Triangle FGH has vertices F(−5, 0), G(0, 5), and H(5, 0). A dilation, centered at the origin, is applied to this triangle. The image has vertices F′(−30, 0), G′(0, 30), and H′(30, 0).

What is the scale factor of this dilation?

Answers

Answer 1

Answer:

The scale factor of the dilation is 6.

Step-by-step explanation:

Dilation of a Triangle

A dilation is a transformation that produces an image that is the same shape as the original but at a different size.

Dilating a point centered at the origin means multiplying its coordinates by a fixed scale factor k.

If point A(3,6) is dilated centered at the origin by a scale factor of 4, then its new coordinates are A'(12,24).

Triangle FGH has vertices F(−5, 0), G(0, 5), and H(5, 0).

It's known a dilation, centered at the origin, is applied to this triangle and the image has vertices F′(−30, 0), G′(0, 30), and H′(30, 0)

Comparing the coordinates F and F', the x-coordinate is scaled by a factor of (-30)/(-5)=6

Comparing the coordinates G and G', the y-coordinate is scaled by a factor of (30)/(5)=6

Comparing the coordinates H and H', the x-coordinate is scaled by a factor of (30)/(5)=6

Since all the scale factors are the same, we can conclude the scale factor of the dilation is 6.

Answer 2

Answer:

the answer will be 6

Step-by-step explanation:

i just multipled 5 to 30


Related Questions

WILL MARK YOU BRAINLIEST HURRY IM ON A TIME LIMIT

Answers

Answer:

The last one.

Step-by-step explanation:

GIMME THE BRAINLYNESS

Answer:

Our answer i believe is A if u multiply correctly by the y and x axis.

Step-by-step explanation:

pls mark me brainiest

Paul Smith pays $50.00 a month for group health insurance. There is a $300 deductible. His medical bills for the last year were $2,600.00. Paul’s insurance company provided payment of 80% of the bills less the deductible. What was Paul’s total cost (including the monthly premium)?

Answers

Answer:

$1,360

Step-by-step explanation:

Take the monthly payment of $50 and multiply it by 12 because there is 12 months in a year which is $600. Next subtract $2,600 by your deduction of $300 which is $2,300. Then multiply by 20% because the insurance pays 80% leaving you with 20%, you get $460. Add $460 and $300 because those are the amounts you paid and you get $760. Now add the $600 to the $760 because of the monthly payment. The total comes out to $1,360.

Martha wants to go to band camp this summer that costs $103.50 she has $10 and plans to save $5.50 each week. How many weeks will it take her to save the money? In algebra pls

Answers

Answer:

19 weeks

Step-by-step explanation:

You'll be looking for an equation the form of

y=mx+b

Given:

b = $103.50

m = $5.50

x = ? (where x is in weeks)

Next, set y = 0

--> mx+b = 0

Rearrange

x = (-b/m)

Plug in b and m:

x = (-(-103.5)/5.5) = 18.818

Rounding up, it will Martha 19 weeks to save enough money.

someone, please help worth lots of points
The regular price of a swimsuit in the junior department of a store is $54. The store advertises an end-of-season sale at 40% off the regular price of all swimsuits. Two weeks later the store advertises a bonus sale at an additional 1/5 off the end-of-season sale price of all swimsuits. Shannon and Mary decide this is a great time to shop for swimsuits. Shannon figures that the swimsuits are now 60% off the regular price. Mary disagrees, because she figures that the total discount is actually less than 60%.
a. What is the cost of a swimsuit during the end-of-season sale? Justify your reasoning using a model.
b. What is the cost of a swimsuit during the additional 1/5-off bonus sale? How can you show this with a model?
c. Did Shannon or Mary figure the discount correctly? Use a model to explain.
answer for a b and c plzzz

Answers

Answer:

the cost of a swimsuit during the end-of-season sale is 21.6 because 40% of 54

b. 21.4

40% of 54 +(-1/5)

c. No because the 60% of 54 is 32.4

Store A
Store B
What is the amount of sales tax charged on the
repaired computer at Store A?
Computer
Repair
$1,200
$1,350
Sales Tax
6%
7%
Gratuity
15%
15%
Shipping
Free
2% of total
price

