Quadrilateral ABCD is dilated at center (0, 0) with scale factor to form quadrilateral 1/2; A^ prime B^ prime C^ prime D^ prime . What is the length of overline A^ prime B^ prime ?

Answers

Answer 1

The length with scale factor to form quadrilateral 1/2, A'B' is √5 units when AB is √20.

What is distance formula?

The formula to find the distance between the two points is usually given by

d=√((x2 – x1)² + (y2 – y1)²).

Given :

Quadrilateral ABCD is dilated at the center (0,0) with a scale factor of 1/2 to form quadrilateral A'B'C'D'.

Points - A(0,4), B(4,2), C(4,-4), and D(-2,-2).

So, the points of the quadrilateral ABCD becomes:

A' (0, 2)B' (2, 1)C'( 2, -2)D'(-1 , -1)

So,  length of A'B'

AB = √(4-0) ² +(2 -4)²

AB = √16 + 4

AB = √20

AB = 2√5

A'B' = 1/2 AB

A'B' = √5

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Related Questions

Bonjour,
Quelqu'un pourrait m’aider svp.

Answers

a-/ |-5-10| = 15 ; |-2√2-√12|=2√3+√12 ; |-π-4π|=5π

to determine her blood sugar level​, charlotte divides up her day into three​ parts: morning,​ afternoon, and evening. she then measures her blood sugar level at 3 randomly selected times during each part of the day.

Answers

According to the given statement this is a type of stratified sampling.

What is a Stratified random sampling?

Stratified random sampling is often when researchers want to know about different subgroups or based on the entire population being studied. For instance, if one is interested in differences between groups based on race, gender, or gender.

Briefing:

she measures her blood sugar level at 3 randomly selected times during each part of the day.

Stratified is defined as taking samples from a group that has been partitioned or divided into multiple pieces.The lady has organized her day into three sections here: morning, afternoon, and evening.This is a method for randomly selecting a sample from a population. therefore, charlotte took 3 random sample from each part of the day.

So,

This is a type of stratified sampling.

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I understand that the question you are looking for is :

To determine her blood sugar level, charlotte divides up her day into three parts: morning, afternoon, and evening. She then measures her blood sugar level at 3 randomly selected times during each part of the day.

What type of sampling is used?

What is the value of the function f(x) = 8x when x = 0.25?
f(x) =

Answers

Answer:

f(x) = 2

Step-by-step explanation:

What is the value of the function f(x) = 8x when x = 0.25?

substitute in 0.25 for x to get:

f(x) = 8(0.25)

f(x) = 2

the shorter leg of a right triangle is 8 less than the hypotenuse. the longer leg is one less than the hypotenuse. find the perimeter

Answers

The perimeter of the right triangle is 30 units.

How to find the perimeter of a right triangle?

The shorter leg of the right triangle is 8 less than the hypotenuse. The longer leg is one less than the hypotenuse.

Let's break the information into smaller chunk.

The shorter leg of a right triangle is 8 less than the hypotenuse.

The longer leg is one less than the hypotenuse.

The hypotenuse is the longest side of a right triangle.

Therefore,

let

the hypotenuse = x

short leg = x - 8

long leg = x - 1

Applying Pythagorean theorem in the given right triangle.

c² = a² + b²

where

c = hypotenusea and b are the other legs.

(x - 1)² + (x - 8)² = x²

(x - 1)(x - 1) + (x - 8)(x - 8) = x²

x² - x - x + 1 + x² - 8x - 8x + 64 = x²

2x² - 18x + 65 = x²

x² - 18x + 65 = 0

(x - 13)(x - 5) = 0

Therefore,

x = 5 and x = 13

13² - 5² = a²

169 - 25 = a²

a = √144

a = 12

So, the hypotenuse is 13, the shorter leg is 5 and the longer leg is 12.

perimeter of the right triangle = 13 + 5 + 12 = 30

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14a - (2a +9)=2/3 (12a-18)​

Answers

Answer: a=-0.75

Step-by-step explanation:

14a - (2a +9)=2/3 (12a-18)​

14a - 2a -9=2/3 * 6(2a-3)​

12a-9=2*6/3 (2a-3)​

12a-9=2*2(2a-3)​

12a-9=4(2a-3)​

12a-9=8a-12

4a-9=-12

4a=-3

a=-3/4

a=-0.75

Check the image below for working
Hope this helped :)

Translate abc with coordinates a(3,4) b(7,7) c( 8,1) 6 units left 7 units down

Answers

Answers:

A ' = (-3, -3)

B ' = (1, 0)

C ' = (2, -6)

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

Explanation:

To translate 6 units to the left, we subtract 6 from each x coordinate.

