How to solve stacked similar figures

Answers

Answer 1

Answer:

Step-by-step explanation:

You can identify similar polygons by comparing their corresponding angles and sides. As you see in the following figure, quadrilateral WXYZ is the same shape as quadrilateral ABCD, but it’s ten times larger (though not drawn to scale, of course). These quadrilaterals are therefore similar.

similar polygons: For two polygons to be similar, both of the following must be true:

Corresponding angles are congruent.

Corresponding sides are proportional.

To fully understand this definition, you have to know what corresponding angles and corresponding sides mean. (Maybe you’ve already figured this out by just looking at the figure.) Here’s the lowdown on corresponding. In the figure, if you expand ABCD to the same size as WXYZ and slide it to the right, it’d stack perfectly on top of WXYZ.


Related Questions

Solve the system using substitution. Check your solution.
2x - y= 65
5y = x

Answers

Answer:

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]

isolate 'x' for 2x-y

[tex]2x-y=65[/tex]

Add y to both sides

[tex]2x-y+y=65+y[/tex]

[tex]2x=65+y[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]

[tex]x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]

isolate 'y' for  [tex]5y=\frac{65+y}{2}[/tex]

[tex]5y=\frac{65+y}{2}[/tex]

[tex]10y=65+y[/tex]

subtract y from both sides

[tex]10y-y=65+y-y[/tex]

[tex]9y=65[/tex]

Divide both sides by 9

[tex]\frac{9y}{9}=\frac{65}{9}[/tex]

[tex]y=\frac{65}{9}[/tex]

[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]

[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]

[tex]x=\frac{325}{9}[/tex]

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]

can someone plz help me! plz i also added some more points plz help

Answers

Answer:

15x + 12(10 - x) = 1417 and 3

Step-by-step explanation:

The number of people who have two-course meal is (10 - x)

Correct equation is:

15x + 12(10 - x) = 141

Solving for x:

15x + 120 - 12x = 1413x = 141 - 1203x = 21x = 7

Answer:

Number who have three-course meal = 7Number who have two-course meal = 3

Answers:

1) 15x + 12(10 - x) = 141

2) 7 and 3

15x + 12(10 - x) = 141

15x + 120 - 12x = 141

3x = 141 - 120

3x = 21

x = 7

PLEASE HELP

due today in 20 minutes
i will mark you brainliest

Answers

Excuse if I have this wrong but I’m going to guess that in every question how the 2 is up the m or the other letters that means you are multiplying that number/ letter by its self one more time so I’m not really sure, I’m sorry.

Someone help plz right answer gets to be brainliest

Answers

1) A
2)E
3)B
4)G

If you have any questions let me know:)

Graph the line x+2y=12 on the axes provided.

Answers

Answer: x=2y=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Convert the equation into mx+b format.

y=-1/2x + 6

Then, graph the line using the slope and y-intercept.

Simplify 3(2y -1) + 2y

Answers

Answer: 8y -3

Step-by-step explanation:

3(2y -1) + 2y

6y -3 + 2y

8y -3

Answer:

8 y - 3

Step-by-step explanation - I got it from google so its right 100%

what is 3,910 divided by 25 using the power of 10
A: 25
B: 250
C: 25,000

Answers

Answer:

izuocha is superior

Step-by-step explanation:

Answer:

ochaochaochaocha

Step-by-step explanation:

sorry i trying to get attention from someone

im stressing and im losing points. i need help please

Answers

Answer:

I think it is X or Y. I might be wrong.

Answer:

∠Y = 85°  , side XZ

Step-by-step explanation:

180 = 5x - 1 + 8x + 5 + 4x + 6

180 + 1 - 5 - 6 = 5x + 8x + 4x

170 = 17x

x = 170 / 17

x = 10

∠X = 5(10) - 1 = 49°

∠Y = 8(10) + 5 = 85°

∠Z = 4(10) + 6 = 46°

therefore, the longest side of a triangle is the opposite site of

∠Y = 85°  , side XZ

Billy Bob is filling his bathtub with water. At one minute, there are 5
gallons, at two minutes there are 8 gallons, and at 3 minutes there are
11 gallons of water in the tub.
If this pattern continues, how many gallons of water will be in the tub
at 7 minutes?

Answers

Answer:

There will be 23 gallons

Answer:

23 gallons

Step-by-step explanation:

the bathtub is filling by 3 more gallons every minute, 7-4=3, 4*3=12, 11+12=23

A video game awards points each time a player finds a diamond. The players' point total increases with each additional diamond the player finds, as shown in the table below.

If n represents the number of diamonds found and p represents the total number of points, write an equation that models the points awarded for finding diamonds in this video game. Use the on-screen keyboard to type the equation in the box.