Answers

Answer:

72

Step-by-step explanation:

help ill give brainlist

Answers

Answer:

I think it's -0.5 so F

Step-by-step explanation:

kayla is tracking the progress of her plants growth. today the plant is 8 cm high. the plant grows 2 cm per day.

a. write a linear model that represents the height of the plant after d days

b. when will the plant be at a height of 20 cm?​

Answers

Answer:

30 cm

Step-by-step explanation:

A. Multiply daily rate by number of days and add that to the starting height:

Height = 2d + 8

B. Set height to 20 and solve for d:

20 = 2d +8

Subtract 8 from both sides

12 = 2d

Divide both sides by 2

D = 6

It wall take 6 days.

Evaluate 3/4 · 1/2 .

Answers

Answer:

Exact Form: 3/2

Decimal Form:1.5

Mixed Number Form: 1 1/2

Step-by-step explanation:

(-6, 9), (7,-9)
i need to find the slope

Answers

The slope of this equation is -18/13

Sarah uses long division to convert a rational number x/y to its decimal form. Which of the following statement cannot be true?

Answers

What’s the equation look like ?

WILL MARK BRAINLIEST
Which statement is true about the polynomial
5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified?
It has 3 terms and a degree of 9.
It has 3 terms and a degree of 10.
It has 4 terms and a degree of 9.
It has 4 terms and a degree of 10.

Answers

Answer:

B. It has 3 terms and a degree of 10

Step-by-step explanation:

Ik this is late but I hope this helped... somehow

t(x) = 7x, t(x) = 49

Answers

Answer:

x = 7

Step-by-step explanation:

7 * x = 49

x = 49

um i dont really know what you meant but i hope this helps in some way!

X=7. I really hope this helps

PLS HELP WILL GIVE BRAINLIEST

Answers

Answer: 3rd answer choice ( 3a^2b^11)/2

Step-by-step explanation:

Move the negative exponents in the denominator up and make them positive; simplify them with the pre-existing "a"s and "b"s by adding their exponent values together, then simplify -18/-12 to get 3/2 with the exponents added on the end of the numerator

What other information is needed to prove that Triangle CEB is congruent to Triangle AED by SAS congruence theorem?

Answers

Answer:

C

Step-by-step explanation:

Im pretty sure, but double check

write the equation of the line through (10, -2) and (2, 14)

Answers

Answer:

:)

Step-by-step explanation:

x2-x2 y2-y1

equation- 14+2/2-10

If June continues to walk 1.7 in one hour, how many
miles will June walk in 2.8 hours? Estimate first, then
compare your answer to the estimate.

What would the answer be.

Answers

Can u send me comments so I remember to come back because I have go and I will answer your question

Power functions mastery test

Answers

This isn’t a question this is just a statement

Answer:

i'm going fail my test because of this

Step-by-step explanation:

what is the sum or difference of (x+18)+(-x+4)​

Answers

Answer:

the answer to (x+18)+(-x+4) is 22

What is 7/8 in decimal and percentage form?

Answers

Answer:

0.875

Step-by-step explanation:

Answer:

0.875 and 87.5%

Step-by-step explanation:


2.5 x 2.5 x 2.5 - 1.4 x 1.4 x 1.4
(2.5)2+ 2.5 X 1.4 + (1.4)2​

Answers

Answer:

a) 2.5×2.5×2.5-1.4×1.4×1.4=12.881

b) (2.5)2+2.5×1.4+(1.4)2=31.5

Step-by-step explanation:

yuh multiple 2.5 three times and subtract 1.4 multiple three times. 2.5×2.5×2.5-1.4×1.4×1.4

15.625-2.744=12.881.

b) when opening bracket Yuh multiple the number in the bracket by the number outside the bracket. when bracket is open Yuh can now add, multiple to obtain your answer please

