Polygon LMNPQR is shown on the coordinate grid and models the shape of a garden in a park,
Polygon LMNPQR will be dilated with the origin as the center of dilation to create polygon
L'M'N'P/Q'R'. The vertex Q' will be located at (21, 7).

Which rule best represents the dilation?

Polygon LMNPQR Is Shown On The Coordinate Grid And Models The Shape Of A Garden In A Park,Polygon LMNPQR

Answers

Answer 1

Dilation involves changing the size of the polygon

The best rule of dilation is [tex](x,y) \to \frac 72(x,y)[/tex]

How to determine the rule

The coordinates of vertices Q and Q' are given as;

Q = (6,2)

Q' = (21, 7)

The scale factor of dilation is then calculated as:

[tex]k = \frac {Q'}{Q}[/tex]

So, we have:

[tex]k = \frac {(21,7)}{(6,2)}[/tex]

Factorize

[tex]k = \frac {7/2(6,2)}{(6,2)}[/tex]

Divide

[tex]k = \frac {7}2[/tex]

So, the transformation rule is:

[tex](x,y) \to \frac 72(x,y)[/tex]

Hence, the best rule of dilation is [tex](x,y) \to \frac 72(x,y)[/tex]

Read more about dilation at:

https://brainly.com/question/3457976


Related Questions

Rex has to ride 3 miles on his bike. Each lap around his block is 1/8 mile. Rex wants to figure out how many laps he needs to ride his bike.

Answers

Answer:

24 miles

Step-by-step explanation:

If each lap is 1/8 of a mile, then we have to do 3x8 to get our answer.

8x3=24

So hence, Rex has to go 24 times around his block to ride his bike for 3 miles.

Thanks!

Please help!!!!!!!!!!

Answers

Answer:

Write two expressions (with at least two terms each) that when added together have a sum of -4 n + 6.

100 POINTS AND BRAINLIEST

A spinner with 8 equally sized slices has 8 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow slice?

Answers

Answer: 8/8

Step-by-step explanation:

It's eight yellow slices out of a total of eight slices. So it's impossible to get anything other than yellow.

Maria earned $60 from babysitting. She donated $6. How much money does Maria donate for every dollar that she earns?

Answers

Maria donates a dollar for every ten dollars she earns

Which statement is true about this equation? -9(x-3)+12=-3(2x+5)-3x

Answers

Answer:

Any value of "x" makes the equation true

Step-by-step explanation:

(-∞,∞)

All real numbers

i hope this work for you

In which quadrant of the coordinate plane would point (-10, 30 1/2) be located?

Answers

Answer:

Second

Step-by-step explanation:

A prism is completely filled with 64 cubes that have edge lengths of 1/2
In
What is the volume of the prism?
Enter your answer in the box.
in3

Answers

Answer:

9in³

Step-by-step explanation:

Hope this answers helps you

Does (5, 7) make the equation y = x true?

Answers

Answer:

x = y the answer is this...

How do you do basic algebra?

Answers

Step-by-step explanation:

Algebra is great fun - you get to solve puzzles!

A Puzzle

What is the missing number?

− 2 = 4

OK, the answer is 6, right? Because 6 − 2 = 4. Easy stuff.

Well, in Algebra we don't use blank boxes, we use a letter (usually an x or y, but any letter is fine). So we write:

x − 2 = 4

It is really that simple. The letter (in this case an x) just means "we don't know this yet", and is often called the unknown or the variable.

And when we solve it we write:

x = 6

7^x-3=49

can you please help asap thanks

Answers

Answer:

x=5

Step-by-step explanation:

7^x-3=49

x-3=2

x=5

solve the following inequality |2x-6|<10

Answers

Answer:

Absolute Value Inequality entered :      |2x-6|<10 

Step by step solution :STEP 1:Rearrange this Absolute Value InequalityAbsolute value inequalitiy entered      |2x-6| < 10 STEP 2:Clear the

Absolute Value BarsClear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |2x-6| For the Negative case we'll use -(2x-6) For the Positive case we'll use (2x-6) STEP 3:Solve the Negative Case      -(2x-6) < 10      Multiply      -2x+6 < 10      Rearrange and Add up      -2x < 4      Divide both sides by 2       -x < 2      Multiply both sides by (-1)      Remember to flip the inequality sign       x > -2    
  Which is the solution for the Negative Case

STEP 4:Solve the Positive Case      (2x-6) < 10      Rearrange and Add up      2x < 16      Divide both sides by 2       x < 8      Which is the solution for the Positive Case

STEP 5:Wrap up the solution    -2 < x < 8 Solution in Interval Notation    (-2,8) Solution on the Number Line

One solution was found :    -2 < x < 8

Step-by-step explanation:

mark me brainliest!!

