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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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Which type of interest rate is not adjusted for different factors, including inflation?
Murrr4er [49]

Answer:

C: Nominial interest rate

Step-by-step explanation:

C

8 0
2 years ago
What is the solution set of |-x|=-10?
Airida [17]
There is no solution. Because the absolute value function finds the distance between the number and 0. And length is never negative.

So, |-x| = -10 has no solution.
5 0
3 years ago
F(x)=2x^2-5;find when f(x)=-7​
Daniel [21]

Answer:

x=i or no solution exists depending on the user's grade

Step-by-step explanation:

f(x) = 2x^2-5

-7 = 2x^2-5

-2 = 2x^2, x^2=-1, x=i

6 0
2 years ago
Read 2 more answers
Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le
Svet_ta [14]

Answer:

The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

Step-by-step explanation:

Let the seven pieces be a,b,c,d,e,f,g

Average of 7 pieces of ropes  =68

Average = \frac{\text{Sum of all lengths}}{\text{No. of pieces}}

68= \frac{\text{Sum of all lengths}}{7}

68 \times 7 =\text{a+b+c+d+e+f+g}

476=\text{a+b+c+d+e+f+g} --A

We are given that the median length of a piece of rope is 84 centimeters.

We arrange the pieces in the ascending order

So, median will be the length of 4th piece

So, d = 84 cm

the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84

Let us suppose the length of a,b,c be x

Let us suppose the length of e,f be 84

The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope

So, g = 4x+14

Substitute the value in A

476=x+x+x+84+84+84+4x+14

476=7x+266

\frac{476-266}{7}=x

30=x

g = 4x+14=4(30)+14=134

Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm

7 0
3 years ago
Find the circumference and area of a circle with a diameter of 22 inches. Leave your answers in terms of pi. (4 points) C = 11π;
Iteru [2.4K]

Answer:

C = 22π; A = 121π.

Step-by-step explanation:

To find the circumference of a circle, you do pi times the diameter. That would be 22pi.

To find the area of a circle, you do pi * r^2. The radius is the diameter divided by 2. That is 22 / 2, which is 11. Then, the area would be pi * 11^2 = pi * 121 = 121pi.

So, C = 22pi; A = 121pi.

Hope this helps!

7 0
3 years ago
Read 2 more answers
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