How does a dilation affect the side lengths and angle measures of a figure?

Answers

Answer 1

After the dilation, the lengths are multiplied by the value of the scale factor while the angles remain same.

What is image dilation?An enlargement or reduction of a figure that preserves shape but not size.All dilations are similar to the original figure.Dilations have a center and a scale factor.

Given is to find how dilation affect the side lengths and angle measures of a figure

Assume that the initial length of the figure

After the dilation, the coordinates will become -

(x, y) → (Kx, Ky)

Where {K} is the scale factor by which the image is dilated.

The angles after the dilation remain same.

Therefore, after the dilation, the lengths are multiplied by the value of the scale factor while the angles remain same.

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Related Questions

If f(x) = x + 2 and g(x) = 3x +4, then (g°f)(x) = ?
A) 3x +6
B) 3x +10
C) 3x² + 6x +4
D) 3x² - 10x +6​

Answers

Answer:

B

Step-by-step explanation:

17 divivded by 5214 answer

Answers

Answer:

0.0032604526275412351361718450326

Step-by-step explanation:

17 divided by 5214 is 0.0032604526275412351361718450326

Hope I helped :)

Please consider Brainliest :)

Answer:

306.705882353

Step-by-step explanation:

A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing nearby casts a shadow 5 feet long, and the person is 4 feet tall, how tall are the birdhouse and the pole? How do you put this in ratio form??

Answers

Answer:
12
Step-by-step explanation:
15 feet total amount combined by pole and
birdhouse
4 foot tall person makes 5 feet long shadow
5×3=15
4x3=12 so the birdhouse and pole are 12 feet

Name each angle in four ways. Then classify the angle as acute, right, obtuse, or straight.

Answers

Answer:

∠ ABC∠CBA∠B∠1Obtuse

Hope this is helpful

In the drawing below, QS bisects ZPQR,PO = 9 units, PS4 units, and RS-3 units.

What is OR in units?
O A 21
O B. 12
O C. 8
o D. 6 3/4

Answers

9514 1404 393

Answer:

  D.  6 3/4

Step-by-step explanation:

The angle bisector divides the sides proportionally:

  QR/PQ = RS/PS

  QR = PQ×RS/PS = 9×3/4

  QR = 6 3/4

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $74. A season ski pass costs $350. The skier would have to rent skis with either pass for $25 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?

Answers

Answer:

5 days

Step-by-step explanation:

On 5 days the daily pass would cost $495 while the season past would cost $475.

18d+6e what is the awnser

Answers

Answer:

6(3d+e)

Step-by-step explanation:

PLESE ANSWER NUMBER 8 ASAP !!!!!

Answers

Answer:

the first one

Step-by-step explanation:

a is the answer hope it helps

Need help asap giving 15 points!!

Answers

Answer:

15

Step-by-step explanation:

its a 4x4 so 16 but you subtract the area of the small square that is covering it which is 1 so 16-1 = 15

arlene begins a test with a possible total of 80 points. she loses 2 points every questions she answers incorrectly.

Answers

Answer: how many questions were incorrect? take that number and multiply it by 2. then subtract whatever u got from 80.

Step-by-step explanation:

Help!!!
x ≥ 4 if and only if 3x ≥ 12.

Answers

Answer:  If 3x ≥ 12 then x ≥ 4 is true.

But x can be greater than or equal to 4 in other conditions:

4x ≥ 16

-3x ≤ -12

Step-by-step explanation:

2/5 part of the total number of students of a school are girls . If there are 240 boys, find the number of girls​

Answers

Answer:

160 girls

Step-by-step explanation:

2/5 = girls

3/5 = boys

3/5 = 240

to find 1

240/3

80

2/5 = 160

Huilans age is two times Thomas’s age. The sum of their age is 15. What is Thomas age? (Please help!)

