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vovangra [49]
2 years ago
5

The following uses a 4-step proof, starting with the given statement. Complete the following proof

Mathematics
1 answer:
AlladinOne [14]2 years ago
8 0

1) \overline{JK} \perp \overline{MN}

2) \angle JKM is a right angle (perpendicular lines form right angles)

3) \triangle JKM is a right triangle (definition of a right triangle)

4) \angle 1 and \angle 2 are complementary (the acute angles of a right triangle are complementary)

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PLEASE HELP, ITS DUE IN 2 MINUTES, I'LL GIVE 25 POINTS
andreyandreev [35.5K]

Step-by-step explanation:

x+13⁰+10x+13⁰+2x-2⁰= 180⁰

13x= 180-24

13x=156

x = 12⁰

now angle Q = 10x+13⁰

= 10(12)+13= 120+13

= 133⁰

5 0
3 years ago
Which is closest to the volume of a cylinder with a height of 11 inches and
Veseljchak [2.6K]

Answer:

The closest to the volume of cylinder is <u>63 in.³</u>.

Step-by-step explanation:

Given:

Cylinder with a height of 11 inches and  a circumference of 8 1/2 inches.

Now, to find the volume.

As circumference is given we get the radius by putting formula:

Circumference = 8 1/2 inches = 17/2 inches.

Let the radius be r.

Circumference=2\pi r

<em>Taking the value of π = 3.14.</em>

\frac{17}{2}=2\times 3.14\times r

8.5=6.28\times r

<em>Dividing both sides by 6.28 we get:</em>

1.35=r

So, radius = 1.35 inches.

Height = 11 inches.

Now, putting the formula to get the volume:

Volume=\pi r^2h

Volume=3.14\times 1.35^2\times 11

Volume=3.14\times 1.8225\times 11

Volume=3.14\times 20.0475

Volume=62.949\ inches^3

<u><em>Hence, the volume of cylinder = 63 inches³ (approximately).</em></u>

Therefore, the closest to the volume of cylinder is 63 in.³.

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Mariulka [41]
2. 3. 5. are correct

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A club charges a rental of $400 per day for the dining hall and a fixed amount per guest for a meal. The graph shows the total c
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if 10 guests come then that means there is 800...

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Factor completely. 10x^7-10xy^10
denis23 [38]
Find common factor, in this case the common factor is 10x
So the answer would be 10x(x^6 - y^10)


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