A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), and C′(15, 0). The origin is the center of dilation. What is the scale factor of the dilation?

Answers

Answer 1

9514 1404 393

Answer:

  2.5

Step-by-step explanation:

The scale factor will be the ratio of any two corresponding non-zero coordinates:

  B'y/By = 10/4 = 2.5

  C'x/Cx = 15/6 = 2.5

The scale factor is 2.5.


Related Questions

License plates in a particular state display 2 letters followed by 4 numbers How many different license plates can be manufactured for this state?

Answers

Tbh I think the answer is 3

Answer:6,760,000

Step-by-step explanation:


At a bake sale, a student spent $5.70 buying 3 brownies and 5 cookies. His
friend spent $4.50 buying 1 brownie and 6 cookies. What is the price of a
brownie?

Answers

Answer:

i think the answer would be 90 cents for each brownie

Step-by-step explanation:

This can be solved as a system of 2 linear equations.

x = price of a brownie

y = price of a cookie

Since $5.70 bought 3 brownies and 5 cookies, our first equation is:

3x + 5y = 5.70

Since $4.50 bought 1 brownie and 6 cookies, our second equation is:

x + 6y = 4.50

So just solve the following system for x and y:

3x + 5y = 5.7

x + 6y = 4.5

Get x = 4.5 - 6y from the bottom equation and substitute for x in the top equation:

3(4.5 - 6y) + 5y = 5.7

Solve for y:

13.5 - 18y + 5y = 5.7

-13y = -7.8

y = 7.8/13 = 0.6 = price of cookie = $0.60

Now substitute this value of y into either equation and get x.  From the bottom equation,

x + 6(0.60) = 4.50

Solve for x:

x = 0.9 = price of brownie = $0.90

$0.90, so 90 cents. Cookies are $0.60, 60 cents.

The ratio of green to red jelly beans in a jar is 4 to 6. If there are 28 green jelly beans, how many total green and red jelly beans would be in the jar?​

Answers

4 x 7 = 28

6 x 7 = 42

42 is the answer UvU

Answer:

76 jelly beans total

Step-by-step explanation

4 x 8 = 28

6 x 8 = 48

28 + 48 = 76

marias mother told her to go to the health food store and buy 10 pounds of apples each bag weighed 5 pounds and contained 15 apples how many apples would she have if she bought the 10 pounds her mother instructed her to buy

Answers

Answer:

she would have 30 apples!

Step-by-step explanation:

since each bag weighs 5 pounds, and she needs 10 pounds of apples, she needs to buy two bags. if each bag contains 15 apples and she buys two bags, 15x2=30. hope this helps!

Given: BC ≅ CD and AC bisects ∠BCD
Prove: ∆ABC ≅ ∆ADC
Please show work and don't just put random letters like the first time i asked this PLEASE i really need this

Answers

Go download Conects. You gonna love it.

I need these pls!!!!!

Answers

Answer:

1) $38.40 2) $255. 3) $5.80 4) $3.12

Step-by-step explanation:

So you have to multiply the years by the amount of money you have. Then you multiply that by the percent and divide by 100. (For the last one: because its a month you have to make it a fraction so it was 8/12)

I need some help with math pls thank you :)

Answers

Answer: 0x+7y=4

horizontal line

The linear function y = 15x represents the distance y (in miles) you have traveled after x hours
during a 4-hour bicycle ride.
Which graph represents the situation?

Answers

Answer:

The graph to in the top right

Graph B, represents the situation.

What is a linear function?

A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.  Although the linear functions are also represented in terms of calculus as well as linear algebra. The only difference is the function notation. Knowing an ordered pair written in function notation is necessary too. f(a) is called a function, where a is an independent variable in which the function is dependent. Linear Function Graph has a straight line whose expression or formula is given by;

                                            y = f(x) = p x + q

Given linear function:

y = 15x

where y is distance in miles

x is time in hours.

Graph A only represents the points and not the linear function.Graph B represents the linear function.

putting the value (4,60) in given linear function,

y = 15x

⇒ 60 = 15 × 4

⇒ 60 = 60

Graph C and Graph D has no scale for x variable; the time in hours, hence do not represent the situation.

