poorly design questions where a lot is taken for granted. There is nothing to show the the black square has an area of 1/4 square cm. or the white square is 1/2 cm^2. You are left to speculate, and you should never have to guess a dimension from a diagram.

That said here are the assumptions

  1. Each side of the square = Perimeter / 4. That's because the perimeter is 8 and each of the 4 sides is 2 cm. because 8/4 = 2
  2. That's the only thing that you can conclude for certain.
  3. It looks like the white rectangles have a length that totals 2. Therefore each one must be 1 cm long.
  4. The width of the white square must be 1/2 the width of a side divided by 2. That's because The grey square takes up  1/2 the with of the side and the white square is 1/2 of what is left over.

White square area = L * W

L = 1 (which comes from 1/2 of 2)

W = 1/2

Area = 1 * 1/2 = 1/2

There are two them them so their area = 1

The black squares are 1/2 * 1/2 = 1/4 square cm. There are two of them so their total area = 1/2 square cm.

Total of the white and black squares = 1 + 1/2 = 1 1/2 or 3/2 square cm.

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