A sequence of transformations is described below. A reflection over a line \overleftrightarrow{PQ} PQ ​ P, Q, with, \overleftrightarrow, on top A rotation about the point PPP Another reflection over \overleftrightarrow{PQ} PQ ​ P, Q, with, \overleftrightarrow, on top A rotation about the point QQQ Which of the following must be preserved under this sequence of transformations? Choose 1 answer: Choose 1 answer: (Choice A) A Angle measures only (Choice B) B Segment lengths only (Choice C) C Both angle measures and segment lengths (Choice D) D Neither angle measures nor segment lengths

Answers

Answer 1

Answer:

The correct option is;

(Choice C) Both angle measures and segment lengths

Step-by-step explanation:

The given transformations are;

The reflection over the line, [tex]\overleftrightarrow{PQ}[/tex], with, A rotation about the point P. Another reflection over [tex]\overleftrightarrow{PQ}[/tex]. A rotation about the point Q, we have;

The transformations involve changes only in the orientation and location of the pre-image, which remain rigid, therefore, there are no changes in the segment lengths or angle dimensions

Therefore, the correct option is,  both angle measures and segment lengths.

Answer 2

(Choice C) C Both angle measures and segment lengths


Related Questions

you are working with a 30-60-90 right triangle. its longer leg measures 6. What is the length of the hypotenuse

Answers

Answer:

4sqrt(3) = 6.928

Step-by-step explanation:

Ratio of the lengths of the sides of a 36-60-90 triangle:

short leg : long leg : hypotenuse

     1         :  sqrt(3)   :       2

The short leg is sqrt(3) times shorter than the long leg.

The hypotenuse is twice the short leg.

long leg = 6

short leg = 6/sqrt(3)

hypotenuse = 12/sqrt(3)

12/sqrt(3) * sqrt(3)/sqrt(3) = 12sqrt(3)/3 = 4sqrt(3)

If EH = 23, calculate AB.


Youngblood say you want me back in your life...

Answers

Answer:

2/4 = 23/AB

1/2 = 23/AB

AB= 46

Hope it helps ^_^

can someone help me with this graphical method equation 3x + 5y = -2 7x - 8y = 15

Answers

X=1 and y=-1

Hope this helps :)

Answer:

x = 1

y = -1

Step-by-step explanation:

3x + 5y = -2

7x - 8y = 15

=> -8y = 15 - 7x

=> -y = 15/8 - 7/8x

=> y = -15/8 + 7/8x

3x + 5(-15/8 + 7/8x) = -2

=> 3x -75/8 + 35/8x = -2

=> 24/8x - 75/8 + 35/8x = -16/8

=> 59/8x - 75/8 = -16/8

=> 59/8x = 59/8

=> x = 59/8 x 8/59

=> x = 472/472

=> x = 1

x = 1

So, 3x + 5y = -2

=> 3 (1) + 5y = -2

=> 3 + 5y = -2

=> 5y = -5

=> y = -5/5

=> y = -1

So, x = 1

=>  y = -1

X^2- 4x- 21 as a product of binominal factors

Answers

Answer:

( x-7) (x+3)

Step-by-step explanation:

X^2- 4x- 21

What two numbers multiply to -21 and add to -4

-7 * 3 = -21

-7+3 = -4

( x-7) (x+3)

What makes the value of x makes the equation true?
[tex]7x = 80 + 9x[/tex]

Answers

Answer:

[tex]x=-40[/tex]

Step-by-step explanation:

You need to find the value of x. To do this, you need to isolate the variable:

[tex]7x=80+9x[/tex]

Move the 80 to the left side of the equation using the reverse operation of '+', which is subtraction:

[tex]7x-80=80-80+9x\\\\7x-80=9x[/tex]

Now move the coefficient, 7x, to the right side of the equation using the reverse operation of addition (because it's a positive number), which is subtraction:

[tex]7x-7x-80=9x-7x\\\\-80=2x[/tex]

Now isolate the variable using reverse operations. The coefficient can also be seen as [tex]2*x[/tex] , so the opposite of multiplication is division. Divide by 2, remembering to do the same on both sides of the equation to keep it stable:

[tex]-\frac{80}{2}=\frac{2x}{2}\\\\ -40=x[/tex]

The value of x is -40.