Answers

Answer:

15x-5=y

Step-by-step explanation:

The equation of the line will be written as y = 15x - 5.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given data is,

The number of diamonds          Total number of points earned

      1                                                             10    

      2                                                            25

      3                                                            40    

      4                                                            55  

      5                                                            70

The slope of the line will be,

Slope = ( 25 - 10 ) / 1

Slope = 15

The y-intercept of the line,

y = mx + c

y = 15x + c

10 = 15 + c

c = -5

The equation will be written as,

y = mx + c

y = 15x - 5

Therefore, the equation of the line will be written as y = 15x - 5.

To know more about an equation of the line follow

https://brainly.com/question/18831322

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The club sold shirts and capes to raise money for new stage equipment. The club sold each shirt for $20.00. The club made profit of $4.00 for each shirt. Sold. Part A: The drama club sold a total of $480.00 worth of shirts. How much profit did the club make from the shirt sale?

Answers

Answer:

The club made a profit of $96 from the shirt sale.

Step-by-step explanation:

First, you have to find the number of shirts sold by dividing the total amount sold by the price per shirt:

480/20=24

Now, that you know the number of shirts that were sold, you can multiply the profit per shirt for the number of shirts sold:

4*24=96

According to this, the answer is that the club made a profit of $96 from the shirt sale.

Keegan and Annie are working on an experiment in the
science lab. Their mixture contains ingredients that weigh
5.12 grams, 4.7 grams, and 7.32 grams. Keegan calculates
the combined weight to be 17.14 grams; Annie calculates
it to be 12.91 grams.
Who is correct, and why?
5.12
4.70
Keegan
+7.32
17.14
5.12
4.7
Annie
+7.32
12.91
O A. Keegan is correct. Annie did not regroup properly,
O B. Annie is correct. Keegan did not line up the decimals correctly.
C. Keegan is correct. Annie did not line up the decimals correctly.
D. Annie is correct. Keegan did not regroup properly.

Answers

Answer:

me name mort am swag

Step-by-step explanation: me my mom. she say help the noob. am no help you. doodoo pants.

One brand of cookies is sold in three different box sizes small medium and large the small box has half the volume of the Box the volume of the medium box the volume of the medium boxes X if someone buys one of each size which expression shows the combined volume of the three boxes?

Answers

Answer:

 3.5x

Step-by-step explanation:

the medium box would be 1x, if small is half the size, its 0.5x, and large is 2x since its 2x the size of medium. add all of them up and its 3.5x size

Can anyone by chance know how to do these geometry questions?

Answers

my screen shows black pages there isn’t anything there for me?

Answer:

G is equal to (8, -11)

Step-by-step explanation:

We are given the midpoint and one end of the line segment.  We can find the other end of it by taking the distance from H to M, doubling it, and adding that to H:

[tex]G(x, y) = H(x, y) + 2(M(x, y) - H(x, y))\\\\G_x = H_x + 2(M_x - H_x)\\G_x = -4 + 2(-6 - (-4))\\G_x = -4 + 2(-2)\\G_x = -4 - 4\\G_x = 8\\\\G_y = H_y + 2(M_y - H_y)\\G_y= 3 + 2(- 3 - 4)\\G_y= 3 - 6 - 8\\G_y = -11[/tex]

So the coordinates of endpoint G are (8, -11)

What is the rate
$150/25
written as a unit rate?
A.

$30/5
B.

$6/1


C.

$4/1
D.

$125/2

Answers

The answer is B, divide the rate by the unit to simplify

Answer:

B

Step-by-step explan

150 divide by 25

25 divide by 25

Hi if anyone gets this pls help i understand but i wanna be sure

Answers

Answer:

A. [tex]8x^{6}[/tex]

Step-by-step explanation:

Answer:

8x6

Step-by-step explanation:

1. Suppose Alice eats 3 ounces of base 2 cake (doubles her height for each ounce eaten) at each meal. a) What will her height be multiplied by after two meals? b) After three meals? c) After four meals? d) After M meals?