Hence, by the above observation, Graph B represents the linear function, y = 15x.

Learn more about linear function here:

https://brainly.com/question/20286983

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please help and answer

Answers

Answer: B, C, E

Step-by-step explanation:

Answer:it is C:3 + 2x + 2x

Step-by-step explanation:i hop this helps and have a nice day and thank you

Graeme earns $4.23 for each half hour that he works. How much will he make after 4 hours of work?

Answers

Answer:

[tex]4.23*8=33.84[/tex]

Graeme will make $33.84 after four hours of work.

how many solutions does this equation have 2m=8+3m

Answers

Answer:

2

Step-by-step explanation:

because there are 2 x'S

Answer:

hiiii lol. so ganfNFnnq6mq6n1j

A store is advertising a sale with 10% off all items in the store. Sales tax is 5%.A 32-inch television is regularly priced at $295.00. What is the total price of the television, including sales tax, if it was purchased on sale? Fill in the blank to complete the sentence. Round your answer to the nearest cent.

Answers

Answer:

$280.25

Step-by-step explanation:

Step one;

given

price= $295.

Discount

10% of 295

=10/100*295

=0.1*295

=29.5

new price= 295-29.5=

=$265.5

Tax

5% of 295

=5/100*295

=0.05*295

=14.75

tax=$14.75

Total price= discount sales+tax

=265.5+14.75

=$280.25

-9 ( greater less than)
(> with a line under it)
2m + 2 - 3

Answers

Answer:

m is less than or equal to -4

Step-by-step explanation:

How would you express the area of the rectangle using the Distributive Property?

A rectangle with length x plus 5 and width 3.
A. 5(x + 3)
B. x(3 + 5)
C. 3(x + 5)
D. 3x + 5

Answers

Answer:

The area of the rectangle can be found using two different expressions: a(b + c) or ab + ac. The equality of these expressions, a(b + c) = ab + ac, is the distributive property.

The expression that shows the length and width of the rectangle in distributive format is 3(x + 5) = 3x + 15 and this can be determined by using the distributive property.

Given :

A rectangle with length x plus 5 and width 3.

The distributive property is given by:

a(b + c) = ab + ac

The above expression is known as the distributive property. Where a, b, and c represents the three different variables.

So, according to the given data, the length of the rectangle is (x + 5) and the width of the rectangle is 3.

The expression shows the length and width of the rectangle in distributive format.

3(x + 5) = 3x + 15

The above expression also represents the area of the rectangle.

Therefore, the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/11338001

Justin uses 2/3 of a gallon of paint to cover 1/12 of his bedroom wall. How much paint is needed to cover the entire wall

Answers

Answer:

He would need 2/4 gallon... if not then sorry

Step-by-step explanation:

1) The area of the pizza is 36πin. What is the radius of the pizza?​

Answers

Answer:

3.3851375012865377216884767093646, rounded to 2 sig figs, it would be 3.4 inches.

Answer:

3.3851375012865377216884767093646

Step-by-step explanation:

Find the value of W. please help

Answers

Answer:

39 degrees

Step-by-step explanation:

Subtract 90 (for the right angle) and 51 (the given angle) from 180, since all angles in a triangle add up to 180.

180-90-51 = 39

Answer:

I think the answer is 39 degrees

Step-by-step explanation:

Welcome to another new game show, “Spinning for Luck!” As a contestant, you will be spinning two wheels. Each wheel is divided into equal sectors. The first wheel determines a possible dollar amount that you could win. The second wheel is the “multiplier”. You will multiply the results of your spins to determine the amount you will win. Unfortunately, you could owe money if your multiplier lands on –2!

a. What is the probability of winning $100 or more?
b. What is the probability of owing $100 or more?

Answers

Answer a ) 25%

Answer b ) 8.33%

The following formula can be used to determine the likelihood of both winning and owing $100 or more:

a. ) Chance of winning at least $100:

On the first wheel, there is a 2/6 = 1/3 chance of landing in a sector that equates to $100 or more.