:Done

There are approximately fifty five million metric tons of apples grown each year. It has been estimated that half of all the apples grown are eaten fresh. Approximately how many metric tons of apples are eaten fresh

Answers

Answer:

Twenty-seven and a half million metric tons of apples are eaten fresh.

Step-by-step explanation:

The amount of metric tons of apples that are eaten fresh is equal to the half of the total amount of metric tons. That is:

[tex]m = \frac{55,000,000\,m-ton}{2}[/tex]

[tex]m = 27,500,000\,m-ton[/tex]

Twenty-seven and a half million metric tons of apples are eaten fresh.

The formula e= 3n can be used to relate the number of sides (n) in the base of a prism to the number of edges (e) that the prism has.

a) Make n the the subject of the formula.

Answers

Step-by-step explanation:

e=3n

where e =edges and n= number of sides

n= e/3

Trains A and B, 200 km apart on the same straight track, travel at speeds of 50 km/hr and 65 km/hr respectively. At the end of 1 hour, the distance between the trains could not

Answers

Answer:

Ok, at the beginning the distance between the trains is 200km:

IPa(0s) - P(0s)I = 200km.

where Pa is the position of train A, and Pb is the position of train B.

Now, the speed of train A is:

Sa = 50km/h

Sb = 65km/h

Now, remember the relation:

Distance = Speed*time.

So, in one hour, the displacement of train A is:

Distance = 50km/h*1h = 50km

The displacement of train B is:

distance  = 65km/h*1h = 65km.

Now, if at the beginning train A is 200km ahead of train B, then we have:

Pa - Pb = (Pa(0s) + 50km) - (Pb(0s) + 65km)

= (Pa(0s)  - Pb(0s)) + (50km - 65km) = 200km - 15km = 185km.

Now, if train B was 200km ahead of train A, we have:

Pb - Pa = (Pb(0s) + 65km) - (Pa(0s) - 50km) =

(Pb(0s) - Pa(0s)) + (65km - 50km) = 200km + 15km = 215km

10 points to the person who answers this question.

Answers

Answer:

your answer is

2 X l+b

2 X 6x + 3x

8x + 10...

Let tan(x)=2/5 What is the value of tan(π−x) ?

Answers

Answer:

tan(π−2/5)

decimal form -0.42

Answer:

-0.42

Step-by-step explanation:

I need helps will give you a good rating.

Answers

Answer: x = 3

Step-by-step explanation:

Sqrt(x+7) - 1  = x

Sqrt(x+7) = x + 1

x+7 = x^2 + 1

x = x^2 - 6

x=3

please help me on this

Answers

56

a = 18

18 and 43 is 124

180 minus 124 is 56

there are 180 degrees in all
63 + 99 = 162
180 - 162 = 18 so the missing length is 18

What angle does an arc 6.6cm in length subtends at the centre of a circle of radius 14cm. Use π = 22/7)

Answers

Answer:

STEP 1: Find the circumference:

Circumference = 2πr

Circumference = 2π(14) = 28π cm

............................................................................................

STEP 2: Find the length of the arc:

Length of the arc = 36/360 x 28π

Length of the arc = 8.8 cm

.............................................................................................

Answer: The length of the arc is 8.8 cm

............................................................................................

hope it helpssss

Mark it as brilliant answer plzzz

ФωФ

Answer:

27°

Step-by-step explanation:

arc length = circumference × fraction of circle

let x be the central angle, then

2πr × [tex]\frac{x}{360}[/tex] = 6.6

2 × [tex]\frac{22}{7}[/tex] × 14 × [tex]\frac{x}{360}[/tex] = 6.6

88 ×[tex]\frac{x}{360}[/tex] = 6.6 ( multiply both sides by 360 )

88x = 2376 ( divide both sides by 88 )

x = 27

Thus central angle is 27°

I have no chair, no church, no philosophy, I lead no man to a dinner-table, library, exchange, But each man and each woman of you I lead upon a knoll, My left hand hooking you round the waist, My right hand pointing to landscapes of continents and the public road. Which statement best describes how these lines reflect the theme of the poem?

Answers

This question is missing the options, here is the complete question:

Read the quotation from "Song of Myself."