For point A, we have x = 3 become 3-6 = -3 as the new x coordinate.

Point A also goes down 7 units, in which we subtract 7 from the y coordinate. So the y coordinate of point A, which is 4, becomes 4-7 = -3 as the new y coordinate.

This is how we can write out the work shown for moving point A

[tex](\text{x},\text{y})\to(\text{x}-6,\text{y}-7)\\\\(3,4)\to(3-6,4-7)\\\\(3,4)\to(-3,-3)[/tex]

Point A is at (3,4) and moves to A ' which is at (-3, -3)

Do similar steps for points B and C to get the answers shown above.

I need help thank you

Answers

Answer:

3

Step-by-step explanation:

[tex]\sqrt[3]{27}[/tex]

= [tex]\sqrt[3]{3^3}[/tex]

= 3

How many fish caught in this study had lengths between 45 cm and 90 cm

Answers

Answer:

number of fish caught between 60 and 75 cm =40

Step-by-step explanation:

find f(-2)
i need help

Answers

Answer:

f(-2) = -1

Step-by-step explanation:

wwwwwwwwwwww

Answer: f(-2) = 5

Step-by-step explanation: In this piecewise function, when x is less than -1, the equation is -3x-1. -2 is less than -1 so we use the first equation. -3(-2)-1= 6-1 = 5.

Pls help I’m not very smart

Answers

Answer:

Blank 1: 97

Blank 2: 73

Step-by-step explanation:

This equation is shown on a straight line, which equals 180.

We can start by adding the two equations which together are equal to 180.

15x + 2 + 10x + 3 = 180

We can simplify it to 25x + 5 = 180

Now we can subtract 5 from both sides to get

25x = 175

Then we can divide both sides by 25 to get x = 7

Now we can plug in x for both angles

Angle RQS is 15x + 2, so 15*7=95 and the +2 is 97.

Angle TQS is 10x + 3 so 10*7=79 and the + 3 is 73

:D

Gavin is selling water bottles at a baseball game to help raise money for new uniforms. Before the game, he buys 48 water bottles for a total of $18.50. At the game, he sells all of the bottles for $1.25 each. How much profit does Gavin make?
$

Answers

Answer:  $41.50  41 dollars and 50 cents in profit

Step-by-step explanation:

First, 1.25x48=60

Second, 60-18.50=41.50

Answer:

$41.50

Step-by-step explanation:

So we know that Gavin bought 48 water bottles before the game for $18.50. We also know that he sold the water bottles for $1.25 each.

If we want to know how much profit he made, we first have to find the amount of money he received.

To find this, we need to multiply the number of water bottles by the price for each bottle;

48 × $1.25

This gives us a total of $60.

Now to find the profit, we have to subtract the amount he paid for the water bottles by the total he made;

$60 - $18.50

This means he made a profit of $41.50.

hope this makes sense! <3

A pool measuring 18 meters by 20 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the
path combined is 1520 square meters, what is the width of the path?
18
20
20+ 2x
18+2x

Answers

By solving a quadratic equation we can see that the width of the path measures 20 meters.

How to find the width of the path?

We know that the pool measures 18 meters by 20 meters, then the area of the pool alone is:

A = 18m*20m = 360 m^2

Now, if the path has a width x, then the rectangle that includes the path and the pool has dimensions:

(18m + 2x) and (20m + 2x)

And its area is given by:

(18m + 2x)*(20m + 2x)

And we know it is equal to 1520 m^2, then (i'm not writting the units in the computation):

(18 + 2x)*(20 + 2x) = 1520

360 + 4x^2 + 76x = 1520

Now we just need to solve that quadratic equation:

4x^2 + 76x - 1520 + 360 = 0

4x^2 + 76x - 1160 = 0

The solutions are:

x = (-76 ± √(76^2 - 4*4*(-1160))/(2*4)

x = (-76 ± 156)/4

We only care for the positive solution, which gives:

x = (-76 + 156)/4 = 20

We conclude that the width of the path measures 20 meters.

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your friend says that you can write any equation in slope-intercept form. is your friend correct? explain.

Answers

Answer:

almost.

Step-by-step explanation:

You can write almost every linear equation in slope-intercept form.

Slope-intercept form is:

y = mx + b

So every line except a vertical line can be written in the form y=mx+b.

This form cannot be used when m is undefined.

