Quadrilateral P'Q'R'S' is a dilation of the quadrilateral PQRS, with the origin as the center of dilation.
What is the rule used to create this dilation?
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step by step solution: life
The dilation scale factor of the quadrilateral is k = 1/2
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.
Given data ,
Let the scale factor of the dilation be represented as k
Now , the coordinates of the quadrilateral PQRS is
P ( -2 , 5 )
Now , the coordinates of the quadrilateral P'Q'R'S' is
P' ( -1 , 2.5 )
So , the dilation factor k is given by
k = -1 / -2
k = 1/2
Hence , the dilation is k = 1/2
To learn more about dilation click :
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Related Questions
The measures of the angles of a triangle are shown in the figure below. Find the measure of the smallest angle.
(2x+18)°
55°
(4x+11)°
Answers
Answer:
(2x+18) degrees
Step-by-step explanation:
A triangle is a total of 180 degrees, so you would do:
(2x+18)+55+(4x+11)=180
(2x+4x)+(18+55+11)=180 <- take out parentheses and add like terms
6x+84=180 <- subtract 84 from both sides of the equation
6x=96 <- divide 6 from each side
x=16
Now that you know what x is you would plug it into each of the angles
Angle 1: 2x+18 --> 2(16)+18= 32+18= 50
Angle 2: 55
Angle 3: 4x+11 --> 4(16)+18= 64+18= 82
Then out of these three angles of the triangle, angle 1 (2x+18) would be the smallest.
hey y’all i just need help with the shading part please help! if you can do this on a piece of paper or show how do it, i’ll give you a brainlest and bonus points thank you.
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CAN SOMEONE HELP ME PLEASE!!!!
Answers
Answer:26
Step-by-step explanation:
Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?
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I hope this helps you !
Answer:
f(p) = 6p + 50
Step-by-step explanation:
f(p) = 6p + 50
where f(p) is the total money for the laptop ($335) and p is the monthly payment.
If you wanted to plug in the total cost of the laptop the equation would be 335 = 6p + 50.
Which of the following statements is TRUE about finding the area of a polygon?
A) You can use a coordinate plane to find the area of a polygon only if it is a triangle, rectangle, or square.
B) You can find the area of a polygon by dividing it into triangle and rectangle sub-parts and then calculating the area for only one of those sub-parts.
C) You can only find the area of a polygon if it is a triangle, rectangle, or square.
D) You can find the area of a polygon by dividing it into triangle and rectangle sub-parts, finding the area of the sub-parts, and then calculating the sum of the areas.
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Answer:
The answer is b
Step-by-step explanation:
match the two step inequality to the correct graph.
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Answer:
Hello,
I think -2p < - 10 goes with graph one
Then -M = 8 > 6 goes to Graph Two
Next 13 > 4r + 5 goes to Graph three
Last but not least -7 - Z < -1 goes to Graph Four
If I am Wrong i am sorry
Step-by-step explanation:
plz help me what do i put in the yellow box
Answers
Answer:
$1.77
Step-by-step explanation:
10-(5.25+2.98)
=10-8.23
=1.77
Hope this helps :)
Answer:
$1.77
Step-by-step explanation:
First-person to get the answer correct with an explanation gets Brainliest
Answers
Answer:B A D C
Step-by-step explanation:
Since diameter is double radius you can half that to get radius B is the smallest since it's radius is 3. then we have A because it is 4 then D since its double B that gives us 6 then finally you have C.
can someone help me on this please
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Hope this helps
The distance between City A and City B is 500 miles. A length of 1.2 feet represents this distance on a certain wall map. City C and City D are 1.68 feet apart on this map. What is the actual distance between City C and City D?
Answers
Answer:
i just need points to be able to get more answers.
Step-by-step explanation:
WILL MARK BRANLIEST
equation 9(2j + 5j).
translate the new algebraic expression you created in Question 1 to a verbal expression.