A large plastic bucket is in the shape of a right, circular cylinder with dimensions shown below. If there are volume of this cylinder? 1000 cubic centimeters in a liter and 3.785 liters in a gallon, then which of the following is true about the volume of this cylinder?

Answers

The volume of the cylinder is between 5 and 6 gallons.

What is the volume of the cylinder?

A cylinder is a three-dimensional shape that is made up of a prism with a circular base.

Volume of a cylinder = nr^2h

Where:

h = heightn = 22/7r = radius

22/7 x 28 x (15^2) = 19,800 cubic centimeters

First convert the volume to liters = 19,800 / 1000 = 19.8

Now convert to gallons =  19.8 / 3.785 = 5.23 gallons

Please find attached the complete question. To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219

2=x+10/13
i really need help where everything goes

Answers

1: 26=x+10, multiplication property of equality

2: 16=x, simplify

3:

4

Use either point B or point C to find the lengths of the legs and hypoteuse of a right triangle

Answers

Answer:

can you show a picture of the problem

Christian is 1.35 meters tall. At 10 a.m. , he measures the length of a tree’s shadow to be 38.65 meters. He stands 34.4 meters away from the tree, so that the top of his shadow meets the tip of the tree’s shadow. Find the height of the tree to the nearest hundredth of a meter.

Answers

The height of Christian and the height of the tree is a ratio likewise the length of Christian shadow and tree shadow. Therefore, the height of the tree to the nearest hundredth is 1.52 meters.

What is Proportion?

Proportion is a mathematical comparison between two numbers. it says that two ratios (or fractions) are equal. Therefore,

Christian height = 1.35 m

Tree shadow  = 38.65 meter

Christian shadow = 34.4 meters

Let's establish the proportion to find the height of the tree. Therefore,

let

x = height of the tree

1.35 / x = 34.4 / 38.65

cross multiply

38.65 × 1.35 = 34.4x

x = 52.1775 / 34.4

x = 1.5167877907

x = 1.52 meters

Therefore, The height of the tree is 1.52 meters.

learn more on proportion here: https://brainly.com/question/25336051

Answer:

The answer is 1.52.

Step-by-step explanation:

I don't know the answer please tell me the correct one​

Answers

Answer:

See below

Step-by-step explanation:

Radius (r) = 8 inches

Chord = 8 inches

Since, length of radii and chord are equal. Thus the Triangle so formed by radii and chord will be an equilateral triangle.

[tex]\implies [/tex] angle subtended at the centre of the circle [tex](\theta)=60\degree [/tex]

Formula for area of segment of a circle is given as:

[tex]A = \frac{ {r}^{2} \theta }{36 0 \degree} \pi - \frac{1}{2} {r}^{2} \sin \theta \\ \\ \implies \: A = \frac{ {(8)}^{2} ( \cancel{60 \degree)}}{ \cancel{360 \degree}} \pi - \frac{1}{2} {(8)}^{2} \sin 60\degree \\ \\ \implies \: A = \frac {64 }{6} \pi - \frac{1}{2} \times 64 \times \frac{ \sqrt{3} }{2} \\ \\ \implies \: \huge \purple{ \boxed{A = \bigg( \frac {32 }{3} \pi - 16 \sqrt{3}\bigg) }\: sq\:in}[/tex]

how do you graph y = 3x + 2

Answers

Here’s a desmos photo: but if you’re curious how to do it on paper. Just look for x and t intercepts.

X int where y=0 (-2/3,0)
Y int where x=0 (0,2)

Gerald works at a warehouse that ships products to various grocery stores. He has 230 boxes of oatmeal to ship. If Gerald can place 12 boxes of oatmeal into a crate, what is the minimum number of crates he will need in order to ship every box of oatmeal?​

Answers

Answer:

20

Step-by-step explanation:

He only can put 12 boxes in 1 crate to ship 230 boxes of oatmeal the least number of crates he can use is 20 because 20 crates would= up to 240 boxes.