3. Select all the equations that match the diagram.
X+5\x+5\x+5
a.
x+5=18
b. 18÷3=x+5
C. 3(x+5)= 18
d. x+5=-18
e. 3x+5= 18

Answers

The equations that match the diagram are 18 ÷ 3 = x + 5 and 3(x + 5) = 18

How to select all the equations that match the diagram?

The given parameters are

Expression = x+5\x+5\x+5

Value = 18

The above means that

Expression = Value

So, we have

x + 5 + x + 5 + x + 5 = 18

Evaluate the sum

So, we have

3x + 15 = 18

Factor out 3

So, we have

3(x + 5) = 18

Divide both sides by 3

So, we have

x + 5 = 18 ÷ 3

Hence, the equations that match the diagram are 18 ÷ 3 = x + 5 and 3(x + 5) = 18

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Darius designed a billboard. The
billboard is 480 inches long by 144
inches high. Darius uses a
computer to design the billboard.
Determine the height for the
computer design that maintains
the same scale and has a length of
12 inches.

Answers

We know that both figures are similar, as they are proportionate to each other. In other words, similar figures keep their shape because their angles are still congruent, but their dimensions are proportional. When dealing with similar figures, the constant “k” is used, which k is the constant of proportionality. So, k=scale factor.

To start, because the figures are proportional, we need to setup some proportions:

480/12=144/x

We do this to divide the length of the original figure by 12, and we set them equal because their quotient should remain constant or the same. Now, we use the cross product property to solve:

480•x=144•12

480x=1728

x=3.6

Therefore, substitute x back into the proportional equation:

480/12=144/3.6

40=40

So, the height is 3.6in. This means the new figure is 1/40 of the original.

The circumference is 25 ft I have to find what X is for my radius
R= -4x-5

Answers

The value of x based on the information given about the circumference is 2.24.

How to illustrate the information?

It should be noted that the circumference is calculated as:

= 2πr

where

π = 3.142

r = radius = 4x - 5.

Circumference = 25

Therefore, circumference = 2πr.

(2 × 3.142)(4x - 5) = 25

6.284(4x - 5) = 25.

25.136x - 31.42 = 25

Collect like terms

25.136x = 25 + 31.42

25.136x = 56.42

x = 56.42 / 25.136

x = 2.24

Therefore, the value of x based on the information given about the circumference is 2.24.

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A print shop borrows $5700 from a credit union for 193 days. The credit union charges simple interest at an annual rate of 12% for this loan. Assume 1/365 each day is
of a year. Answer each part below.

Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas.

Answers

The amount borrowed by the print shop: $5700

Time for which loan is taken: 193 days

Rate of interest: 12%

Day in terms of year is given by: 1/365

The formula for simple interest:

Simple interest = P*R*T/100

where P = principal amount invested

R = rate of interest

T = time in years

Solving the question using the formula we have:

Simple interest = (5700*12*193)/(100*365)

= 13201200/36500

= 361.67 or $362

Interest that will be owed after 193 days will be $362

Amount owed after 193 days will be $5700 + $362 = $6062

Although a part of your question is missing, you might refer to this full question: A print shop borrows $5700 from a credit union for 193 days. The credit union charges simple interest at an annual rate of 12% for this loan. Assume 1/365 each day of a year. Find the interest that will be owed after 193 days. If no payments are made on the loan find the amount owed after 193 days.

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20 +? =100 ÷ 4
Help

Answers

Answer:

5

Step-by-step explanation:

Both answers equal 25.

The sum of 5 and c is greater than or equal to - 28.

Answers

Answer:

C is greater than or equal to -23

Step-by-step explanation:

- 28 + 5 = -23

Find x. (Hint: Draw an auxiliary line.)

Answers

The angle x will be 98 ⁰  

What are alternate interior angle ?

An alternate interior angle is one formed on the inside side of two parallel lines and opposite on the outer side of the transversal when those two parallel lines are intersected by a transversal and they are equal.

Alternate angles between a transverse and parallel lines are equal .

Let the lines are AB and CD and let us draw a transverse line HI parallel to AB and CD, then the angle FEI will be 62 degree as alternate interior angle are equal. and also angle EPC will be supplementary angle of 144 degree that is 36 degree thus forming angle GEI to be 36 degree also as shown in figure below :

Now calculating angle x :

x = 62+ 36

x = 98 ⁰

Therefore, the angle x will be 98 ⁰  

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( 2x+7) - (2x - 4) please help me with this answer because it is in big ideas math

Answers

Answer:

  11

Step-by-step explanation:

You want to simplify (2x+7) - (2x - 4).