(2.5)2+2.5×1.4+(1.4)2

5+2.5×1.4+2.8

7.5×4.2=31.5

giving out extra points and marking brainliest, need help fast

Answers

Answer:

x=43.3

Step-by-step explanation:

Which best states George Washington’s connection to the 1787 Constitutional Convention? He was an honorary delegate because he had led the Continental army. He delivered the new Constitution to Great Britain as an ambassador. He led the Constitutional Convention because he was respected throughout the nation. He led the Constitutional Convention because he was known for his wisd

Answers

Answer:

he led the constitutional convention because he was respected throughout the nation

Step-by-step explanation:

The best states George Washington’s connection to the 1787 Constitutional Convention is: He led the Constitutional Convention because he was respected throughout the nation.

What is Constitutional Convention ?

The Philadelphia Convention is also known as the Constitutional Convention took place between May 14 and September 17, 1787, to resolve the problems of the United States government.  

The delegate elected to George Washington to led the convention, the presence of Washington a national hero respected by all helped to legitimize the convention. This result of the Convention was the Constitution of the United States of America.

The best states George Washington’s connection to the 1787 Constitutional Convention is: He led the Constitutional Convention because he was respected throughout the nation.

Learn more about Constitutional Convention;

https://brainly.com/question/2039754

#SPJ6

Lin has a pet German shepherd that weighs 38 when measured in one unit and 84 when measured in a different unit. which measurement is in pounds, and which is in kilograms?

Answers

Given :

Lin has a pet German shepherd that weighs 38 when measured in one unit and 84 when measured in a different unit.

To Find :

Which measurement is in pounds, and which is in kilograms.

Solution :

We know, mass in kg and pounds are related as :

[tex]m_P = 2.2m_{kg}[/tex]

Putting, [tex]m_{kg}=38[/tex] and [tex]m_P=84[/tex] , we get :

LHS = 84

RHS = 2.2 × 38 = 83.6 ≈ 84

Since, LHS = RHS .

Therefore, 38 units is Kg and 84 units in Pounds.

Hence, this is the required solution.

Given:15y+7=12-20y prove:y=1/7 (I just need the prove thanks)

Answers

Answer:

15y+7=12-20y (add 20y to both sides)

35y+7=12 (minus 7 from both sides)

35y = 5 (divide both sides by 35) (5/35=1/7)

y= 1/7

Answer:

64/7 = 64/7 yes y = 1/7

Step-by-step explanation:

To prove this we simply have to plug in!

15(1/7) + 7 = 12 - 20(1/7) (simplify)

15/7 + 7 = 12 - 20/7 (simplify further)

64/7 = 64/7

So yes y = 1/7

ILL GIVE BRAINLIEST PLEASE ANSWER

Answers

Answer:

rice

Step-by-step explanation:

the best

Classify the triangle. (Explain each type if you can!)
A. equiangular
B. right
C. acute
D. obtuse

Answers

I will explain them since someone already gave the answer....

Right; is a angle that is 90 degrees

Acute: is an angle that is lower than 90 degrees

Obtuse: an angle that is larger than 90 degrees......

Hope I helped! Brainlist?

Mark wants to buy 5 new video games from
GameStop. Each video game is $17.99 and he has an
8% off coupon. How much will he have to pay at the
register?

Answers

He will have to pay about $82.34 at the checkout.

10 POINTS??!!!!!!! PLZ HELP ME WITH THIS Abby has $465 in her saving account. She wants to save at least $915. Write and solve an inequality to determine how much more money Abby must save to reach her goal. Let d represent the amount of money in dollars Abby must save to reach her goal.

Answers

450 more till she has enough

78 is 0.6% of what number? Use pencil and paper. Would you expect the
answer to be a lot less than 78, slightly less than 78, slightly greater than 78, or
a lot greater than 78? Explain.
78 is 0.6% of
(Type an integer or a decimal.)

Answers

Answer:

Answer is

13000

Step-by-step explanation:

78÷0.6%=13000

I NEED HELP SOMEONE HELP ME PLS ASAP

Answers

Answer:

im not sure but is this google slides

Step-by-step explanation:

Answer:

same I'm not sure sorry

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