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Gnom [1K]
2 years ago
15

Find the measure of the unknown angle with the help of a protractor. Describe the method you used to find the angle measure.

Mathematics
1 answer:
DENIUS [597]2 years ago
4 0

Answer: 90 degrees acute

Step-by-step explanation: math

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2^6

64

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Find the value of y in the solution to the system of equations shown. 3y=18x+6 y=2x+14
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3 years ago
A square carpet of side length 9 feet is designed with one large shaded square and eight smaller, congruent shaded squares, as s
Pepsi [2]

Answer:

3\sqrt{3} + 72

Step-by-step explanation:

I attached an image to aid the understanding of the question.

Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:

9 \times 8 = 72ft^{2}

It remains the area of the shaded square with side S.

From the question, we have the following ratio:

\frac{9}{S} = \frac{S}{T}[\tex]But[tex]\frac{9}{S} = \frac{S}{3}[\tex]Multiplying through by 3S we have27 = S² and this gives:[tex]S = \sqrt{27} = 3\sqrt{3}

I did not add ± because length is always positive, so the case of negative is eliminated.

Now the areas of S is 3\sqrt{3}

Therefore, the total area of the shaded squares is

3\sqrt{3} + 72

3 0
3 years ago
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