He can't do 19 boxes because he is short he would then only have 228 boxes and that is 2 short.

But if he does 20 crates he would be good for what needs and just have 10 more extra.

My calculations.

2 0

1  2

____

      4    0

 2    0  0

+

_________

2  4 0

This is saying he had 20 crates and use x as number of boxes for example each 1 crate could ship x amount of boxes and x is representing 12 boxes per crate and since he has 20 crates what is 20 x 12= x( the number of boxes total(240 boxes)



I hope this helps have a awesome day:)

Hello there! :)

Answer:

20 crates

Step-by-step explanation:

Since he has 230 boxes and each crate can have up to 12 boxes, we can divide 230 by 12 to see how many crates will be needed:

[tex]\boxed{\frac{230}{12} }[/tex]

Let's do long division to solve this:

we have the equation 230 ÷ 12

  __________

12  |    2    3    0



     __0_______

12  |    2    3    0

        -0

         2    3



     __0__1____

12  |    2    3    0

        -0

         2    3

        -1     2

         1     1     0



     __0__1__9_

12  |    2    3    0

        -0

         2    3

        -1     2

         1     1     0

        -1    0     8

         0    0    2

So, as we can see, the quotient is 19 but we have a remainder of 2, which means that, from the 230 boxes, 228 fits into 19 crates and 2 boxes are left. This means that we will need one extra crate to put these 2 boxes.

So, in total, he will need 20 crates.



[tex]Solved~by~-InLoveWithNature-[/tex]

If you have any queries please ask.



   

if the edge of the circle lies four units directly up from the x-axis what is the length of BC? What is the distance from B to D?

Answers

By using what we know about circles and distance between points, we will see that:

BD = 18 units

BC = 16.97 units

What is the distance from B to D?

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

The distance from B to D, will be equal to the distance from B to A, minus the radius of the circle.

Because we know that the center of the circle is at (8, 10), and the edge of the circle is 4 units above the x-axis, we can assume that the closest point on the circle to the x-axis is:

(8, 4)

Then the radius of the circle is given by the distance between these two points:

[tex]r = \sqrt{(8 - 8)^2 + (10 - 4)^2} = 6[/tex]

Now we need to find the distance between A and B.

A = (8, 10)

B = (0, 10 - 16*√2)

The distance between these points is:

[tex]d = \sqrt{(8 - 0)^2 + (10 - 10 + 16*\sqrt{2})^2 } \\\\d = \sqrt{(8)^2 + (16*\sqrt{2})^2 } = 24[/tex]

And the distance from B to D is the distance from B to A, minus the radius of the circle, so we have:

BD = BA - r = 24 - 6 = 18

The distance from B to D is 18 units.

To get the value of BC, we use the fact that this is a cathetus of a right triangle with a hypotenuse of 18 units, and where the other side AC measures 6 units, then we have:

BC^2 + 6^2 = 18^2

BC = √(18^2 - 6^2) = 16.97 units.

If you want to learn more about circles, you can read:

https://brainly.com/question/1559324

Emily says that a square is always a rectangle. Jenna says a rectangle is always a square. Who is correct and why are they correct?​

Answers

Answer:

Jenna is right

Step-by-step explanation:

Jenna is right because what makes up a square is its four sides. When calculating the area of a rectangle you use the same formula as you would for a square. A rectangle is just an elongated square.

The perimeter of a rectangular school yard is 264 meters. The school yard is 89 meters long. How wide is it?​

Answers

Answer:

43 meters

Step-by-step explanation:

Perimeter is 2l+2w

l equals length

w equals width

264 = 2*89 + 2w

264 = 178 + 2w

264 - 178 = 2w

2w = 86

w = 43

This data set represents the lengths in inches of pieces of ribbon used in a project.

What is the mean of this data set?

{1/4, 1 1/3, 2/3, 1/4, 1/2}

Enter your answer as a fraction in simplest form in the box.

in.