Answers

Answer:

huilans age is 10  and thomas is 5. 5 is half of 10, and 5 and 10 add together to make 15

Step-by-step explanation:

dont ask for working because i dont know what working to write :(

Plz plz plz help me !!!!!!!!!!!

Answers

Answer:

look at any notes, to bits at a time hope this helped!

Step-by-step , explanation:

Answer:   x-6 < -15

=======================================================

Explanation:

"six subtracted from x" translates to "x-6"

So the word problem updates to "x-6 is less than -15"

Then we replace the "is less than" with "<" without quotes.

---------

Extra info: If you want to solve for x, then we add 6 to both sides like so

x-6 < -15

x-6+6 < -15+6

x+0 < -9

x < -9

So any number smaller than -9 will work in place of x.

pls help hurry man cmon

Answers

Answer:

associative property of addition.

In step 3:

1 + 19

20

Here we will add the integers, so division and multiplication eliminated.

Inverse property of addition is: a + (-a) = 0, which will result 0 always

Indicate which property is illustrated in step 3?

[tex] \rm \: Step \: 3 \asymp > 1 + 19[/tex]

Associative property of addition

This property states that when performing addition, how numbers are grouped will not change the resulting sum...~

Make a number line and mark the points that represent the following values of x. 5x<12

Answers

Answer:

The answer is: x < 2.4

Step-by-step explanation:

5x < 12

If we divide both sides by 5, we get an equation like this:

x < 12/5

Then we can convert that fraction to a decimal and we get this!

x < 2.4

Finally, in order to draw it on the number line, we need to do this:

Find 2.4 on the number line, then draw an open circle on that 2.4. Then, attach an arrow going from that circle all the way to the left of the number line! The circle and arrow represents the fact that "x" is not equal to 2.4, but it is smaller. If it was equal to 2.4 or smaller, then the open dot would have to be a closed dot!!!!

....Could you please HELP me....

Answers

Answer:

the answer is +4 because if you count it it is going up in fours

Cups cost x dollars each. Mugs cost (x + 2) dollars each. (a) Write down an expression, in terms of x, for the total cost of 12 cups and 6 mugs. ............................................................................... dollars (2) (b) The total cost of 12 cups and 6 mugs is 57 dolllars.
work out the cost of 1 cup

Answers

Answer:

a. [tex]18x + 12[/tex]

b. $2.50

Step-by-step explanation:

a. If there are 12 cups and 6 mugs, and one cup is x and 1 mug is x+2, then multiply to get 18x + 12

b. Use the previous equation 18x+12=57 to get your answer. First move the 12 over to change the 57 to a 45. Then divide 45/18 to get 2.50 as you answer.

At this rate how long will it take the plane to land? Fill in the blank.

The plane will land in ________ minutes.

Answers

The plane will land in 15 minutes

Could somebody help me understand how to solve this to find how many solutions there are?

Answers

Answer:

Exactly one solution.

Step-by-step explanation:

Working alone, it takes Chelsea 13 hours
to tar a roof. Ashley can tar the same roof
in 9 hours. How long would it take them
if they worked together?

Answers

Answer:

24 hours

Step-by-step explanation:

hoped this helped

Please I need answers for this one or two are fine

Answers

Answer:

a:1100....b:11000....c:110000

Step-by-step explanation:

Answer: A= 1100

B= 11000

C= 110000

Step-by-step explanation:

i need help on putting my students grades in online

Answers

Answer:

Coffee might help

Step-by-step explanation:

and a good rest and then some healthy salad :)

Find the solutions to the equation 102x 11 = (x 6)2 – 2. which values are approximate solutions to the equation? select two answers. –9.6 –7.4 –4.6 –2.4 0.6

Answers

The approximate soluton of the equation 102x + 11 = (x + 6)² – 2 is 0.6. Then the correct option is E.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The quadratic equation is given below.

