if Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?
a- (x,y) -> (-5,7y)
b- (x,y) -> (5/2x,5/2y)
c- (x,y) -> (5x,5y)
d- (x,y) -> (5/2x,7/3y) ​

If Pentagon ABCDE Was Dilated To Create Pentagon A'B'C'DE', What Rule Was Used? A- (x,y) -> (-5,7y)b-

Answers

Answer 1

Answer:

B [tex](x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)[/tex]

Step-by-step explanation:

Dilations

Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.

The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.

Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.

The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.

Thus, the rule to dilate the pentagon is:

B [tex]\mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}[/tex]


Related Questions

If two angles are supplementary and one angle is 81°, what does the second angle measure?

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Answer:

Step-by-step explanation:[tex]\geq \\ \sqrt{x}[/tex]

PLEASE HELP ME I WILL GIVE BRAINLIST just with number 6

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Answer:

ima say 200 but I'm not 110 percent sure

HHHEEEELLLLLP!!!!!!!!
Compare these rational numbers. Which of the following are true?

Answers

The answer is ii and iii

What is the 20th term of the sequence: -4, -8, -12,​

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Answer:

-80

Step-by-step explanation:

Trust me

an account executive earns 600 per month plus 3% commission on sales. the executive's goal is to earn $2400 this month. how much must she sell to achieve this goal?

Answers

Answer:

$60,000

Step-by-step explanation:

Given :

Monthly earning = $600

Commission = 3%

Month's goal = $2400

Let total sales for the month = x

Hence,

Monthly earning + (commission * total sales) = monthly goal

600 + (0.03 * x) = 2400

600 + 0.03x = 2400

0.03x = 2400 - 600

0.03x = 1800

x = 1800 / 0.03

x = $60,000

Someone help me quick​

Answers

Answer: x > - 18

Step-by-step explanation:

x>-18




first multiply both sides

then multiply reduce

then arrange and thats the answer

hope this helps <3

Find the value of x Please be serious

Answers

Answer:

Step-by-step explanation:

∠SRT = 180-(11x+3) = 177-11x

∠TSR + ∠SRT = 180-85 = 95

(5x-10) + (177-11x) = 95

-6x+167 = 95

72 = 6x

x = 12

I need help with this

Answers

Gradient is 1/4 or 0.25

Answer:

1/4

Step-by-step explanation:

As 4 units move to the right, 1 unit goes up. Using the formula for slope:

Rise / Run

The gradient of the blue line is 1/4 or 0.25

determine the scale factor of the dilation, if OA = 8 and OA' = 32

Answers

Answer:

The scale factor is 4

Step-by-step explanation:

32(end product) divided by 8(original) = 4

Answer:

scale factor = 4

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{OA'}{OA}[/tex] = [tex]\frac{32}{8}[/tex] = 4

The table shows the temperature (y) at different altitudes (x), This is a linear relation ship. Use the equation y= -0.004x+69 to determine the temperature at an altitude of 5,000 feet.

Answers

Answer:

49

Step-by-step explanation:

i just did it

How are the signs of the coordinates of A and F related?

Answers

Answer:

1. A rotate 180° counterclockwise    (x,y) --> (-x,-y)  or

2. A reflect about the origin (0,0)     (x,y) --> (-x,-y)

Step-by-step explanation:

A ( -2 , 4)      F (2 , -4)

2 ways:

1. A rotate 180° counterclockwise    (x,y) --> (-x,-y)  or

2. A reflect about the origin (0,0)     (x,y) --> (-x,-y)

Wish this is right...

Answer:

The coordinates of point A are (-2, 4), and the coordinates of point F are (2, -4).The x-coordinates, -2 and 2, are opposites, and the y-coordinates, 4 and -4, are opposites.

Step-by-step explanation:

!!edmentum answer!!

Find the volume of the specified cone. Use 3.14 for pi, and round your answer to the nearest whole number.
Diameter = 5 cm, height = 9 cm
A. 59 cu. cm
B. 25 cu. cm
C. 38 cu. cm
D. 19 cu. cm

Answers

The formula for the volume of a cone is 1/3 pi r^2 h
So for this equation...
(1/3)(3.14)(2.5^2)(9) = 58.875
So the answer would be A. 59 cu. cm

Remember that radius is equal to half of the diameter :)

Answer:

A) 59 cu. cm

Step-by-step explanation:

diameter =  5cm

Radius = 5/2 = 2.5 cm

Volume of cone = [tex]\frac{1}{3}*\pi *r^{2} h[/tex]

                         [tex]=\frac{1}{3} * 3.14 * 2.5 *2.5 * 9\\\\= 3.14 * 2.5 * 2.5 * 3\\\\= 58.875\\[/tex]

                         = 59 cu cm

sally collected 15 seashells, but 1/3 were broken. how many shells were broken?

Answers

I have the same question and I have no idea sorry

Answer:

5 shells were broken.