I have no chair, no church, no philosophy,

I lead no man to a dinner-table, library, exchange,

But each man and each woman of you I lead upon a knoll,

My left hand hooking you round the waist,

My right hand pointing to landscapes of continents and the public road.

Which statement best describes how these lines reflect the theme of the poem?

A. They indicate that Whitman is more interested in communicating with individuals than society.

B. They show Whitman’s sociability and his interest in human nature.

C. They reflect Whitman’s desire to share his love of the wilderness.

D. They suggest that Whitman views all individuals as equals who should communicate with each other as such.

The answer to this question is A. They indicate that Whitman is more interested in communicating with individuals than society.

Explanation:

In the poem "Song of Myself", Walt Whitman focuses on recognizing his value as an individual and the value of other individuals in society. In the section presented, the author shows the importance of communicating and interacting with individuals as he explains "My left hand hooking you round the waist", which shows through figurative language the interaction between individuals. This is emphasized by the use of "each man and each woman" as Whitman does not refer to others as a group but recognizes individuality. Thus, the theme or message about the importance of individuals is reflected in these lines because "they indicate that Whitman is more interested in communicating with individuals than society."

Answer:

A: They indicate that Whitman is more interested in communicating with individuals than society.

Step-by-step explanation:

Edge 2021

Aileen is planning a huge graduation party for her
best friend, Melody. She decides to offer both beef
and chicken meals at the party. Each chicken meal
costs $4 and each beef meal costs $6. There will
be 150 people at the party, and the total cost of the
food is $700. How many chicken meals did Aileen
order?
A) 80
B) 100
C) 90
D) 110

Answers

Answer:

  B)  100

Step-by-step explanation:

Let c represent the number of chicken meals ordered. Then 150-c is the number of beef meals ordered, and the total meal cost is ...

  4c +6(150-c) = 700

  -2c = -200 . . . . . . . . subtract 900, simplify

  c = -200/-2 = 100

100 chicken meals were ordered.

Plz help ASAP PLZZZ!!!

Answers

Answer:

A. EF

Step-by-step explanation:

Answer:

EF

Step-by-step explanation:

The reason is because EF and BC are in the same plane

A woman sold an article for 200 GH cedis and made a profit of 25%. Find the cost price of the article.

Answers

Answer:

160

Step-by-step explanation:

x = original price

x+ 25% x = 200

Change to decimal form

x + .25x = 200

1.25x = 200

Divide each side by 1.25

x = 200/1.25

x =160

The original price was 160

What were Malcolm's and Ravi's maximum speeds?

Answers

Answer:

Malcom's maximum speed = 200 km/h

Ravi's maximum speed = 320 km/h

Step-by-step explanation:

Represent the maximum speed of Malcolm and Ravi with equation as follows:

Let Malcom's speed be x, and Ravi's speed by y.

The average of speed is said to be 260 km/h. An equation to represent this is: [tex] \frac{x + y}{2} = 260 [/tex]

[tex] x + y = 260*2 [/tex]

[tex] x + y = 520 [/tex] => equation 1.

We are also told that when Malcom's speed (x) is doubled it equal 80 km/hr more than Ravi's speed (y). An equation can be created for this, which is [tex] 2x = y + 80 [/tex]

[tex] 2x - y = 80 [/tex] => equation 2

Now that we have 2 equations as a system, solve for the values of x and y simultaneously.

Add both equations together to eliminate y

[tex] x + y = 520 [/tex]

[tex] 2x - y = 80 [/tex]

[tex] 3x = 600 [/tex]

[tex] x = \frac{600}{3} [/tex]

[tex] x = 200 [/tex]

Plug in the value of x into equation 1 to find y.

[tex] 200 + y = 520 [/tex]

[tex] y = 520 - 200 [/tex]

[tex] y = 320 [/tex]

Malcom's maximum speed = x = 200 km/h

Ravi's maximum speed = y = 320 km/h

the width of a rectangle is 3 less than twice length. the perimeter is 51 cm . what is the length and width of the rectangle.