102x + 11 = (x + 6)² – 2

Open square, we have

       102x + 11 = x² + 12x + 36 – 2

x² – 90x + 23 = 0

By the formula, we have  the value of x

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{90 \pm \sqrt{(-90)^2}-4*1*23}{2*1}\\\\x = 89.74, 0.256[/tex]

The approximate soluton of the equation 102x + 11 = (x + 6)² – 2 is 0.6. Then the correct option is E.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Answer:

A and D just did on edge

Step-by-step explanation:

32/w=4/12 on proportions on get more math

Answers

Answer:

w=96

Step-by-step explanation:

4x8= 32 so 12x8= 96 therefor it is 32/96

Simplify this equation 8x-4+6x+15

Answers

Answer:

14x + 11

Step-by-step explanation:

Collect all the like terms together.

Positive 8x and positive 6x both have an x so after adding them together you get 14x. Negative 4 and positive 15 are also like terms so after adding them together you get positive 11.

The final answer being 14x + 11

Answer:

14x + 11

Step-by-step explanation:

8x - 4 + 6x + 15 =

8x + 6x + 15 - 414x + 15 - 414x + 11

simplify this equation is 14x + 11

A farmer needs to purchase a rainwater harvesting tank and is deciding on the shape. He needs a tank that can hold at least 90 cubic feet of water. Select all the tanks that have a capacity of at least 90 cubic feet.

Answers

Answer:

Tank A and Tank D

Step-by-step explanation:

Got it right

The tanks that have the capacity more than 90 cu.ft is Tank A and C.

What is Volume?

Volume is the amount of space occupied by a three dimensional object, it is represented in cubic units.

The volume of a Cylinder is given by

V = πr²h

The Volume of a Cone is given by

V= πr²h/3

The volume of the composite figure in Tank A and D,

Volume =  Volume of cylinder + Volume of Cone

Tank A :

Volume =  πr²h + πr²h/3

Volume = ( π * 2.5² * 4 ) + ( π *2.5² *2 )/3

Volume = 91.58 cu.ft

Tank B :

Volume =  πr²h/3

Volume =  π * 4² *5 /3

Volume = 83.7 cu.ft

Tank C

Volume = πr²h

Volume = π * 2² * 6

Volume = 75.36 cu.ft

Tank D:

Volume =  πr²h + πr²h/3

Volume = π * 3²*3 + π *3²* 3 /3

Volume = 113.04 cu.ft

To know more about Volume

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What is the length of PR?
A. 7
B. 8
C. 6
D. 9​

Answers

Answer:

C

Step-by-step explanation:

The triangles are similar by the AA postulate, thus the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{PQ}[/tex] = [tex]\frac{AC}{PR}[/tex] , substitute values

[tex]\frac{20}{5}[/tex] = [tex]\frac{24}{PR}[/tex] ( cross- multiply )

20PR = 120 ( divide both sides by 20 )

PR = 6 → C

Find the slope of the line that passes through (5, –6) has a y-intercept of –16.

Answers

Answer:2 I think

Step-by-step explanation:

(5,-6) (0,-16) -16- -6/0-5 = -10/-5 = 2

(x + 5)(5 + x)
is this a perfect square

Answers

Answer:

NO this isn't a perfect square

Step-by-step explanation:

