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Artyom0805 [142]
3 years ago
5

I am given that p || q. ∠1 and ∠4 are supplementary angles because they form a linear pair, so m∠1 + m∠4 = 180°. ∠4 and ∠8 are a

lso supplementary because of the Same-Side Interior Angles Postulate, so m∠4 + m∠8 = 180°. You can substitute m∠4 + m∠8 for 180° in the first equation above. The result is m∠1 + m∠4 = m∠4 + m∠8. After subtracting m∠4 from each side, I see that m∠1 = m∠8.

Mathematics
1 answer:
gayaneshka [121]3 years ago
6 0

Answer:

3

Step-by-step explanation:

Replace 8 with 3

Cz angle 4 is equal to 8

Angle 4+Angle 3 is 180⁰

And angle one is equal to angle three

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105 × $8.72 = $915.60
$915.60 + $348 = $1,263.60

Mary paid $1,263.60 for the stock.
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Find each product or quotient. Use significant digits. 1,370 m 31.7 s
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On a scale drawing of a museum, two water fountains are 10 inches apart. The actual distance between them is 400 feet. On the sa
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6 0
3 years ago
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What is the volume of a hemisphere with a radius of 26.7 m, rounded to the nearest tenth of a cubic meter?
attashe74 [19]

Answer:

39,865.1m^3

Step-by-step explanation:

a hemisphere is half a sphere.

And if the formula for the volume of a sphere is:

V=\frac{4\pi r^3}{3}

we must calculate the volume of the sphere and in the end divide by two to find the volume of the hemisphere.

Since the radius is:

r=26.7m

substituting this into the formula for volume:

V=\frac{4\pi (26.7m)^3}{3} \\\\V=\frac{4(3.1416)(19,034.163m^3)}{3} \\\\V=79,730.12m^3

this is the volume of the total sphere, thus the volume of a hemisphere is:

\frac{V}{2}=\frac{79,730.12m^3}{2}\\  =39,865.06m^3

rounding to the nearest tenth:

39,865.1m^3

8 0
4 years ago
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Do you know the answer, ive been stuck for hours​
nadya68 [22]

Answer:

Perpendicular H = 5.244 m (Approx)

Step-by-step explanation:

Given:

Hypotenuse = 9.4 m

Base = 7.8 m

Find:

Perpendicular H

Computation:

Perpendicular H = √Hypotenuse² - Base²

Perpendicular H = √9.4² - 7.8²

Perpendicular H = √Hypotenuse² - Base²

Perpendicular H = 5.244 m (Approx)

5 0
3 years ago
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