Answers
Answer:
Try 9 x j(2 + 5)
Answer:
9/4t
Step-by-step explanation:
gooooooooooooooooood luck
3(x+4)= x-8-2x i need the steps
Answers
Answer:
3x+12=-x-8
4x+12=-8
4x=-20
x=-5
♡ The Question ♡
・3 (x + 4) = x - 8 - 2x
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
* ♡ The Answer ♡
・x = -5
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
・3 (x + 4) = x - 8 - 2x
3 (x + 4) = x - 2x - 8
3 (x + 4) = -x - 8
3 (x + 4): 3x + 12
Apply the distributive law! : a(b + c) = ab + ac
a = 3, b = x, c = 4
= 3x + 3 x 4
Multiply: 3 x 4 = 12
= 3x + 12
3x + 12 = -x - 8
Subtract 12 from both sides!
3x + 12 - 12 = -x - 8 - 12
Simplify!
3x = -x - 20
Add x to both sides!
3x + x = -x - 20 + x
Simplify!
4x/4 = -20/4
Simplify 4x/4 : x
Divide the numbers!
4/4 = 1 = x
Simplify!
-20/4 : -5
-20/4
Apply the fraction rule! : -a/b = -a/b
= -20/4
Divide the numbers!
20/4 = 5
= -5
x = -5
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
*♡ Tips ♡
・No tips provided!
Giving brainliest!
. Describe the allegorical characteristics that Scrooge and Bob Cratchit represent.
Its from the book A Christmas Carol If you know the book answer if not you can go bu pls help. Also this was a movie.
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Explanation: they almost give off a father figure through the plot and climax. The theme is deep it can be love or respect
A = (-1,2)
B= (4,2)
C=(-1,-3
What is the equation of the line through B and C?
A. y = x + 2
B. y = x - 2
C. y = -2x + 1
D. y = -x + 2
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Sketch the two equations on the graph given PLEASE HELP ASAP!!
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Answer:
One line crosses between -2 and -3
The second line extends past -5 to -3
I wasn't able to give a visual, but you can go to desmos, which is a graphing website and enter the equations there. It'll instantly give you the lines. Good luck
Step-by-step explanation:
Need help with math last question
Answers
You are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 7ft. The base of the incline plane is 16 ft from the shelving unit. What is the length of the incline plane?
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Answer:
You add all of them together then u find answer then you round the nearest tenth
Anya recorded the height in inches of 10 students in her class. The results are shown below.
{56, 60, 57, 61, 55, 59, 61, 64, 57, 60}
What is the mean absolute deviation of the data set?
A. 1.1
B. 2.2
C. 22
D. 59
Can someone give me a real answer please?
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You add up all the numbers and then divide by how many numbers are show if you didn’t know.
All the numbers equal 590.
590/10=59
Have a great day! Mi amor! ❤️
Help me please hurry and I’ll give you brainliest
Answers
Answer:
B
Step-by-step explanation:
There are 5 slots in the circle 100%/5 = 20%
There are 2 B’s and 2 A’s so each will equal 40% or 20%+20%
So 40%+40%= 80
SO C= 20%
A= 0.40
B=0.40
C=20
THEREFORE ANSWER IS B.
A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width.
How many inches of the width of the box is not taken up by the pencils?
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Answer:
2 5/8
Step-by-step explanation:
can you please help me someone, I been having a hard time with this problem ;--;
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what is the area of this trapezoid?
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
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Answer:
hope this helps have a great day :)
Step-by-step explanation:
4x4 = 16
9x9x9 = 729
9x9x9= 729 :)
PPPLLLLLZZZZ HELPP :( ILL GIVE U BRAINLIST!! AND A THANK YOU :)
Answers
Answer
Step-by-step explanation:
Mean= about 563.2
Median= 530
Mode=530
You would use the mean because it makes you look like your making more money than the others.
Hope this helps! :)
Answer:
i dont know just posting this so the other person gets brainlest
Step-by-step explanation:
Miku drinks ½ of a 6 ounce glass of water in ⅔ hour. How much water does she drink in an hour?