Step-by-step explanation:

To find how many shells were broken, we must multiply the amount broken to the total to find the number of shells broken.

1/3 * 15=5

Pls help with this.

Answers

the answer is 39 !!because 7 times 5 is 35 + 4 is 39

Which expression is equivalent to 6( 3x + 4)?

Answers

Answer:

18x + 24 or c

Step-by-step explanation:

1 8 + 2 4

this is the answer  


Could some one help me plz

Answers

X=2.5
Because y ok get 5x-8 for the triangle and x+2 for the square set them up to 5x-8=x+2 and you solve yo get 4x=10 and once you divide you get 2.5

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.
10
8

Answers

Answer: 10^2+ 8^2
= 100+64
=164

Laura took out a loan of $25,000 for a term of 60 months ( 5years) at an interest rate 7.5% use th amortization table provided to complete the statement

Answers

Answer:

Laura's monthly payment will be $501, and her total finance charge over the course of the loan will be $5,060.

Step-by-step explanation:

Given that in a 5-year loan with an annual interest of 7.5%, the monthly payments for every $ 1,000 are $ 20.04, taking into account that Laura took a loan of $ 25,000, to determine the monthly payments and the total interest to be paid, they must be made the following calculations:

20.04 x 25 = X

501 = X

Thus, the monthly payments that Laura will have to make will be $ 501.

(501 x 12 x 5) - 25,000 = X

30,060 - 25,000 = X

5,060 = X

In turn, the total finance charge will be $ 5,060.

175 plus what equals 405

Answers

Answer:

i hope this answers your question!

Step-by-step explanation:

175+x=405

Step 1: Simplify both sides of the equation.

x+175=405

Step 2: Subtract 175 from both sides.

x+175−175=405−175

x=230

The number that, when added to 175, equals 405 is 230.

To find the number that, when added to 175, equals 405, we can subtract 175 from 405. This will give us the missing number.

405 - 175 = 230

Therefore, 175 plus 230 equals 405.

To explain this process further, we can think of subtraction as the inverse operation of addition. By subtracting the known quantity (175) from the total (405), we are left with the missing quantity (230).

In other words, if we start with 175 and add 230 to it, we will end up with the desired sum of 405. This demonstrates the relationship between addition and subtraction and allows us to determine the missing number needed to reach the target sum.

To learn more about the addition;

brainly.com/question/29464370

#SPJ6

A survey found that 6 out of 8 students own a pet. If there are 320 students in a school, what is a reasonable prediction for the number of students who own a pet?

Answers

Answer: 240 students

Explanation:

320 ÷ 8 = 40 (40 groups of 8)

40 x 6 = 240

Answer:

Reasonable prediction = 240 students

Step-by-step explanation:

Given that:

6 out of every 8 students own a pet.

Ratio = 6 : 8

Number of students surveyed = 320

Predicted number of students who own pets = x

Ratio = x : 320

As the relationship is proportional;

6 : 8 :: x : 320

Product of mean = Product of extreme

8x = 320 * 6

8x = 1920

Dividing both sides by 8

[tex]\frac{8x}{8}=\frac{1920}{8}\\x=240[/tex]

Hence,

Reasonable prediction = 240 students

Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is
correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number that survive to adulthood.
What is the probability that more than 4 elk in the sample to survive to adulthood?
O 0.6294
O 0.2304
0.8598
0.1402
O 0.3706

Answers

Answer:

0.1402

Step-by-step explanation:

For each baby elk, there are only two possible outcomes. Either they survive adulthood, or they do not survive. The probability of an elk surviving adulthood is independent of other elks. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood.

This means that [tex]p = 0.44[/tex]

Suppose researchers choose 7 baby elk at random to monitor.

This means that [tex]n = 7[/tex]

What is the probability that more than 4 elk in the sample to survive to adulthood?

This is:

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{7,5}.(0.44)^{5}.(0.56)^{2} = 0.1086[/tex]

[tex]P(X = 6) = C_{7,6}.(0.44)^{6}.(0.56)^{1} = 0.0284[/tex]

[tex]P(X = 7) = C_{7,7}.(0.44)^{7}.(0.56)^{0} = 0.0032[/tex]

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1086 + 0.0284 + 0.0032 = 0.1402[/tex]

0.1402 probability that more than 4 elk in the sample to survive to adulthood.

Using the concept of binomial probability, the probability that more than 4 survive is 0.1402

Using the binomial probability formula :

[tex] P(x = x) = nCx \times p^{x} \times q^{(n-x)} [/tex]

p = probability of success = 0.44q = 1 - p = 1 - 0.44 = 0.56 n = number of trials = 7

The probability that more than 4 survive can be defined thus :

[tex] P(x > 4) = p(x = 5) + p(x = 6) + p(x = 7) [/tex]

Using a binomial probability calculator :

[tex] P(x > 4) = 0.1086 + 0.0284 + 0.0032 [/tex]

[tex] P(x > 4) = 0.1402 [/tex]

Hence, the probability that more than 4 survive is 0.1402

Learn more : https://brainly.com/question/15929089

Using properties of parallelograms, RSTU is a parallelogram that has vertices R (-3,1), S (3,4), and T( 6,2(. What are the coordinates of point U.