Answers

Answer:

[tex]length = x[/tex]

[tex]width = 2x - 3[/tex]

[tex]perimeter = 2(x + (2x - 3))[/tex]

[tex]51 = 2(3x - 3)[/tex]

[tex]51 = 6(x - 1)[/tex]

[tex]x - 1 = 8.5[/tex]

[tex]x = 9.5cm[/tex]

[tex]length = 9.5[/tex]

[tex]width = 2x - 3 = 2(9.5) - 3 = 16cm[/tex]

Tres amigos quieren abrir una empresa dedicada al reciclaje de plasticos. Para eso deben contar con $72.000. Uno de los amigos aporto 1/3 de dinero necesario para abrirla, el segundo aporto una cantidad equivalente a los 5/6 del resto.¿cuanto dinero aporto el tercer amigo?¿Cual de los tres hizo el mayor aporte?¿cuanto mas puso en relación con que el que aporto menos?

Answers

Answer:

a) ¿cuanto dinero aporto el tercer amigo?

= $ 8,000

b) ¿Cual de los tres hizo el mayor aporte?

El segundo amigo hizo la mayor contribución.

c)¿cuanto mas puso en relación con que el que aporto menos?

El tercer amigo hizo la menor contribución

Step-by-step explanation:

De la pregunta, se nos dice:

Dinero total requerido: $ 72,000

El primer amigo contribuyó: 1/3 si el dinero era necesario

Por lo tanto, el primer amigo contribuyó:

1/3 × $ 72 000 = $ 24 000

El segundo amigo contribuyó con 5/6 del resto

La fracción que representa el resto = 1 - 1/3 = 2/3

Por lo tanto, el segundo amigo contribuyó = 5/6 de 2/3 = 5/6 × 2/3 = 5/9

La fracción de la cantidad de dinero que contribuyó el segundo amigo = 5/9

Por lo tanto, la cantidad que contribuyó el segundo amigo =

5/9 × $ 72 000 = $ 40 000.

a) ¿cuanto dinero aporto el tercer amigo?

Esto se calcula como:

$ 72,000 - ($ 24,000 + $ 40,000)

$ 72 000 - $ 64 000

= $ 8,000

Por lo tanto, el tercer amigo aportó $ 8,000.

b) ¿Cual de los tres hizo el mayor aporte?

Del cálculo anterior:

El primer amigo = $ 24,000

Segundo amigo = $ 40,000

Tercer amigo = $ 8,000

Por tanto, el segundo amigo hizo la mayor contribución.

c) ¿cuanto mas puso en relación con que el que aporto menos?

Del cálculo anterior:

El primer amigo = $ 24,000

Segundo amigo = $ 40,000

Tercer amigo = $ 8,000

Por lo tanto, el tercer amigo hizo la menor contribución.

Answer both for brainiest, 40 points, and thanks with 5 stars

Answers

Answer:

17) #1 = 5

#2 = 49

18) Median= 50.5

Range = 88

Step-by-step explanation:

17) #1 - There are 5 3’s on the leaf side.

#2 - The number that is shown the most times is 49

18) There are 30 numbers in the stem and leaf plot, so the median falls between numbers 15 and 16.  In this plot, those numbers are 50 and 51.  So the median is 50.5.

The data ranges from 10 to 98.  98-10=88

The value root of 46 of lies between which two consecutive integers

Answers

Answer:

6 and 7

Step-by-step explanation:

draw the graph of linear equation 5y = 3x + 18 on a cartesian plane. From the graph check weather (-2,4) is the solution of the linear equation or not PLS URGENT ANSWER

Answers

Answer:

The point (-2, 4) is not a solution of the linear equation, 5·y =  3·x + 18

Please find attached the required graph of the linear equation 5·y =  3·x + 18 written in the form y = 3/5·x + 18/5

Step-by-step explanation:

The given equation is 5·y = 3·x + 18, from which we have;

y = 3/5·x + 18/5

To draw the graph, we generate for vales of y corresponding to values of x as follows;

x,      y

-6,    0

-5,    0.6

-4,    1.2

-3,    1.8

-2,    2.4

-1,      3

0,      3.6

1,       4.2

2,      4.8

3,      5.4

4,       6

5,       6.6

6,       7.2

7,        7.8

8,        8.4

9,        9

10,      9.6

11,       10.2

12,      10.8

13,      11.4

14,       12

15,      12.6

16,      13.2

Therefore, when y = 0, x = -6, when x = 0, y = 3.6, when x = -2, y = 2.4, when y = 4, x = -2, x = 6

Therefore, the point (-2, 4) is not a solution of the linear equation, 5·y =  3·x + 18

if the probability of david passing his exam is 1/4 what is the probabilty of him failing​

Answers

Answer:

3/4

Step-by-step explanation:

4/4-1/4=3/4

i hoped this helped :)

Answer:

3/4

Step-by-step explanation:

Can you just answer this question quickly please what is the answer to 420 12 it is multiplication. thanks

Answers

Answer:

the answer to 420 times 12 is 5,040

Step-by-step explanation:

Answer: The answer would be 5040.