Answers
A circular running track is 1/2 a mile long. Elena runs on this track, completing each lap in 1/16 of an hour. What is Elena's running SPEED? Include the unit of measure.
doing this AGAIN because the answers i'm getting are either wrong or ignorant
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Step By Step: Divide 60 by 16
-3x + 33 = -12 i need all the steps
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Answer:
x=15
Step-by-step explanation:
-3x+33=-12
-3x=-12-33
-3x=-45
x=-45/-3
x=45/3
x=15
Please help me with these problems
Answers
Answer:
3. 9
4. 5 pounds
5. 5/12 of a pound
Step-by-step explanation:
3. "at least 3/8" means to include that column in the count.
4. 3(1/4) + 4(3/8 ) + 3(1/2) + 2(5/8)
= 3/4 + 12/8 + 3/2 + 10/8 but we need a common denominator. LMK in the comments if you need help with that
= 6/8 + 12/8 + 12/8 + 10/8
= 40/8
= 5 pounds.
5. For the average, we add up all the weights, then divide by the number of kittens. Thankfully, we just added everything up in #4. Since we're going to be dividing 5 by 12, we'll end up with a decimal. But since the whole problem was written in fractions, we'll keep it in fractions.
40/8 divided by 12 kittens
40/8 divided by 12 = 40/8 muliplied by the inverse of 12 which is 1/12
40/8 x 1/12
= 40/96
Our numerator and denominator can be evenly dived by 8, so the fraction is reduced to
= 5/12
I'm happy to answer any questions.
Before Nina bought groceries on April 22, she had a balance of $487.25 in her checking account. Nina wrote her transactions in her check register. She included all her transactions through the end of the day on April 23.
Based on the transactions in Nina’s check register, what is the balance in dollars and cents in her checking account at the end of the day on April 23?
Answers
Answer: 429.75
Step-by-step explanation: i did it before
PLEASE HELP WITH PART A AND B- PLEASE HAVE WORKKK I WILL MARK BRAINLIEST PLEASE HELP!
You are comparing the costs of a certain model of ladder at a hardware store and online. The sale information can be found below.
PART A: Calculate the final cost of the ladder at each of the stores. Include the proportion(s) or equations(s) you needed to reach your answer.
PART B: Suppose the hardware store decides to offer 10% off the cost of the ladder (but still keep the 6% tax) and the online store decides to offer free shipping and handling (but still keep the 6% tax). In this situation, which store offers the better final cost? Include the proportion(s) or equations(s) you needed to reach your answer.
Answers
Answer:
Part A:
Hardware Store = $371Online Store = $355.20Part B: The hardware store is cheaper.
Step-by-step explanation:
Part A:
At the hardware store, the ladder is 350 plus 6% tax. To solve this you would multiply 350 by 1.06 tax. Then you would get 371. Online, the ladder is 320 plus 6% tax and 5% shipping. To solve this you would multiply 320 by 1.11 (tax and shipping combined). Then you would get 355.20.
Part B:
To solve the cost of the ladder at the hardware store, you would need to first multiply 350 by 0.9 for the 10% discount. That would get you 315. Then add the 6% tax to get 333.90. To solve for the online ladder, you would need to multiply 320 by 1.06 (6%), and get an answer of 339.20. This means that the hardware store is cheaper.
Answer
Step-by-step explanation: How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25
We are given that;
Cost of ladder= $320
Sales tax of shipping and handling is 5% and 6%
Off on hardware= 10%
Now,
PART A:
At the online store, the ladder costs $320, and the sales tax is 6% of $320, which is:
$320 x 0.06 = $19.20
The shipping and handling is 5% of $320, which is:
$320 x 0.05 = $16
So the total cost of buying the ladder online is:
$320 + $19.20 + $16 = $355.20
At the physical store, the ladder costs $350, and the sales tax is 6% of $350, which is:
$350 x 0.06 = $21
So the total cost of buying the ladder at the physical store is:
$350 + $21 = $371
Therefore, buying the ladder online would be cheaper, with a total cost of $355.20.
PART B:
If the hardware store is offering 10% off the price of the ladder, the cost of the ladder would be:
$350 x 0.1 = $35 off
$350 - $35 = $315
So the total cost of buying the ladder at the physical store with the discount would be:
$315 + $18.90 (6% sales tax) = $333.90
If the online store is offering free shipping and handling, the total cost of buying the ladder online would be the same as the cost of the ladder:
$320 + $19.20 (6% sales tax) = $339.20