Noooo not a perfect square
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i am always getting colds, that is why i often have a handkerchief with me Antonio machado naci en sevilla, espaa en 1857 y es uno de los poetas ms ledos todava. fue profesor de francs y se cas con leonor izquierdo en 1909. ella muri de tuberculosis en 1912, dejndolo consumido en una gran depresin que lo llevara a escribir un grupo de poemas.machado tambin lleg a ser miembro de la real academia de la lengua espaola, la institucion que regula el buen uso del idioma espaol, por lo que su poesa es muy importante ya que destaca estos valores.l crea que la poesa se debe hablar desde el corazn. de all su ms conocido poema "proverbios y cantares xxix" en campos de castilla.que ha servido de inspiracin para cantantes modernos como joan manuel serrat, espaol, quien canta sus versos ahora acompaados de msica. este poema habla de un poeta que est muriendo lejos de su pas preocupado por su paso por esta vida. aqu est un extracto de ese poema:caminante, son tus huellasel camino y nada ms;caminante, no hay camino,se hace camino al andar.al andar se hace el camino,y al volver la vista atrsse ve la senda que nuncase ha de volver a pisar.caminante no hay caminosino estelas en la mar.huellas- footprintssenda- trailestelas- wakes of a boat in the waterteniendo este poema en mente, escribe tus propias ideas para describir como quieres vivir para que tu paso por ella deje huellas (footprints).your response must contain at least 5 detailed and complete sentences in spanish. you will be graded on (a) appropriate use of grammar and vocabulary, (b) completeness and detail of the response, and (c) overall quality of the response. Does anyone know the email to contact whoever you are supposed to contact for problems? The writer wants to support the line of reasoning in the fifth paragraph (sentences 13-16) with a comment that reflects the complexity of the historical narrative in the passages earlier paragraphs. Which version of the underlined text in sentence 14 (reproduced below) most effectively accomplishes this goal? however, the sawyer homestead burned to the ground in 2007 please help me im in need! Which of the following is considered an individual sport? A. Hockey B. Golf C. Basketball D. Soccer Please select the best answer from the choices provided. A B C D. Complete the following sentences by correctly conjugating the verb in the parentheses. In the parentheses, if the person you are supposed to conjugate for isn't clear in the sentence, you have (the verb, the person you are to conjugate it for). For example: ________ (caminar, yo) en la calle. The correct conjugation is "Camino".1. Mi padre y yo (vivir) en un piso.2. Mi abuelo (comer) a horas fijas.3. ______ (cantar, ellos) todo el da.4. ______ (trabajar, vosotros) muy duro.5. Yo _____ (escribir) un libro.6. Este hombre ______(tocar) muy bien la guitarra.7. Mis amigos _______ (beber) demasiado.8. A qu hora ________ (cenar, vosotros)?9. La mujer _________ (hablar) muy fuerte.10. Los nios _________ (gritar) mucho.11. _________ (abrir, nosotros) las ventanas para crear una corriente de aire.12. El perro ________ (pasar) el tiempo durmiendo.13. La madre _______ (abandonar) a su hija.14. Vosotros ________ (escuchar) la radio.15. Las fieras ________ (devorar) sin piedad a sus presas.16. La gente ________ (andar) por la calle.17. _______ (dibujar, vosotros) bellos retratos y paisajes.18. ________ (vivir, vosotros) en una casa muy grande.19. ________ (entrar,nosotros) en el museo del Prado.20. ________ (quedar, yo) con ellos. Which word or phrase is the best one to use to communicate to a doctor thatyou aren't feeling well?O A. GrossB. AwfulC. Really badD. Nauseated Do you prefer doughnuts over cake or cake over doughnuts?A. I prefer doughnuts over cake!B. I prefer cake over doughnuts! ( This is for fun! If you are allergic to any of these....sorry! ) $32 per hour; cents per minute Ann borrowed $6000 from the bank for 5 years at 12% rate. How much does she owe the bank? I need your help PLEASE!!! 19= 7a + 7 -2 what is the and to this need help ASAP Question 2.2 write down the general formula for the nth term of sequence. Mystic Rose What instruments did the Greeks not utilise while building geometric structures?Check all the correct answersA. CompassB. straightedgeC. ProtractorD. Eraser Which of the following would NOT exclude a potential juror from service?having a felony convictionbeing an active member of the militarybeing a member of the police forcebeing 19 years of age Which mynav module serves as the source for sales and delivery content, assets, and internet and intellectual property across industries? Which equation would you use to find the distance between the two points? A. |-6 - 5| B. |6 - 5| C. |6 - (-5)| D. |-6 + 5| can someone help me? pls answer thank you :D What polynomial must be subtracted from 2x^3 x^2 + 4x 5 so that the difference is x^3 + 2x 9?