Distributive property

The distributive property tells you the factor outside parentheses applies to every term inside parentheses. It is used for the purpose of removing parentheses.

  (2x+7) - (2x - 4) = 2x +7 -(2x) -(-4) = 2x +7 -2x +4

Like terms

Terms that have the same variable (or product of variables) are "like terms." Their coefficients can be combined. (This is another use of the distributive property.)

  2x +7 -2x +4 = 2x -2x +7 +4 = (2 -2)x +(7 +4) = 0x +11

  = 11 . . . . simplified form of the given expression

Can yall help me with this

Answers

Answer:

8 feet

Step-by-step explanation:

Since it is 2 inches and 1 inch is equal to 4 feet, you just multiply 2 inches by 4 feet which will give you 8 feet.

Hope that helps

ar travels on a straight, level road. (a) Starting from rest, the car is going 38 ft/s (26 mi/h) at the end of 4.5 s. What is the car's average acceleration in ft/s²?​

Answers

The car's average acceleration is 8.44 ft/s².

Acceleration is defined as the rate of change of velocity per unit time. It is usually denoted by the letter a.

Here, we are given that a car travels on a straight road. Starting from rest, the car is going at 38 ft/s (26 mi/h) at the end of 4.5 s.

Acceleration of an object can be calculated using the given formula-

acceleration = velocity/ time

Here, the velocity of the car will be 38 ft/s

and the time is equal to 4.5 seconds.

Thus, putting these formulas in the equation, we get-

acceleration of the car = 38/ 4.5

= 380/ 45

= 8.44

Thus, the car's average acceleration is 8.44 ft/s².

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HEY I NEED HELP ASAP CAN YOU HELP? WILL GIVE BRAINLYIST
show your work or explain your reasoning in mathematical terms. Be specific. Draw a picture if you need to.

Question:
Abdul wants to put a rug in a square room that has an area of 775 square feet. He wants to leave a 3-foot border of bare floor on each side. What are the dimensions of the rug rounded to the nearest hundredth?

Answers

The dimensions of the rug which Abdul would use in discuss as described in the task content are; 21.84 ft by 21.84 ft.

What are the dimensions of the rug rounded to the nearest hundredth?

It follows from the task content that the dimensions of the rug which Abdul would use in the room in discuss are to be determined.

Since the room Abdul wants to put a rug on is; 775 ft² and the room is a square room.

It follows that all sides of the room are equal and the length of each side can be determined as;

s = √Area; since Area = s².

s = √775

s = 27.839 ft.

Hence, the dimensions of the room is; 27.839 ft by 27.839 ft.

However, since he wants to leave a 3-foot border of bare floor on each side, it follows that the dimensions of the rug on each axis would be;

= 27.839 - 3 -3 = 21.839 ft on all sides.

Consequently, the dimensions of the rug rounded to the nearest hundredth are; 21.84 ft by 21.84 ft.

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A triangle has two sides of lengths 4 and 7. What value could the length of
the third side be? Check all that apply.
A. 9
B. 5
C. 17
D. 7
E. 3
F.' 11
SULMIT

Answers

A=9, B=5 and D=7 are the correct options.

In the *Geometry*, a *triangle* is a closed 2-dimensional figure with 3 angles, 3 sides and 3 vertices. Triangles are considered as a *polygon* with the least number of sides.

a,b and c are the sides of a triangle if it satisfies:

a<b+c  , b<a+c and c<b+a

Here, a=4 and b=7

We have to find c

i.e. all those c which satisfies:

4<7+c , 7<4+c and c<4+7=11

AAAAAA. 9 it is true

B.5   it is true

C.17   This is clearly false, since it doesn't satisfies inequality third.

D.7   it is true

EE. 3  it is not true since it doesn't satisfies second inequality.

F.11 This is clearly false, since it doesn't satisfies inequality third

Hence, The correct answer of the given question is A,B and D.

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There is quite literally not one moment where I was taught this that I remember answer correctly for 69 points. Answer choices are 15, 20, 23, 25, and 18.

Answers

It should be noted that based on the information given, the square root of 225 will be A. 15.

What is the square root?

It should be noted that a number y such that y² = x, or a number y whose square is x, is referred to as the square root of a number x in mathematics. For instance, since 4² = 16, 4 and -4 are the square roots of 16.

It should be noted that in this case, the square root of 225 will be:

= ✓225

= 15

Therefore, it should be noted that based on the information given, the square root of 225 will be 15.

In conclusion, based on the information, the correct option is A.

