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hjlf
3 years ago
6

A dilation is a nonrigid transformation that can produce enlarged or reduced images from a given pre-image. How do you know that

a dilation will produce similar figures? Explain
Mathematics
2 answers:
vesna_86 [32]3 years ago
8 0
<span>Dilations produce similar figures because the image and pre-image will have congruent corresponding angles. The corresponding side lengths of the figures will be proportional based on the scale factor. The shape is preserved and the sides are enlarged or reduced by the scale factor.

</span>
Marat540 [252]3 years ago
4 0

A dilation can elongate or diminish a figure. It can create an image the same as the original by using a scale factor. The scale factor of a dilation is the ratio of corresponding side lengths.  To dilate a polygon, multiply the coordinates of each vertex by the scale factor k and connect the vertices.

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The price of a car is 15,000. John got a 20% discount. Find how much is the discount and how much he will pay after the discount
My name is Ann [436]

<em>Answer:</em>

<em>12000</em>

<em>Step-by-step explanation:</em>

<em>20% of 15000 is 3000.</em>

<em>So he will pay 12000.</em>

<em></em>

<em>Hope I helped you!</em>

<em></em>

6 0
3 years ago
On a school playground, a math teacher draws a number line with values from 10 to 10. The distance between each
german

Answer:

12

<h3>Step-by-step explanation:</h3>

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

count the spaces between the two numbers

<h2 />
4 0
4 years ago
Solve for B: AB + 3C = D
Brilliant_brown [7]

If we want to get B by itself, we need to "undo" every operation being done to it. Those operations are (in order):

  • Multiplication by A
  • Addition with 3C

To undo these then, we'll need to:

  • Subtract 3C
  • Divide by A

And, since this is an equation, we'll need to do both of those to the right side as well to keep everything equal. Here we go:

AB + 3C - 3C = D - 3C (subtracting 3C)

AB/A = (D - 3C)/A (dividing by A)

B = (D - 3C)/A

And we're done! If you'd like to see it formatted a little nicer, here's this:

B=\dfrac{D-3C}{A}

3 0
3 years ago
What is the surface area of the rectangular pyramid below?
Sidana [21]

Answer:

Option (A). 363 units²

Step-by-step explanation:

Surface area of the rectangular pyramid = Area of the rectangular base + Area of the lateral sides of the pyramid

Area of the rectangular base = Length × Width

                                                = 11 × 11

                                                = 121 units²

Area of the lateral sides = 4(Area of one lateral side)

                                        = 4[\frac{1}{2}(\text{Base})(\text{Height})]

                                        = 2(11)(11)

                                        = 242 square units

Area of the rectangular pyramid = 121 + 242

                                                      = 363 square units

Therefore, Option (A) will be the answer.

3 0
3 years ago
The average cost of printing a book in a publishing company is c(x) =, <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5.5x%2Bk%7
Bogdan [553]
To find K, we must use the fact that
 on the day 200 books were printed
 the average cost was $ 9 per book.
 Thus, substituting the values, we have:
 c (x) = (5.5x + k) / (x)
 9 = (5.5 (200) + k) / (200)
 Clearing K
 (200) * 9 = 5.5 (200) + k
 k = (200) * 9 - 5.5 * (200)
 k = 700
 answer
 the value of the constant k is 700
3 0
4 years ago
Read 2 more answers
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