To prove the circles are similar, which sequence of transformations will map circle A with center (-5, -4) and radius 18 to circle M with center (-2, 3) and radius 6?

Question 15 options:

Translate <3, 7> then dilate by scale factor of 3


Translate <-3, -7> then dilate by scale factor of 3


Translate <-3, -7> then dilate by scale factor of 1/3


Translate <3, 7> then dilate by scale factor of 1/3

Answers

Answer 1

Answer:

Translate <3, 7> then dilate by scale factor of 1/3

Step-by-step explanation:

-2 - (-5) = 3

3 - (-4) = 7

6/18 = 1/3

Answer 2

The sequence of transformation that will map the circle would be:

D). Translate <3, 7> then dilate by a scale factor of 1/3

Define dilation

Dilation is denoted as the process in which an object gets expanded or widened.

Given that,

Center of circle A = (-5, -4)

Radius = 18

Center of circle M = (-2,3)

To find the dilation,

⇒ [tex]-2 - (-5) = 3[/tex]

⇒ [tex]3 - (-4) = 7[/tex]

= [tex]6/18[/tex]

[tex]= 1/3[/tex]

Therefore, the translation will happen with <3, 7> and the dilation in the scale factor being 1/3.

Thus, option D is the correct answer.

Learn more about "Scale Factor" here:

brainly.com/question/22644306


Related Questions

find the value of x...

Answers

Answer:

x = 23

Step-by-step explanation:

The 38 degree angle and the (6x +4) angle are supplementary which means both have to add up to 180 degrees. 180 - 38 leaves us with 142. When you plug in 23 to x you get (6(23) + 4) 6 times 23 is 138 and 138 plus 4 is 142. Which gives us our answer of x = 23.

Susan is planting a flower garden. She planted 4 lilies for every 5 rose bushes. If Susan plants 16 lilies, how many rose bushes did she plant?

Answers

Answer:

20 rose bushes

Step-by-step explanation:

Answer: 20 rose bushes

The temperature of chicken soup is 192.7°F. As it cools, the temperature of the soup decreases 2.3°F per minute. What is the temperature in degrees Fahrenheit of the soup after 25 minutes?

Answers

Answer: 135.2 °F

Step-by-step explanation:

The temperature decreases at a rate of 2.3 °F per minute.

This means that in 25 minutes, the temperature would have reduced by:

= 2.3 * 25

= 57.5°F

If the original temperature was 192.7 °F, the temperature after 25 minutes will be:

= 192.7 - 57.5

= 135.2 °F

help please! Use the area to find the value of x:

Answers

Answer:

x = 6

Step-by-step explanation:

A = 1/2bh

36 = 1/2(12)(x)

x = 6

I need a quick update on wat we've been learning in 8th grade

Answers

U expect someone to explain EVERYTHING in 8th grade for u‍♀️

2(3×+4)=4×+12 i need help with this problem​

Answers

Answer:

x = 2

Step-by-step explanation:

2(3x + 4) = 4x + 12

6x + 8 = 4x + 12

2x + 8 = 12

2x = 4

x = 2

A bank offers an investment account with an annual interest rate of 1.27% compounded quarterly. Heather invests $3400 into the account for 3 years.

(A) Assuming no withdrawals were made, how much money is in Heather's account after 3 years?
(B) How much interest is earned on Heather's investment after 3 years?

Answers

I believe it’s A good luck

Can someone please help me with this math question

Answers

Answer:

D

Step-by-step explanation:

the graph has a negative correlation

find the value of given expression

[tex] \sqrt[3]{9 - 1} [/tex]

Answers

Answer:

2 ans ......

Step-by-step explanation:

Solution:

= ³√9-1

= ³√8

= 2 ans....

Answer:

[tex] \sqrt[3]{9 - 1} = \sqrt[3]{8 } = \sqrt[3]{ {2}^{3} } = + - 2[/tex]

A matea le encanta dibujar barquitos.Si traslado su barquito inicial 1 des veces,(2 y 3) ¿Cómo desplazo cada uno de sus puntos?

Answers

Answer:

Luego de una búsqueda online, encuentre más información sobre esta pregunta, la cual se puede ver en la imagen del final.

Básicamente lo que tenemos que hacer en este tipo de problemas, es estudiar como los puntos del barco uno cambian cuando hacemos cada transformación, usualmente con un par de puntos ya podremos notar un patrón, y de esta forma entender la transformación que utilizo para mover la figura.

