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satela [25.4K]
2 years ago
5

Chapter lines and angles math​

Mathematics
1 answer:
Tcecarenko [31]2 years ago
5 0

Answer:

1. No

2. 90 and 180

3. 9

4. 150 as consecutive angles

5. 73

6. x+x+2x+2x = 180

6x = 180

x = 30

7. 3x+2y+24=180

3x+2y +24=180

3x+2y=180-24

3×32 +2y= 156

y=60/2

y=30

when, y=24

3x+2y+24=180

3x+2×24-180-24

3x=-156-48

x=108/3

x=34.444

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In how many ways can a person enter a room that has three doors and leave it by (a) a different door? (b) any door? How do i do
White raven [17]

Part (a)

Label the doors A, B, C.

If a person goes through door A, then they have 2 choices (B or C) to pick as an exit. Similarly, if they go through door B, then they have 2 choices for an exit (A or C). Finally, if they go through door C, then they have 2 choices for an exit (A or B).

We have 3 choices for the entrance, and 2 choices for the exit.

So overall, 3*2 = 6 different combinations are possible.

Those 6 combos are

AB, AC, BA, BC, CA, CB

<h3>Answer: 6</h3>

=============================================

Part (b)

This is effectively the same as part (a), but we can now re-use the entrance door. For any door we enter, we have 3 choices to pick from for the exit. There are 3 doors, so 3 entrances and 3 exits, meaning 3*3 = 9 different combinations.

Those 9 combos are

AA, AB, AC, BA, BB, BC, CA, CB, CC

<h3>Answer: 9</h3>
5 0
3 years ago
What is 4/9 rounded to it's closest estimate
quester [9]

Answer:

1/2

Step-by-step explanation:

4/9 is .444

1/2 is .5

1/3 is .3333

4/9 is closer to being 1/2 than 1/3

8 0
3 years ago
Read 2 more answers
The formula for the volume V of a cylinder is LaTeX: V=\pi r^2hV = π r 2 h, where r is the radius of the base anThe formula for
Alekssandra [29.7K]

Answer:

h = \frac{V}{\pi r^2}

h = 4 cm

Step-by-step explanation:

Volume of cylinder is given as V = \pi r^2 h

V is the volume the cylinder, r is its radius at the base, while is its height.

To select the formula for h (height) let's make h the subject of the formula as follows:

V = \pi r^2 h

\frac{V}{\pi r^2} = \frac{\pi r^2 h}{\pi r^2} (dividing both sides of the equation by \pi r^2 )

\frac{V}{\pi r^2} = h

h = \frac{V}{\pi r^2}

Use the formula above to find the height of the given cylinder where Volume (V) = 36π cm³, and base radius (r) = 3 cm:

h = \frac{36 \pi}{\pi 3^2} (substitution)

h = \frac{36 \pi}{\pi * 9}

h = \frac{36 \pi}{9 \pi}

h = \frac{36 \pi}{\pi * 9}

h = \frac{36}{9} (\pi cancels \pi)

h = 4 cm

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3 years ago
What is the measurement of the three angles in ANT
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3 years ago
Together, Rhonda and Margo saved $478.50. If Rhonda saved $225 of that total, how much did Margo save? Select the addition equat
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Answer:

$253.5

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Total amount saved = Amount Rhonda saved + Amount Margo saved

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Amount Margo saved = $253.5

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3 years ago
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