Answers

Answer:

3/5

Step-by-step explanation:

made all equivanlent fractions

1/4+4/3+2/3+1/4+1/2

make same denominator

3/12+16/12+8/12+3/12+6/12

add up

36/12 reduces to 3/1

divide by the nu mber of values

(5)

= 3/5

Solution:

The mean formula is:

Sum/Total Integers

Using the formula:

(1/4 + 4/3 + 2/3 + 1/4 + 1/2)/5

Adding/Subtracting like terms:

(2/4 + 6/3 + 1/2)/5

Simplifying 2/4:

(1/2 + 2 + 1/2)/5

Adding/Subtracting like terms:

=> (1 + 2)/5=> 3/5

Thus, the mean is 3/5.

ahmed is 17 years old and grandmother is 86 years old express ahmed's age age as percentage of his grand​

Answers

Answer:

17÷86×100%

=0.19×100%

=19%

it costs $50 to join a gym plus $28 per month define the variable

Answers

Answer:

28

Step-by-step explanation:

because it's value increases by 28 every month

Select the correct answer from each drop-down menu.
Rafael wants to construct a square inscribed in a circle. He divides the circle into six equal arcs and then draws line segments between four of the points. What was the first error Rafael made?


The first error Rafael made was
A.Connecting points F and E
B. Dividing the circle in six parts
C. Connecting points B and F
.
A square is constructed by first
A. Drawing a radius
B. Drawing a chord
C Drawing a diameter
.

Answers

The square in the circle is an inscribed square

The first error Rafael made was (B) Dividing the circle in six partsA square is constructed by first (c) Drawing a diameter

How to determine Rafael's error

When drawing a square in a circle, the diameter of the circle is the first thing that needs to be drawn immediately after drawing the circle.

This means that: the first error Rafael made was dividing the circle in six part and a square is constructed by first drawing a diameter

Read more about inscribed square at:

https://brainly.com/question/24579466

Answer:

In the image

Hope this helps!

Step-by-step explanation:

Managers spend up to 20 hours per week reading emails and one study showed that out of 200 emails,
36 were spam, 144 were irrelevant, and 20 of them were useful. Write the ratio of spam and irrelevant
Email to the total emails in all three ratio forms.

Answers

Answer:

36:200 = Spam to Total

144:200 = Irrelevant to Total

20:200 = Useful to Total

Step-by-step explanation:

An observatory is 150 feet high. When a person is standing in the observatory looking at an island, the angle of depression is . What is the approximate horizontal distance from the observatory to the island?
A. 70 feet
B. 166 feet
C. 322 feet
D. 355 feet

Answers

Answer:

C

Step-by-step explanation:

We want to find the horizontal distance from the observatory to the island, which is adjacent to the known angle.

Because we also know the height of the observatory and is opposite to the angle, we can consider using tangent. Recall that:

[tex]\displaystyle \tan \theta ^\circ = \frac{\text{opposite}}{\text{adjacent}}[/tex]

Let the horizontal distance be x. Substitute in known values:
[tex]\displaystyle \tan 25^\circ = \frac{150}{x}[/tex]

Solve for x:

[tex]\displaystyle x = \frac{150}{\tan 25^\circ}[/tex]

Use a calculator. Hence:

[tex]x\approx 322\text{ feet}[/tex]

In conclusion, our answer is C.

Answer:

c.322 ft

Step-by-step explanation:

took the test

the two basic types of methods used to trace and assign product costs are
A. job costing and process costing
B. periodic costing and perpetual costing
C. product costing and materials inventory costing
D. periodic costingand process costing

Answers

Answer:

c.) product costing and materials inventory costing.

Step-by-step explanation:

Product costing methods are used to assign a cost to a manufactured product. The main costing methods available are process costing, job costing, direct costing, and throughput costing. Each of these methods applies to different production and decision environments.

The answer is c product costing and materials inventory costing

[tex]6+\sqrt[5]{249-2x} =7[/tex]

Answers

Answer: 124

Step-by-step explanation:

First, subtract 6 on both sides to get:

[tex]\sqrt[5]{249-2x} =1[/tex]

Take both sides to the 5th power. The radical will cancel, and the right side will be unchanged:

[tex]249-2x=1[/tex]

Subtract 249 on both sides:

[tex]-2x=-248[/tex]

[tex]2x=248[/tex]

[tex]x=124[/tex]

Answer:

x=124

Step-by-step explanation:

[tex]6+\sqrt[5]{249-2x} =7\\\sqrt[5]{249-2x} =7-6=1\\249-2x=1^5=1\\249-1=2x\\2x=248\\x=\frac{248}{2} =124[/tex]

do the lengths 5, 15, 10 make a triangle & why

Answers

Answer:

No, they do not

explanation: "The sum of the lengths of any two sides of a triangle must be greater than the length of the third side."

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