the two figures are similar

The Two Figures Are Similar

Answers

Answer 1

Answer:

Part a) [tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]

Part b) The dilation is an enlargement, because the sides of the image are larger than the sides of the original figure.(the scale factor is greater than 1)

Part c) The scale factor is [tex]3[/tex]

Step-by-step explanation:

Part a) Write the similarity statement

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

so

[tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]

substitute the values

[tex]\frac{9}{27}=\frac{12}{36} =\frac{15}{45}[/tex]

[tex]\frac{1}{3}=\frac{1}{3} =\frac{1}{3}[/tex] ----> is true

therefore

the figures are similar

Part b) The dilation is an enlargement, because the sides of the image are larger than the sides of the original figure. (the scale factor is greater than 1)

Part c) we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z------> the scale factor

x-----> corresponding side of the image

y------> corresponding side of the original figure

so

[tex]z=\frac{x}{y}[/tex]

we have

[tex]x=A'B'=27\ units[/tex]

[tex]y=AB=9\ units[/tex]

substitute

[tex]z=\frac{27}{9}=3[/tex]

The scale factor is greater than 1

therefore

Is an enlargement


Related Questions

Here is a picture of a cube, and the net of this cube.

What is the surface area of this cube?

Enter your answer in the box.
ft²
A cube and a net of the cube are shown. The edge length of the cube is labeled 16 feet. The net consists of 4 squares connected vertically, and 1 square is attached to the right of the third square and 1 square is attached to the left of the second square. One square in the net is labeled with a side labeled 16 feet.

Answers

Answer:

96 ft²

Step-by-step explanation:

in a cube all sides are congruent so you take one measurement and multiply it by the number of sides, so you do 16 × 6 equals 96.

Answer:

Step-by-step explanation: other people said...

96ft but the real answer is...

1536 like is this helped

I need the answer to number 4

Answers

Answer: 6.3

Step-by-step explanation

I did this today and it's easy but you have to show a lot of work well I did but you don't have to you can just circle it in

what is the spread of the middle 50% of the data called

Answers

the spread of the middle data is called the interquartile range and the left and right twenty five percent data are both called the twenty five percent quartiles

HOPE THIS HELPS

Final answer:

The Interquartile Range (IQR) is the spread of the middle 50% of data. It is found by subtracting the first quartile (Q1) from the third quartile (Q3). A larger IQR indicates more variability within the dataset.

Explanation:

Interquartile Range (IQR)

The spread of the middle 50% of data in a dataset is known as the Interquartile Range (IQR). It is a measure of statistical dispersion and part of the five-number summary commonly used in descriptive statistics. To calculate it, you subtract the first quartile value (Q1) from the third quartile value (Q3). This range covers the middle 50 percent of the data, indicating where the bulk of the values fall and providing a sense of variability. An example based on given data can illustrate where Q1 is at 64.5 and Q3 is at 70, thus the IQR is 70 - 64.5 = 5.5. A larger IQR indicates more variability within the middle portion of the dataset. It is used alongside other descriptive statistics like the median, range, and standard deviation to provide a comprehensive understanding of the data's distribution.

what is Convert 32º 15’ 45” to decimal

Answers

Answer:

N\77777

Step-by-step explanation:

Answer:

N\77777

Step-by-step explanation:

Please help in this question

Answers

Answer:

3

Step-by-step explanation:

first turn 9 and 3/4 and make it inproper fraction wich is 27/4

then divide them

Answer:

a

Step-by-step explanation:

HELP ASAP!!! What is the value of x?

Enter your answer in the box.

x =

Answers

Answer:

8

Step-by-step explanation:

Pythagoras theorem states a²+b²=c²

In this example c² is given to us (10) and a² is given to us (6)

To work out x we have to √10²-6² which is 8


[tex]x {}^{2} + 36 = 100 \\ x {}^{2} = 64 \\ \sqrt{x} {}^{2} = \sqrt{64} \\ x = 8 [/tex]

Plz help !! Me with it

Answers

Answer:

x=31

Step-by-step explanation:

4+ sqrt (x+5) = 10

Subtract 4 from each side

4 -4+ sqrt (x+5) = 10-4

sqrt(x+5) = 6

Square each side

(sqrt(x+5))^2 = 6^2

x+5 = 36

Subtract 5 from each side

x+5-5 = 36-5

x = 31

Answer:  b. 31

Step-by-step explanation:

[tex]4+\sqrt{x+5}=10\\\\\sqrt{x+5}=6\\\\(\sqrt{x+5})^2=(6)^2\\\\x+5=36\\\\x=31\\\\\\Check:\\4+\sqrt{(31)+5}=10\\\\4+\sqrt{36}=10\\\\4+6=10\ \checkmark[/tex]

PLZ HELP URGENT!!!! Valentin is deciding where to buy computer glasses. Each store offers a 1-year loan for $750 but with different interest rates and fees. Which is the best way for Valentin to choose the $750 loan that will cost him the LEAST?
A:Choose the loan with the lowest Annual Percentage Rate (APR).
B:Choose the loan with the lowest interest rate.
C:Choose the loan with the highest interest rate.
D:Choose the loan with the lowest fees.

Answers

Answer:

b on edg 2021

Step-by-step explanation:

Answer:

A:Choose the loan with the lowest Annual Percentage Rate (APR).

Step-by-step explanation:

i got it right on imagine math

Approximately what portion of the beaker is filled?

Answers

I would say the answer is A

Final answer:

To find the portion of the beaker filled, consider the total volume of the beaker and the volume up to which it is filled. Perform division and multiply by 100 to get the percentage filled.

Explanation:

To determine the portion of the beaker filled, one must first understand the metrics of a beaker. A beaker is a cylindrical container with a flat bottom used to measure liquids. The scale etched on the side of the beaker represents the volume it contains. Suppose the total volume from the bottom up to the line of liquid is 300 mL and the total capacity of the beaker is 500 mL. By performing a simple division, 300 mL divided by 500 mL=0.6. Therefore, approximately 60% of the beaker would be filled. This is an approximate measure and for more accuracy, one should use a graduated cylinder.

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2 3/4 x 6 2/3 what would be the answer​

Answers

Answer:

do the work

Step-by-step explanation:

convert the 2 fractions

then multiply vetically

Answer:

18 1/3

Step-by-step explanation:

Multiply the two fractions together

a direct variation includes the points (4,20) and (1,n). find n

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf (\stackrel{x}{4},\stackrel{y}{20})\qquad \textit{we know that } \begin{cases} x=4\\ y=20 \end{cases}\implies 20=k4\implies \cfrac{20}{4}=k \\\\\\ 5=k~\hspace{10em} therefore\qquad \boxed{y=5x} \\\\\\ (\stackrel{x}{1},\stackrel{y}{n})~~\textit{when x = 1, what is \underline{y}?}\qquad y=5(1)\implies \stackrel{n}{y}=5[/tex]

i need help with all the problems shown before 6:00am tomorrow morning

Answers

1. B

Robin got C because she found the sum of students that didn't plan to go to the school play.

2.

Sixth graders
No: 48.1%

Seventh graders
Yes: 45.2%

Eighth graders:
Yes: 40%
No: 60%

Yes, because the higher the grade level, the less students that planned to go to the play. It was probably because the higher grade level students have more things planned and less time to do stuff.

If a circle has a diameter of 16 feet which expression gives its area in square feet

Answers

Answer: [tex] (8)^2\pi\ feet^2[/tex]

or

[tex]64\pi \ feet ^2[/tex]

Step-by-step explanation:

We are given that the diameter of a circle = 16 feet

Then the radius of the circle = [tex]r=\dfrac{d}{2}=\dfrac{16}{2}=\ 8 feet[/tex]

Also, the area of a circle is given by :_

[tex]A=\pi r^2[/tex] , where r is radius of the circle .

For r = 8 feet

The area of the circle = [tex]\pi (8)^2=\pi (64)=64\pi \ feet ^2[/tex]

Hence, the expression that gives its area in square feet =

[tex] (8)^2\pi \ feet^2[/tex]

or

[tex]64\pi \ feet ^2[/tex]

Which solid figure has two parallel bases that are congruent polygons and rectangular faces joining the bases

Answers

A prism is a solid figure that has two parallel congruent sides that are called bases that are connected by the lateral faces that are parallelograms.