Para conocer las coordenadas de cada punto tenemos que ver el valor de x asociado (el eje horizontal) y el valor de y asociado (el eje horizontal), notar que cada punto está representado por una letra, esto nos permite asociar a los puntos de los distintos barcos.

Entonces, en la transformación de (1) a (2), los cambios en los puntos son:

A (1, 7) --> A₁ (11, 11)                (sumamos 10 al eje x, sumamos 4 al eje y)

B (0, 9) --> B₁ (10, 13)             (sumamos 10 al eje x, sumamos 4 al eje y)

C (3 , 9) --> C₁ (13, 13)             (sumamos 10 al eje x, sumamos 4 al eje y)

Ok, ya con 3 puntos podemos notar un patrón, sea (x, y) un punto cualquiera en el barco (1), el correspondiente punto en el barco (2) va a ser (x + 10, y  + 4), esta es la regla utilizada para mover el barco de (1) a (2), lo que es equivalente a decir que movió el barco 10 unidades a la derecha, y 4 unidades para arriba.

Ahora Mateo vuelve a mover el barco, esta vez de (2) a (3).

De vuelta, tenemos que ver como los puntos del barco (2) cambian, y tratar de encontrar un patrón:

A₁ (11, 11) --> A₂ (9, 1)     (restamos 2 en el eje x, restamos 10 en el eje y)

B₁ (10, 13) --> B₂ (8, 3)   (restamos 2 en el eje x, restamos 10 en el eje y)

C₁ (13, 13) --> C₂ (11, 3)   (restamos 2 en el eje x, restamos 10 en el eje y)

De vuelta, ya tenemos suficiente información como para notar el patrón, para un punto (x, y) del barco (2), el correspondiente punto en el barco (3) se escribe como (x - 2, y - 10).

Es decir, movemos el barco (2) 2 unidades para la izquierda y 10 unidades para abajo, asi llegando al barco (3).

15 points! whats value of q?

Answers

Answer:

30 degrees

Step-by-step explanation:

Good luck fam

I need help please!!!

Answers

Answer:

A

Step-by-step explanation:

Write the y-intercept of the graph of -6x + y = 8.

Answers

Answer:

0,8

Step-by-step explanation:

What’s the perimeter of this figure

Answers

Answer:

26

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

11+2+6+7+(the not given side which is equal to 7-2=5)

11+2+6+7+5=31


What is the approximate value of 31 square root? MAFS.8.NS.1.2
5
6
15
16

Answers

Answer:

6

Step-by-step explanation:

[tex]\sqrt{31} =5.56[/tex]

Since it's 5.56, you'll want to round UP because 5 is in the tenths and is closer to 6

Answer:

6

Step-by-step explanation:

31 square root=5.567764363

Well,after u roundup this answer u will get 6

You buy a new video game for $60.
The sales tax is 8%.

What is the total cost for the game including sales tax?

Answers

Answer:

$64.8

Step-by-step explanation:

To determine the tax, you want to make the percent into a decimal by moving the decimal point over two times the the left, which means 8% would be 0.08. Then, multiply the new decimal by the price. 60 times 0.08 is 4.8. Now, add the tax to the original price. 60+4.8=64.8, so therefore the total cost is $64.8

Natalie earns $15 per hour. The store offers her a raise-a 4% increase per hour. After the raise, how much will Natalie make per hour?

Answers

Answer:

15,6

Step-by-step explanation:

15×104/100=15,6

She make 15,6$ per hour

Elena bowls two games on Saturday. Her score in the second game is 30 more than ¾ of her score the first game. Elena's total score for the two games is 478. Write and solve an equation to demonstrate the points scored in her second game.

Answers

Answer:

222 = score in 2nd game

Step-by-step explanation:

Let x = score in 1st game

3/4(x) + 30 = score in 2nd game

x + 3/4(x) + 30 = 478         Multiply thru by 4 to eliminate the fraction

4x + 3x + 120 = 1912

7x + 120 = 1912

7x = 1792

x = 256

3/4(x) + 30 = 3/4(256) + 30

= 192 + 30

222 = score in 2nd game

Check:  222 + 256 = 478

Factor by using the distributive property: 8x - 4y + 20.
a.2(4x - 2y + 10)

b.8(x - y + 12)

c.4xy(2x - 2y + 5)

d.4(2x - y + 5)

Answers

D since if you just use the prophet

find the difference and simplify 3/4 - 2/8

Answers

Answer:

1/2

Step-by-step explanation:

(6/8)-(2/8)=(4/8)

(4/8) = 1/2

9. If AJKL - ANML, find the values of x and y.

Answers

Answer:

x = 35, y = 18

Step-by-step explanation:

Since both triangles are similar, their sides must be proportional with means all of them have a common ratio.

