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3 years ago

The pre-image and image of what transformation are not congruent?

Mathematics

2 answers:

Olegator [25]3 years ago

7 0

Answer: d. dilation.

Step-by-step explanation:

A rigid transformations is a transformation which always produces an image that is exactly same shape and the size as the pre- image.

There are four kinds of rigid transformations:

1) translation 2) reflection 3) rotation 4) glide reflection.

They all create congruent images.

A dilation is a transformation that creates an image that is the exactly same shape as the pre-image, but may have a different size.

Thus, The pre-image and image of dilation are not congruent.

amm18123 years ago

4 0

Dilation as it affects the size of a figure.

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Help meeee with this questionnnnnnnnnn!!!!!!!!!!!!

Dafna1 [17]

Given:

The scale factor between two circles is $\dfrac{2x}{5y}$ .

To find:

The ratio of their areas.

Solution:

We know that, all circles are similar.

The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.

The scale factor is the ratio of the corresponding sides.

Ratio of areas of circles = Square of scale factor between two circles

$\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2$

$\text{Ratio of areas of circles}=\dfrac{(2x)^2}{(5y)^2}$

$\text{Ratio of areas of circles}=\dfrac{4x^2}{25y^2}$

Therefore, the correct option is D.

3 0

3 years ago

A certain shade of paint is made by mixing 5 parts blue paint with 2 parts white paint. To get the same shade of paint how much

uysha [10]

The concept that is useful to answering the question above is the ratio -proportion. Let x be the number of white paint that should be used in the mixture. The ratio - proportion expression of the given above is ,

5 parts / 2 parts = 8.5 quarts / x quarts

Solving for x gives an answer of x = 3.4. Thus, 3.4 quarts of white paint should be used for the mixture.

5 0

3 years ago

What equation results from completing the square and then factoring x^2+16x =41

andreev551 [17]

given x² + 16x = 41

to complete the square on this equation

since the coefficient of the x² term is 1

add (half the coefficient of the x-term )² to both sides

x² + 2(8)x + 64 = 41+ 64

(x + 8 )² = 105 → C

3 0

3 years ago

Read 2 more answers

Mrs.Rowan alotted 30 mintues at the beginning of class for her students to complete an exam. Tha lst student took 42 minutes to

shusha [124]

Hey there!

$\large\boxed{40\%}$

To find percent error, we find the difference between the prediction and the actual value. We take that difference, divide it by the prediction, and multiply it by 100.

So let's find the difference.

42 - 30 = 12

Divide the difference, which is 12, by 30.

12 ÷ 30 = 0.4

Multiply this by 100 to get the percent.

0.4 x 100 = 40

The percent error is 40%.

Hope this helps!

8 0

4 years ago

Please explain your answer and show your work

MissTica

9514 1404 393

Answer:

A. 6b³

B. 6b +6

C. p = 0.0375(6b³ +b +1)

D. $115.54

Step-by-step explanation:

Given:

3 candles with dimensions b×b×b, b×b×2b, and b×b×3b

with wicks of lengths b+2, 2b+2, 3b+2

wick costs $0.005/cm; wax costs $0.03/cm³

selling price is material cost + 25%

Find:

A. an expression for total volume

B. an expression for total wick length

C. an expression for the purchase price of a set

D. purchase price for a set with base area 64 cm²

Solution:

A. The sum of the volumes of the three candles is ...

v = b³ +2b³ +3b³

v = 6b³

B. The sum of the wick lengths is ...

L = (b +2) +(2b +2) +(3b +2)

L = 6b +6

C. The selling price is 25% more than the cost of materials so is ...

p = (1.25)(0.03×6b³ +0.005×(6b +6)) = 0.225b³ +.0375b +.0375

p = 0.0375(6b³ +b +1)

D. The side of the base is the square root of the base area, so is ...

b = √(64 cm²) = 8 cm

Then the price of a set of candles is ...

p = 0.0375(6·8³ +8 +1) = 0.0375·3081 = 115.54

Purchase price for a candle set with a base area of 64 cm² is $115.54.

4 0

3 years ago