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Use the below diagram to find the area of the shaded region if the radius of the circle is 92 inches and the measure of angle ABC is 7pi/15

Answers

The area of the shaded region of the circle is 10.972 square inches.

What is the Area of the Sector?

The formula for area of a circle sector is;

A = (θ/360) * πr²

We are given;

Radius of circle = 92 inches

Central angle = 7π/15

Thus;

Area of given sector = (7π/15)/360 * π * 92²

Area of given sector = 7π/15 * 1/360 * π * 92²

Area of given sector = 10.972 square inches

Thus, we can conclude that the area of the shaded region of the circle is 10.972 square inches.

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Get 15 points and 1 Thanks if ur answer is correct.

Answers

Answer:

1 3/4

Step-by-step explanation:

OK but what if brainliest instead

Answer:1 3/4

Step-by-step explanati

What is the answer to this problem ?

Answers

Answer:

191+192

Step-by-step explanation:

Which mapping represents a rotation of 270 degrees clockwise about the origin?

Answers

The mapping representing a rotation of 270 degree clockwise about the origin is (x, y) -----> (-y, x)

We use the rotation of 90 degree to find the mapping of 270 degrees.

The rotation of 270 degree clockwise is same as the anticlockwise rotation of 90 degrees about the origin.

So the mapping of 270 degree clockwise rotation is exactly the mapping of 90 degree anti clockwise rotation.

Now the mapping of 90 degree anti clockwise rotation is  (x, y) -----> (-y, x).

So the mapping representing a rotation of 270 degree clockwise about the origin is (x, y) -----> (-y, x)

This implies that a point (x, y) on the co-ordinate plane becomes (-y, x) after a clockwise 270 degree rotation.

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What's the definition of anthropocentric? In this temple as in the hearts of the people for whom he saved the union the memory of Abraham Lincoln is enshrined forever HELP...........................! ! A grocery store sells four different jars of peanut butter. Determine which is the best buy, based on the cost per unit.16 ounces for $1.70 20 ounces for $1.9026 ounces for $3.33 40 ounces for $ Find the average rate of change of which mechanism would be least likely to inactivate a tumor-suppressor gene? group of answer choices mutation deletion gene duplication loss of heterozygosity chemical modification What does pin stand for? a. principal investment number b. permission initiating number c. percent increase number d. personal identification number please select the best answer from the choices provided a b c d Question 8 of 10The economy of the southern colonies was based on:O A. agriculture.OB. mining and logging.O C. manufacturing.OD. trade and commerce. express x^pi in base e 8. The answer choices below list the different types of autocracies except A. MonarchB. TheocracyC. DictatorshipD. Democracy I dont understand this i pick the right ones but it say im wrong can someone correct me?? You place the following shapes in a bag 5 circles 3 triangles 7 squares and 5 rectangles if you reach in the bag what is the probability you will grab a shape Joel, Ben, and Luke are each wearing a hat with a number on it. Each person adds the two numbers on the other two hats, giving totals of 11, 17, and 22. What is the largest number on a hat? The longest side of a triangle is a cm.The second side is bcm shorter than the first side.The third side is half as long as the second side.Write an expression, in its simplest form, for the perimeter ofthe triangle What element completes the 7s sub level? Last saturday 16 people worked the at the theater. four people worked the morning shift and 12 worked the evening shift. they earned a total of $1,080.00. what did they earn each? A mens traditional haircut at the Barbara spot cost $20 and a shave cost $25 there is an 8.25% state sales tax what is the total price that Cheyenne must pay if she gets his haircut and beard shaved and he tips the barber 25% 5. In the story "Two Kinds" by Amy Tan, June says sheis determined to put a stop to her mother's "foolishpride" (Paragraph 48). In what ways do both Juneand her mother demonstrate "foolish pride"throughout the text?Make sure your response is strong by: clearly answering the prompt.including and explaining at least two pieces ofrelevant evidence.using transitions to connect ideas. Un granjero coloco una cerca al rededor de su parcela. La parcela mide 10 m de cada lado ya que es un cuadrado. Si puso los postes cada 3/4 de metro cuantos postres coloco? fitz company reports the following information. selected annual income statement data selected year-end balance sheet data net income $ 418,000 accounts receivable decrease $ 103,900 depreciation expense 45,600 inventory decrease 45,000 amortization expense 8,200 prepaid expenses increase 6,700 gain on sale of plant assets 6,600 accounts payable decrease 8,600 salaries payable increase 1,200 use the indirect method to prepare the operating activities section of its statement of cash flows for the year ended december 31. (amounts to be deducted should be indicated with a minus sign.)