Answers

Answer:

a)64

b)512

c)2^12

d)2^3m

Step-by-step explanation:

At every meal, 3 ounces of the cake is eaten

a) After 2 meals, the number of ounces consumed is 6 ounces

For each ounce, height is doubled , for 6 ounces, we have 2 * 2 * 2 * 2 * 2 * 2

Her height is multiplied by 64

b) After three meals

Total consumption is 3 * 3 = 9 ounces

So her height will be multiplied by 2^9 = 512

c) After four meals

Total ounces is 4 * 3 = 12

So her height will be multiplied by 2^12

d) After M meals

Number of ounces is m * 3 = 3m ounces

Her height will be multiplied by 2^3m

Solve the following inequality.
7(6 - 4n) + 4n > 138

Answers

Answer:

n <−4

42 - 28n + 4n >138

42 - 24n >138

-24n > 138 - 42

-24n >96

n <−96/24

N <−4

answer quickly !!! Pls

Answers

Answer:

(6 × 5) + (6 × 3) = 6 × (5 + 3)

Step-by-step explanation:

Since both 5 and 3 are being multiplied by 6, the total would be 6 multiplied by the sum of 5 and 3.

PLEASE HELP ME WITH THIS ASAP

Answers

9514 1404 393

Explanation:

1. ΔABC ≅ ΔDEF . . . . . 1. SAS postulate*

_____

The two given congruent sides are either side of the given congruent angle, so the SAS postulate applies. The objective appears to be irrelevant.

Can someone do this please

Answers

ok so umm you need to do 5x4= 20 and divide 20 and 4 you get 5 and multiply 5x4 you get 20 and the answer is 20

Can someone help me pls

Answers

Answer:

1) rational

2) Irrational

3)rational

4) irrational

5) rational

Step-by-step explanation:

If it has a whole number answer and doesn't have never ending number its rational

Olivia filled 6 baskets of strawberries. Later she combined the fruit evenly into 3 larger boxes. if all 3 boxes sold for $42, how much money did each box of strawberries cost?

Answers

Answer:

21

Step-by-step explanation:

becuase that's the answer lol

please help me i’ve tried so many of these and i can’t figure out how to do it

Answers

Answer:

15.4%

Step-by-step explanation:

Calculate the volume of both containers.

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

[tex]V_{A}[/tex] = π × 10² × 11 = 1100π ft³

[tex]V_{B}[/tex] = π × 7² × 19 = 931π ft³

Subtract volume of B from volume of A to find quantity left in A

quantity left in A = 1100π - 931π = 169π ft³

To calculate the percentage left in A after B has been filled

[tex]\frac{left}{full}[/tex] × 100%

= [tex]\frac{169\pi }{1100\pi }[/tex] × 100%

= [tex]\frac{169}{1100}[/tex] × 100%

= 15.4% ( to the nearest tenth )

i genuinely don't understand . please help me asap

Answers

Answer:

48.17

Step-by-step explanation:

Umm.. i don't really have time to explain but

A^2+B^2=C^2

36^2+32^2=48.17

At the start of the month, Stephen’s savings account had a balance of $1,624. He made a $420 withdrawal each week for four weeks. During that month, he also made two deposits of $600 each and one deposit of $1,000. What was the balance in Stephen’s account at the end of the month?

Answers

Answer:

- 1625

Step-by-step explanation:

420 times 4 = 1680

1624 - 1680 = -56

-56 - 600 - 1000 = -1625

BRAINLIEST PLEASE

Your friend offers to pay you $10 plus $2 per day if you will watch his dog while he’s on vacation. Another friend offers you $15 plus $1 per day to watch her dog during the same time. You cannot do both jobs. Tell which job you would choose and explain why.

Answers

Answer:

the first one

Step-by-step explanation:

you get lower down payment but higher fee payment

Answer:

their correct

Step-by-step explanation:

Is SAM - DEL? If so, identify the similarity postulate or theorem that
applies.

A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined

Answers

Answer:

Step-by-step explanation:

C

The theorem that applies is Similar SAS.

The correct option is C.

What are similar triangles?

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given information:

SM = 27, angle SMA = 31 degrees, MA = 15, DL = 9, LE = 5 and Angle DLE = 31 degrees.

From the given information, we know that angle SMA is congruent to angle DLE because they both have a measure of 31 degrees. However, we do not have any information about the other angles in the two triangles.

To check if the corresponding sides are proportional, we can compare the ratios of the corresponding side lengths:

SM/ DL = 27/9 = 3

MA/LE = 15/5 = 3

Since the ratio of SM to DL is equal to the ratio of MA to LE, we know that the corresponding sides are proportional.

Therefore, we can use the Similarity-SAS (Side-Angle-Side) postulate to conclude that the triangles are similar. The postulate states that if two pairs of corresponding sides are proportional and the included angles are congruent, then the triangles are similar.

The answer is (C) Similar - SAS.

To learn more about similar triangles;

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#12, what is this answer ?

Answers

Answer:

joan chris martin sara

Step-by-step explanation:

The equation 2x-7=5+x has exactly one solution. True or false

Answers

Answer:

True

Step-by-step explanation:

x=5+7=12

The only solution is x=12.

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