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I am Lyosha [343]
2 years ago
14

Which best explains why the rotation represents an

Mathematics
1 answer:
Alinara [238K]2 years ago
4 0

The best explanation for why the rotation is isometric is "<u>The rectangle did not change shape or size</u>". Hence the <u>second option</u> is the right choice.

There are four main categories of transformations:

  1. Translation (figure slides in any direction)
  2. Reflection (figure flips over a line)
  3. Rotation (figure turns about a fixed point)
  4. Dilation (the figure is enlarged or reduced)

A stiff transformation known as an isometry maintains perimeter and area while also preserving length and angle measurements. In other words, there is congruence between the preimage and the image. Translations, reflections, and rotations are therefore isometric, but dilations are not since the image and preimage are comparable, rather than congruent figures.

The transformation in the question will be isometric when the preimage of the rectangle before 360° rotation, will be congruent to the image after the rotation.

The congruency is best described by the option "The rectangle did not change shape or size", as that is the basis of congruency.

Thus, the best explanation for why the rotation is isometric is "<u>The rectangle did not change shape or size</u>". Hence the <u>second option</u> is the right choice.

Learn more about isometric transformations at

brainly.com/question/24095450

#SPJ4

The provided question is incomplete. For the complete question, refer to the attachment.

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Are the irrational numbers closed under addition?
Arte-miy333 [17]

Answer:

Irrational numbers are not closed under addition.

Step-by-step explanation:

Irrational numbers are the numbers that cannot be expressed in the form of a fraction \frac{x}{y}. In other words we can say that irrational number,s decimal expantion does not cease to end.

The closure property of addition in irrational numbers say that sum of two irrational number is always a rational number, But this is not true. It is not necessary that the sum is always irrational some time it may be rational.

This can be understood with the help of an example:

let (2+√2) and (-√2) be two irrational number. Their sum is (2+√2)+(-√2) = 2, which is clearly a rational number.

Hence, irrational numbers are not closed under addition.

4 0
3 years ago
1. Determine whether the situation is a permutation or a combination
iVinArrow [24]
1-b cuz its describing numbers
2-A-prmation again
3-7C5 = 7!/(5!2!) = 7*6/2 = 21 so its B
4-792
5-d
 hoped i helped

6 0
3 years ago
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Factor completely 15x^5 + 12x^4-24x^3-3x^2
diamong [38]

Answer:

3x^2 (5x^3 + 4x^2 - 8x - 1)

Step-by-step explanation:

The given expression is 15x^5 + 12x^4-24x^3-3x^2

Here we have to find the GCF of all the above terms.

The GCF is 3x^2, let's take out 3x^2 and write the remaining terms in the parenthesis.

15x^5 + 12x^4-24x^3-3x^2

=3x^2 (5x^3 + 4x^2 - 8x - 1)

Therefore, the factors are 3x^2 and (5x^3 + 4x^2 -8x -1).

15x^5 + 12x^4-24x^3-3x^2 = 3x^2 (5x^3 + 4x^2 -8x -1)

Thank you.

7 0
3 years ago
How do you solve a problem involving squeeze theorem?
nadezda [96]

Answer:

Step-by-step explanation:

if two functions are squeezed together at a particular point , then any function trapped between them will get squeezed to that point. the squeeze theorem deals with limit value , rather than function value. the squeeze theorem sometimes called Pinch Theorem.

3 0
3 years ago
Need help please ASAP
aivan3 [116]

Answer:

B.)8ft

Step-by-step explanation:

Set up a proportional to the roof slope:

2/5 = x/20

Cross multiply:

40/5 = 5x/5

x=8ft

7 0
3 years ago
Read 2 more answers
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