If NM = 16, and KJ = 40. 40/16 is the ratio from ∆NML to ∆JKL. The reciprocal(numerator and denominator flip, the product of a number and it's reciprocal is 1) of this is true from ∆JKL to ∆NML.

Now to find the missing sides you multiply a side by the common ratio to find it's corresponding side length.

Dividing by a number is the same as multiplying by the reciprocal of that number.

40/16 can be reduced to 5/2 or 2 ½ as a mixed fraction.

16/40 can be reduced to 2/5 or 0.4 as a decimal.

Since the scale of ∆JKL is greater than ∆NML, you multiply by 5/2 to get the corresponding side of ∆JKL from ∆NML.

Since the scale of ∆NML is less than ∆JKL, you multiply by 2/5 to get the corresponding side of ∆NNL from ∆JKL.

Therefore x = 14 × 5/2 = 70/2 = 35.

y = 45 × 2/5 = 90/5 = 18.

ASAP NEED HELP DUE TMR

Answers

The mean is 58 the median is 15.5

What do I do in this problem?​

Answers

Answer: p=60

Step-by-step explanation:

Angles on a straight line always add up to 180 degrees.

So, because you have an angle on the straight line with the arrow going up, you have to do:

180-110=70

This will give you the angle inside of the triangle that is next to 110.

Then you would find the angle next to 130 (using the horizontal line) by using the same method so you would do:

180-130=50

This gives you the angle inside the triangle next to 130.

Then because a triangle always adds up to 180 you would add up the 2 angles you have figured out like this:

70+50=120

Then you would take the answer away from 180 like this:

180-120=60

So, p=60

Hope this helps :)

A rational number that lies between -2/3 and 5/12​

Answers

0.97
A rational number is any number that can be expressed by 2 integers

1.
The width of a rectangle is 19 centimeters less than double the length.
Let v be length of the rectangle. Write a variable expression for the width.

Answers

Answer:

width = 2v - 19

Step-by-step explanation:

Lacey pays $15 for each hour of golf lessons and $10 for equipment rental. Is the total cost of Lacey's lesson a function of the number of hours scheduled? Fill in the table with the correct outputs.

Answers

Answer:

60

Step-by-step explanation:

15x3=45

5x3=15

15+45=60

Is Kee
Keelin wants to find the value of t in the equation
}(150 – 30) = 50. Her work is shown below.
Solve: ž (15t – 30) = 50
Choosed
Step 1: 5t -
10 = 50
The equa
Step 2: 5t = 60
Step 3: t = 12
To determ
To find the
Choose

Answers

I think is -15 but I have no idea don’t trust me tho

I need help with this question​

Answers

Answer:

It would be b I think

Step-by-step explanation:

Letter B is the correct answer to your question

for the data in the table, how many data points are in each group for the median-median line

Answers

Answer: left: 5, center: 6, right: 5

Step-by-step explanation:

Answer:

5,5,5

Step-by-step explanation:

Please answer this! Pleaseeeeee

Answers

Answer: x=50°

Step-by-step explanation:

For this question, you have to first find out whether you are using Sin, Cos or Tan.

To help you find out which one you are using you can use SOH CAH TOA to help you:

SOH-the 'S' is for Sin then the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH-the 'C' is for Cos and then the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA-the 'T' is for Tan then the 'O' and the 'A' is for Opposite over Adjacent.

In this, because you have the Hypotenuse (the length opposite the right angle) and the Adjacent (the length next to the angle you are finding) you would be using Cos.

So first you would write:

Cos x=59/91

But then because you want x on it's own you would do the inverse. So, instead of multiplying x by cos you would have to do cos-1 (the inverse of cos). This would be written as:

x=cos-1 59/91

To get the answer you would have to put this in your calculator.

So x=50°

Hope this helps :)

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