Answer:

a prism

Step-by-step explanation:

ap3x

what is the valume of that?​

Answers

Answer:

960 in^3

Step-by-step explanation:

Multiply the base by the height

Base: (12*8)/2=48

Height: 20

The volume of a triangular prism is the area of the base multiplied by the height.

Let's first identify our values:

20 in = height of prism

12 in = base of triangle

8 in = height of triangle

First, we need to calculate the area of the triangle. To calculate the area of the triangle, we multiply the base of the triangle by the height of the triangle. In this case, the base is 12 and the height is 8 so 12 × 8 = 96 and then we divide 96 by 2 and we will get a quotient of 48.

Finally, we will multiply the area of the triangle which is 48 by 20.

48 × 20 = 960[tex]in^{2}[/tex].

Create a real life representation of the following multiplication problem. Explain what the result represents in the problem. 2 4 ( 1 /3 ) = 8 the 1/3 is in fraction form

Answers

One third of two-dozen donuts (24) is eight donuts. If I make three groups of eight donuts, I will have a total of twenty-four donuts.

Which point has the coordinates (-3 1/2,2)

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The answer is point X.

Explanation: If you can see the graph, You can see that there are two points that are on the left, which is negative for the first number. Then, the second number, the Y position, which is 2, goes up, not down. So the right one is point X.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

The point X has the given coordinates (-3 1/2, 2).

How do we read a graph in the Coordinate (x-y) plane?

A point on the graph can be read as a point (x, y) where y is the perpendicular distance of the point from the x-axis and x is the perpendicular distance of the point from the y-axis.

If the point is left to the y-axis, we take the distance negative.

If the point is below the x-axis, we take the distance negative.

How do we solve the given question?

We are asked which point in the graph represents the point (- 3 1/2, 2).

To answer the question, we will analyze all the points to determine their coordinates.

Point W:

The perpendicular distance from the y-axis (x) = 2 units.

The perpendicular distance from the x-axis (y) = 3 1/2 units.

∴ The point W is (2, 3 1/2).

Point X:

The perpendicular distance from the y-axis (x) = 3 1/2 units.

The perpendicular distance from the x-axis (y) = 2 units.

∵ The perpendicular distance from the y-axis (x) is on the left side of the y-axis, we take x = 3 1/2 as negative, that is, x = -3 1/2.

∴ The point X is (-3 1/2, 2).

Point Y:

The perpendicular distance from the y-axis (x) = 2 units.

The perpendicular distance from the x-axis (y) = 3 units.

∵ The perpendicular distance from the y-axis (x) is on the left side of the y-axis, we take x = 2 as negative, that is, x = -2.

∵ The perpendicular distance from the x-axis (y) is below the x-axis, we take y = 3 as negative, that is, y = -3.

∴ The point Y is (-2, -3).

Point Z:

The perpendicular distance from the y-axis (x) = 2 units.

The perpendicular distance from the x-axis (y) = 3 units.

∵ The perpendicular distance from the x-axis (y) is below the x-axis, we take y = 3 as negative, that is, y = -3.

∴ The point Z is (2, -3).

∴ We can say that point X has the given coordinates (-3 1/2, 2).

Learn more about the reading of graphs at

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the town library is raising money by selling old books for $2 each which equation can be used to find the amount of money raised if number of books sold is no let x represent the number of books sold and y represent the number of dollars raised

Answers

Answer:

(6550)

Step-by-step explanation:

You can put this solution on YOUR website!

Call the number of hardcover and paperback books, h and p.

Thus  

h + p = 8 and the value equation is

4h + 2p = 26

Now multiply the top one by four and subtract from the second one...we get

4h + 2p = 26

-(4h + 4p = 32)

----------------

-2p = -6

p = 3 so that

h = 5   x +  y = 8,    (1)

4x + 2y = 26,   (2)

where x and y are the numbers of hardcover and softcover books respectively.

To solve, multiply the equation (1) by 2 (both sides) and then distract it from the equation (2). You will get

4x - 2x = 26 - 16,   or

2x = 10,   or   x = 5 - the number of hardcover books purchased.

Then from the equation (1) you get y = 3.

Check. 4*x + 2*3 = 4*5 + 2*3 = 26. OK.

