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lorasvet [3.4K]
3 years ago
14

I need help asap....​

Mathematics
1 answer:
bonufazy [111]3 years ago
5 0

Answer:

Step-by-step explanation:

From the given picture,

Given : l₁ and l₂ are the parallel lines and ∠2 ≅ ∠4

To prove: ∠1 ≅ ∠4 and ∠4 ≅ ∠3

          Statements                          Reasons

1). l₁ ║ l₂ and ∠2 ≅ ∠4                  1). Given

2). ∠1 ≅ ∠2                                   2). Vertical angle theorem

3). ∠1 ≅ ∠4                                   3). Given

4). ∠1 ≅ ∠3                                   4). Corresponding angle theorem

5). ∠4 ≅ ∠3                                  5). Transitive property of congruence  

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What is the volume of a cylinder that is 15-m tall and has a radius of 3 m. Use 3.14 for π, and round your answer to the nearest
Agata [3.3K]

Answer:

D. 424 m³

Step-by-step explanation:

Use the formula for the volume of a cylinder

V = \pir²h

Plug in the values we know

V = (3.14)(3²)(15)

V = 423.9 m³

This is closest to answer choice D, 424 m³

So, D is correct

7 0
3 years ago
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Step-by-step explanation:

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3 years ago
PLEASE HELP ME FOR BRAINLIEST ANSWER An architect designs a rectangular flower garden such that the width is exactly​ two-thirds
Oksanka [162]

Answer:

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Width: 56 ft

Step-by-step explanation:

Let's define some variables first.

Call the length l and width w.

We know that w = 2/3l. Therefore, we can express w in terms of l with this expression.

Now, let's set up an equation. The flower garden is rectangular, and 280 feet of fencing are used to enclose the garden. This represents perimeter.

Remember the formula for perimeter of a rectangle: 2l + 2w

Let's substitute 2/3l for w:

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2 4/3l = 280

10/3l = 280

l = 84

Now, we know that the length is equal to 84 feet. We can multiply 84 feet by 2/3 to find the width.

84*2/3 = 56

Length: 84 ft

Width: 56 ft

Let's plug these values into the formula and see if they give us the correct perimeter:

2l + 2w = P

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168 + 112

= 280 feet

These are the correct dimensions!  

Hope this helps! You can reach out to me if you have further questions or concerns! :)

6 0
3 years ago
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Answer:

B.) $58

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Read 2 more answers
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-- If two lines on a graph are parallel, then their slopes are equal.

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