Step-by-step explanation:

Glass A measures 84 mm in diameter and 175 mm tall. Glass B measures 96 mm in diameter and 125 mm tall. Which glass holds more liquid? How much more?

Answers

Answer:

Glass A

Step-by-step explanation:

Volume = п r ² h

п = 3.14  aprox.

r = radius = diameter/2

h = tall

glass A

volume = 3.14 * (84/2)² * 175

volume = 3.14 * 42² * 175

volume = 3.14 * 1764 * 175

volume = 969318mm³

glass B

volume = 3.14 * (96/2)² * 125

volume = 3.14* 48² * 125

volume = 3.14 * 2304 * 125

volume = 904320mm³

Answer:

969318 > 904320

then:

Glass A holds more liquid

а
The marked price of a mobile is 25% above its cost price, When it is sold at a gain of
10%, the profit amounts to Rs 725. Find the marked price of the mobile.

Answers

Answer:

The marked price is Rs 823.86

Step-by-step explanation:

Let the cost price be Rs x. The marked price of the mobile is 25% above its cost price. Therefore:

The marked price = x + 25%(x) = 1 + 0.25x = 1.25x

When the mobile phone is sold at a gain of 10%. the profit is Rs 725, to find the cost price we use:

x + 10%(x) = 725

x + 0.1(x) = 725

1.1x = 725

x = 725/1.1 = 659.09

The cost price is Rs 659.09. Therefore the marked price is given as:

Marked price  = 1.25x = 1.25(659.09) = 823.86

The marked price is Rs 823.86

3 sides of the triangle are consecutive odd numbers. What is the smallest possible perimeter of the triangle ?

Answers

The sides are 3, 5, and 7 because 7 is less than 3 + 5, so it equals a triangle.

The smallest possible perimeter of such triangle would be 8.

What is triangle inequality theorem?

Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]

Given; 3 sides of the triangle are consecutive odd numbers.

The sides are 3, 5, and 7 because 7 is less than 3 + 5 so it equals a triangle.

The smallest consecutive odd numbers are 1, 3 and 5

Therefore, the smallest possible perimeter of such triangle = 8

Learn more about triangle inequality theorem here:

https://brainly.com/question/342881

#SPJ2

What does this mean? 20 points + brainleist! What other angle measures or side lengths can you determine using these added figures? List all the concepts and facts you use.

Answers

Step-by-step explanation:

The question has asked you to have another concepts or facts that can be used to find the other angles and measure of side length.

by looking the fig we can determine various sides and angles as all are joined together.

A company knows that if it sets the price of a product at p dollars, the number of units sold will be x million, where p = 2 - x. If the cost of the product is given by 0.25 + 0.5x million dollars. What price should be set to make a profit of $ 0.25 million?

Answers

Two Answers: p = 1.5 or p = 1

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

Explanation:

x = number of products, in millions, sold

p = price per product

R = revenue

R = (number of products sold)*(price per product)

R = x*p

R = x(2-x)

R = 2x-x^2

C = costs

C = 0.25 + 0.5x

F = profit

F = revenue - costs

F = R - C

F = (2x - x^2) - (0.25 + 0.5x)

F = -x^2 + 1.5x - 0.25

We want a profit of 0.25 million, so plug in F = 0.25 and solve for x

F = -x^2 + 1.5x - 0.25

0.25 = -x^2 + 1.5x - 0.25

0 = -x^2 + 1.5x - 0.25 - 0.25

-x^2 + 1.5x - 0.5 = 0

Use the quadratic formula to find the two solutions to be x = 0.5 and x = 1

If x = 0.5, then p = 2-x = 2-0.5 = 1.5

If x = 1, then p = 2-1 = 1

There are two price points  (p = 1.5 and p = 1) that lead to the same profit F = 0.25

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