Answer:

y=2x

Step-by-step explanation:

Attached, is a picture with all the work!

Which correctly describes a cross section of the square pyramid? Check all that apply.

A cross section parallel to the base is a square with side lengths of 2 ft.

A cross section parallel to the base is a square with side lengths of less than 2 ft.

A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid.

A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.

A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.

Answers

Answer:

acd

Step-by-step explanation:

please give brainly

The Answer is 1, 4, and 5 hope this helps.

Simplify: 9x3 + 8x2 + 3x2

A. 20x7
B. 9x3 + 11x4
C. 9x3 + 11x2
D. 9x3 + 24x4

Answers

Answer:

[tex]\large\boxed{C.\ 9x^3+11x^2}[/tex]

Step-by-step explanation:

[tex]9x^3+8x^2+3x^2\qquad\text{combine like terms}\\\\=9x^3+(8x^2+3x^2)\\\\=9x^3+11x^2[/tex]

3x - x + 3 + x - 5 - x = x + 10

Answers

Answer:

x=12

Step-by-step explanation:

Let's solve your equation step-by-step.

3x−x+3+x−5−x=x+10

Step 1: Simplify both sides of the equation.

3x−x+3+x−5−x=x+10

3x+−x+3+x+−5+−x=x+10

(3x+−x+x+−x)+(3+−5)=x+10(Combine Like Terms)

2x+−2=x+10

2x−2=x+10

Step 2: Subtract x from both sides.

2x−2−x=x+10−x

x−2=10

Step 3: Add 2 to both sides.

x−2+2=10+2

x=12

Answer:

x= 12

Step-by-step explanation:

Cancel xx on both sides.

3x-x+3-5-x=103x−x+3−5−x=10

3x-x+3-5-x3x−x+3−5−x to x-2x−2.

x-2=10x−2=10

3 Add 22 to both sides.

x=10+2x=10+2

10+210+2 to 1212.

x=12x=12

Isaac sold 58 of his baseball cards at a collectors show. If this represented 14.5% of his total collection, how many baseball cards did Isaac have before he sold his cards?

Answers

Answer:

[tex]400\ cards[/tex]

Step-by-step explanation:

Let

x------> amount of baseball cards Isaac had before he sold

we know that

[tex]14.5\%=14.5/100=0.145[/tex]

so

[tex]0.145x=58[/tex]

Solve for x

[tex]x=58/0.145[/tex]

[tex]x=400\ cards[/tex]

Tabitha received $2,200 from her aunt as a birthday gift. She decided to put the money in an account to save for college. The account has a fixed interest rate of 7.8%, compounded semi-annually. How much money will be in the account after five years?

Answers

3225.36

Step-by-step explanation:

Find f(–2) for f(x) = 3 • 2x

Answers

Answer: f(-2)= -12

Step-by-step explanation:

f(-2)= 3*2(-2)

f(-2)= 3*(-4)

f(-2)= -12

They wrong the real answer here is 3/4

simplify (-5xsquared-3x-7)+(-2x to the third +6xsquared -8)

Answers

Answer:

[tex]\large\boxed{(-5x^2-3x-7)+(-2x^3+6x^2-8)=-2x^3+x^2-3x-15}[/tex]

Step-by-step explanation:

[tex](-5x^2-3x-7)+(-2x^3+6x^2-8)\\\\=-5x^2-3x-7-2x^3+6x^2-8\qquad\text{combine like terms}\\\\=-2x^3+(-5x^2+6x^2)-3x+(-7-8)\\\\=-2x^3+x^2-3x-15[/tex]

You want to take a trip to New Zealand.
Your friend does some research and tells you the range of the prices for flights is $651.

Which of the following could be the prices for flights that your friend found?

$890, $1340, $1441, $1210


$930, $1620, $1245, $1581


$942, $1593, $1220, $980


$1260, $925, $1676, $1095

Answers

Answer: The correct answer is the third choice.

Step-by-step explanation: In order to solve this problem you need to calculate the range of each of the options presented. In order to do this you need to calculate the difference between the highest number and the lowest number. In the third option the lowest number is $942 and the highest number is $1,593. $1,593 - $942 = $651.

The prices my friend found are $942, $1593, $1220, $980.