Answers

Answer:

(0, -1)

Step-by-step explanation:

A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.

Hence for parallelogram RSTU, RS // TU and RU // ST

Let the coordinate of U be (x , y). Two lines are parallel to each other if their slopes are equal, hence:

Slope of RS = (4 - 1) /[3 - (-3)] = 3/6 = 0.5

Slope of ST = (2 - 4) /[6 - 3] = -2/3

Slope of RU = (y - 1) /[x - (-3)] = (y - 1) / (x + 3)

Slope of TU = (y - 2) /[x - 6]

Slope of RU = Slope of ST

(y - 1) / (x + 3) = -2/3

3y - 3 = -2x -6

2x + 3y = -6 + 3

2x + 3y = -3                  (1)

Slope of RS = Slope of TU

0.5 = (y - 2) /[x - 6]

0.5x - 3 = y  - 2

0.5x - y = 1                  (2)

Solving 1 and 2 simultaneously gives:

x = 0, y = -1

Therefore the coordinates of U = (0, -1)

I really need help on this if you can show me how you got the answers as well thank you

Answers

Answer:

You included the zero from right side of decimal point, which you shouldn't have.

Answer:

You take the percentage times the total of money you have.

Housing is the cost of $465.75 ( 27%x $1725)

Food is the cost of $345 (20%x$1725)

Clothes is the cost of $155.25 (9%x$1725)

Gifts is the cost of $120.75 (7%x$1725)

Transportation is the cost of $224.25 (13%x$1725)

Entertainment is the cost of $86.25 (5%x$1725)

Miscellaneous is the cost of $51.75 (3%x1725)

Insurance is the cost of $86.25 (5%x%1725)

Health is the cost of $51.75 (3%x$1725)

Savings is the cost of $138 (8%x$1725)

Im so so sorry of this is wrong!!

I hope it helps if it is right!!

Find the value of X URGENT!

Answers

Answer:

x=13

Step-by-step explanation:

45=3x+6

3x=39

x=13

Re-write the expression
as a product with the
greatest common factor.
(54 +99)

Answers

Find the prime factorization of 54
54 = 2 × 3 × 3 × 3
Find the prime factorization of 99
99 = 3 × 3 × 11
To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 3 × 3
GCF = 9


There are two x intercepts for y = (x + 2)(x - 1)
The first is
and the 2nd is

Answers

Answer:

(-2,0) and (1,0)

Hope this helps!

382 3/10- 191 87/100

Answers

Answer: 382 3/10- 191 87/100= 190 43/100

Simple math hope it helps u

Step-by-step explanation:

NOT GRADED.
FIND THE MEASURE OF THE INDICATED ANGLE IN EACH TRIANGLE.​

Answers

Answer:

The angle in the box is always 50 and that other acute angle is 46

Hope this helps

Step-by-step explanation:

Answer:

m∠B = 44°

Step-by-step explanation:

∑ of all angles in a triangle = 180°.

Note that m∠C = 90° (based on the definition of a right angle).

Note that m∠A = 46° (given).

Set the equation:

Total (180) = 90 + 46 + m∠B

Isolate the term, m∠B. First, simplify. Combine like terms:

180 = (90 + 46) + m∠B

m∠B + (136) = 180

Next, note the equal sign, what you do to one side, you do to the other. Subtract 136 from both sides:

m∠B + 136 (-136) = 180 (-136)

m∠B = 180 - 136

m∠B = 44°

44° is the measurement of the indicated angle B.

~

Please find X............

Answers

Answer:

[tex]x=45.57^{\circ}[/tex]

Step-by-step explanation:

Given that,

Hypotenuse, H = 10

Base = 7

We need to find the value angle x. The relation between Hypotenuse, Base and the angle x is given by :

[tex]\cos\theta=\dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\cos\theta=\dfrac{7}{10}\\\\\theta=\cos^{-1}(\dfrac{7}{10})\\\\\theta=45.57^{\circ}[/tex]

So, the value of x is [tex]45.57^{\circ}[/tex].

Please help me. I'm only in like 4th grade and I have no idea what to do.

Answers

Answer:

it false

Step-by-step explanation:

trust me

Answer:

your answer is True. for a explanation look under this.

Step-by-step explanation:

Hello let's work out this problem together

lets split this in half so 112/8 plus x and 15 + 4x -7

let's start off with part one 112/8 = 14 plus 2 is 16.

now part 2

15 + 4 times 2 -7

15 plus 8 -7

15 plus 1 = 16

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