On the second wheel, there is a 3/4 chance of landing on a multiplier other than -2.

The odds of both happening are (1/3) * (3/4) = 1/4 or 0.25.

The likelihood of earning $100 or more is thus 0.25, or 25%.

b. ) Likelihood of having at least $100 in debt:

The odds of landing on a sector with a value on the first wheel that is less than or equal to -$50 are 2/6 = 1/3.

A landing on a -2 multiplier on the second wheel has a 1/4 chance of happening.

1/12, or 0.08333, is the likelihood that both occurrences will occur (1/3) * (1/4).

Thus, the likelihood of owing $100 or more is 0.08333, or around 8.33%.

Therefore the final answer is 25% and 8.33%.

To know more about probability visit : https://brainly.com/question/11234923

#SPJ1

Part B was p + 0.2p. Combine the like terms in the expression for part B to create an equivalent expression. PLEASE HELP!

Answers

Answer:

1.2p

Step-by-step explanation:

p=1p

p+0.2p is equal to 1p+0.2p which equals 1.2p

Answer:

p + 0.2p  =  1p + 0.2p  = 1.2p

Step-by-step explanation:

i just did this

What does the absolute value measure?

Answers

Answer:

Mag, real num, complex num, vector

Step-by-step explanation:

Absolute values measures magnitude of a real number, complex number, or vector. All numbers in the absolute value become positive :)

Plz mark brainliest

Answer:

absolute value measure of the magnitude of a real number complex number or vector

How to calculate slope of a line STEP-by-STEP

Do not spam
If you spam I will report!

Answers

Step-by-step explanation:

You want to start by looking for two coordinates and decide which ones you'll use.

Then you want to find the difference between the two y coordinates also known as the rise.

Then you'll want to find the difference between the two x coordinates also known as the run.

After that you'll want to divide the difference of the two y coordinates with the difference of the x.

Hopefully this helps, much love.

Chart given to best illustrate.

[tex]8-4/4-2=4/2=2[/tex]

8 is from the right side which is subtracted by the 4 in the left equation. Then you divide that by 4 with 2 which results in 2. You end up with 4/2 and bingo!

2

Step-by-step explanation:

do you have a graph or points

graph it is rise over run wich is y/x

and if its points then you do y1-y2/x1-x2


Write the slope-intercept form of the equation of the line given a slope of 3 and a y-intercept
of -4
I need help ASAP math test :(

Answers

y=3x-4

There you go my friend. Please consider brainliest

What is the slope of the linear function represented in
the table?

Answers

1/7 is the slope because doing rise over run we know it rises one and travels 7 :)

18(5-3w) distributive property

Answers

Answer:

90-54w

i think this is the answer.

Lisa hikes 9 miles in 2 hours. At this rate, how far does she hike in
1/6
hours?

Answers

Answer:

72 miles

Step-by-step explanation:

Answer:

0.75 or 3/4 miles hiked in 1/6 hours

Step-by-step explanation:

2 hours = 120 minutes

1/6 x 60 = 10 minutes

9 / 120 = 0.075 miles per minute

10 x 0.075 = 0.75

If five friends split a $98.25 bill, about how much should each friend pay?

O about $17
O about $18
O about $19
O about $20

Answers

Answer:

about $20 because $98.25/5=$19.65

Step-by-step explanation:

30 is 60% of what number ?

Answers

Answer:

50

Step-by-step explanation:

Hope this helps!

What decimal is equivalent to 5/6?

Look at the picture.

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

B. 8.3 with the bar on the 3

Step-by-step explanation:

B because the decimal of 5/6 is 8.3333333 and so on to represent the repeating and endless 3 put a bar on the 3.

Evaluate if r = 7 need helpppp

Answers

Answer:

-5

Step-by-step explanation:

if r was 7 it would be 7-12 so 7 - 12 is -5

Answer:

-5

Step-by-step explanation:

if r is 7

7-12=-5

Which of the following graphs shows a system with a infinite number of solutions

Answers

Answer:

D

Step-by-step explanation:

There is only one line that crosses the origin. Because there is only one line, there is an infinite amount of solutions.

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