What is range?

Range is the difference between the highest and lowest values of a set of observations. Range is a measure of variation.

Range = highest value - lowest value

Which could be the set of prices?

In order to determine the prices found, we have to determine the range of each option.

Option A: $1441 - $890 = $551Option B: $1581 - $930 = $690Option C: $1593 - $942 = $651Option D: $1676 - $925 = $751

To learn more about range, please check: https://brainly.com/question/23748991

I reallly neeeeeeed help so anybody??

Answers

Answer:

D

Step-by-step explanation:

Since the ordered pairs are linear then the slope m between corresponding points will be equal.

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (6, 7) and (x₂, y₂ ) = (2, 5)

m = [tex]\frac{5-7}{2-6}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]

Repeat with (x₁, y₁ ) = (6, 7) and (x₂, y₂ ) = (k, 11)

m = [tex]\frac{11-7}{k-6}[/tex] = [tex]\frac{1}{2}[/tex], that is

[tex]\frac{4}{k-6}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

k - 6 = 8 ( add 6 to both sides )

k = 14 → D

At the beginning of January, Kesia Records paid $148,950 to acquire the exclusive rights to a new album. It costs them $1.13 to print a copy of this album, which they can sell for $9.75. The following chart shows the sales of that record, along with the overhead expenses of running a record studio, not counting production costs. Month Albums Sold Expenses Jan. 5,486 $27,714 Feb. 8,191 $21,689 Mar. 4,796 $25,195 Apr. 7,490 $28,766 May 6,272 $24,604 Jun. 5,131 $29,040 In whch month did Kesia Records first break even? a. January b. March c. April d. May

Answers

Answer:

d. May

Step-by-step explanation:

To find when Kesia records got to break even, we first need to find how much they made total per month.

Now we need to first find how much they made on January.

The production cost of January will be:

Production cost = 5486 x 1.13

Production cost = $6199.18

Now that we know the production cost, we need to solve first for the total revenue.

Total Sales Revenue = 5486 x 9.75

Total Sales Revenue = $53488.50

Now that we have both the revenue and the production cost, we need can find how much profit by:

Profit = Total Sales Revenue - Production cost - Overhead

Profit = 53488.50 - 6199.18 - 27714

Profit = $19575.32

So they made a profit of $19575.32 by the end of January.

Now we move on to the other months.

Production cost = 8191 x 1.13

Production cost = $9255.83

Total Sales Revenue = 8191 x 9.75

Total Sales Revenue = $79862.25

Profit = 79862.25 - 9255.83 - 21689

Profit = $48917.42

Now that we have the profit for 2 months, we simply add them together.

Current Value = 19575.32 + 48917.42

Current Value = 68492.74

By doing the same process with the rest of the months, we get:

Refer to Image.

We can see in the image that by May they reach a total profit of $149897.77.

Since Kesia records paid $148950, the company got to break even at the month of May.

Answer:

d

Step-by-step explanation:

Stephen takes a walk around the block. The rectangular block is 80m long and 115m wise. How far does Stephen walk? whoever answer I give them brainliest

Answers

Answer:

Option A. [tex]390\ m[/tex]

Step-by-step explanation:

we know that

To find how far Stephen walk, calculate the perimeter of the block

Remember that

The perimeter of rectangle (block) is equal to

[tex]P=2(L+W)[/tex]

we have

[tex]L=80\ m[/tex]

[tex]W=115\ m[/tex]

substitute the values

[tex]P=2(80+115)=390\ m[/tex]

What is the approximate area of the shaded region

Answers

ANSWER

The correct answer is

21.5 square centimeters

EXPLANATION

The shaded area is the area of the square minus the area of the Circle.

Area of shaded region

[tex] = {l}^{2} - \pi \: {r}^{2} [/tex]

From the diagram,

[tex]l = 10cm[/tex]

and

[tex]r = \frac{l}{2} = \frac{10}{2} = 5cm[/tex]

This implies that,

Area of shaded region

[tex] = {10}^{2} - \pi \times {5}^{2} [/tex]

[tex] = 100 -25 \pi [/tex]

[tex] \approx21.5 {cm}^{2} [/tex]

The answer would be 21.5 square centimeters. Hope this helps!

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