Describe the general properties of rotations. Include a discussion of the properties of rigid transformations ,and line segments connecting corresponding points to each other and to the center of rotation

Answers

Answer 1

Answer:

A rotation is a rigid transformation, sometimes called an isometric transformation, that moves every point of the pre-image through an angle of rotation about the center of rotation to create an image. Rotations preserve size, rotations of 360 map a figure to itself, and lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal length.

Step-by-step explanation:

Here man this is right

Answer 2

Answer:

Here is the sample response

Step-by-step explanation:

Sample Response: Rotations are rigid transformations, which means they preserve the size, length, shape, and angle measures of the figure. However, the orientation is not preserved. Line segments connecting the center of rotation to a point on the pre-image and the corresponding point on the image have equal length. The line segments connecting corresponding vertices are not parallel.


Related Questions

the angle of elevation of the top of an elevator pole to a man standing 10m from it is 60°. find the height of the pole

Answers

Answer:

10√3m

Step-by-step explanation:

Given :-

Angle of elevation = 60° Distance between man and pole = 60°

We need to find the height of the pole . We are given here base. Therefore using ratio of tan ,

=> tan 60° = p/b

=> √3 = h / 10 m

=> h = 10 m× √3

=> h = 103 m

Please help
Linear Pairs of Angles
Use the value of x to find the
measure of Angle 1.
X = 25
Z1 = [?]° Z2 = [ 1°
5x - 5 2x + 10
22=0

Answers

Answer:

5x-5

This equal : 120

2x+10

the second is 60

For every person who walked, there were forty-four who drove. If 270 made the trip, how many walked? PLEASE HELP! NO SPAMMING OR I WILL REPORT!

Answers

For every person that walked there were 12 who drove and if the 270 made the trip then 87 walked

The local theater sells tickets to its plays at a rate of $38 each. Patrons who attend multiple shows are encouraged to buy an annual membership for $80. Members are able to buy tickets at a discounted rate of $20 each. Roger expects to attend 6 shows this year. Grace expects to attend 4 shows. Who would benefit from buying a membership this year?
neither Grace nor Roger
only Grace
only Roger
both Grace and Roger

Answers

Answer:

Roger

Step-by-step explanation:

Since he is attending more shows, he will benefit. He will save a net amount of $40

Answer:

roger

Step-by-step explanation:

If f(x) = x3 + 5, then what is the remainder when f(x) is divided by x + 3?

Answers

Answer: -22

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

Explanation:

You could use synthetic division or polynomial long division to find the answer, but a much quicker way is to apply the remainder theorem.

That theorem says that if we divide p(x) over (x-k), then the remainder is p(k).

We're dividing over x+3, or x-(-3), so we can see that k = -3 in this case.

Plug this into the function

f(x) = x^3+5

f(-3) = (-3)^3 + 5

f(-3) = -27 + 5

f(-3) = -22 is the remainder

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

If you want to use polynomial long division or synthetic division, then check out the diagram below.

Determine whether the equation is a linear equation. If so, write the equation in standard form.
a) y = 2x – 3

b) + =

c) 4x = 2y

Answers

Step-by-step explanation:

The general form of a linear equation is given by :

y = mx +b

Where

m is the slope

b is the y-intercept

(a) y = 2x - 3

It is in the form of a linear equation.

Standard form, y =2x+(-3)

(b) The equation is 4x = 2y

or

2y = 4x

y = 2x + 0

It is in the form of a linear equation with slope of 2 and y-intercept of 0.

Please help !

What is 92% of 17?











Answers

15.64

To solve: (92x17)/100

Answer:

15.64

Step-by-step explanation:

92% of 17 we can write it like this!

[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]

92% goes in part, 17 goes in whole then 100% below 92!

[tex]\frac{92}{100} =\frac{x}{17}[/tex]

Then, 17 × 92 = 1,564 ÷ 100 = 15.64

A watch was purchased for Rs. 150 and sold for Rs.300. Find the profit percent.

a.150%
b.50%
c.100%
d.15%

Answers

Answer:

c. 100%

Step-by-step explanation:

profit or loss = (sale price - purchase price)/(purchase price) * 100%

profit or loss = (Rs. 300 - Rs. 150)/(Rs. 150) * 100%

profit or loss = (Rs. 150)/(Rs. 150) * 100%

profit or loss = 1 * 100% = 100%

Since the result is positive it is a profit.

Answer: The profit was 100%.

Will mark brainliest!

Which of the following is the result of using the remainder theorem to fin F(-2) for the polynomial function F(x)=-2x^3+x^2+4x-3?

A. -23
B. 9
C. -11
D. 3

Answers

Answer:

B

Step-by-step explanation:

To find f(- 2) substitute x = - 2 into f(x)

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

        = - 2(- 8) + 4 - 8 - 3

        = 16 + 4 - 8 - 3

        = 9 → B

I need help with my geometry work!

Answers

Answer:

43 degrees

Step-by-step explanation:

Sasha and Donnel run separate lawn care business. Sasha's charge is represented by
the curve and Donnel's is represented by the line. Sasha charges $1 per meter
square of lawn, and Donnel charges $1 per perimeter side.
Choose the appropriate equation for Sasha and Donnel respectively:
Oy= 4.rº, y
y = 0
Oy= 42, y=
22
Oy= 2², y = 42
Oy= x, y= 42

Answers

Can you edit it because I don’t understand

Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round is 14 feet and it takes 6 seconds for it
to make a complete revolution? Round the solutions to two decimal places.

Answers

Step-by-step explanation:

Given that,

The diameter of the merry-go-round, d = 14 feet

Time taken, t = 6 seconds

Radius, r = 7 feet

The linear speed of the merry-go-round is given by :

[tex]v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s[/tex]

Also,

[tex]v=r\omega[/tex]

Where

[tex]\omega[/tex] is the angular speed

So,

[tex]\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s[/tex]

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.

help please asap ASAP ASAP ASAP PLEADEEEEEEEEE​

Answers

SOLUTION OF TRIANGLE:

a i) use this formula, a² = b² + c² - 2bc cos A

a² = 8² + 10² - 2(8)(10) cos 60
= 84
a = 9.17 cm

UW = 9.17 cm

ii) use formula no 12 as attached :

sin
to solve this,

( sin 40 / 11 ) x 9.17 = 0.5358511

press shift sin on ur calc & the answer is :


FUNCTION

a) f(x) = x-3
g(x) = x²-1

i) f(6) = 6-3

substitute x with the value given in the bracket into equation

f(6) = 6-3
= 3

ii) to do inverse function use this formula :

u = f(x)
u = x - 3

and then make x as the subject

x = u + 3

after that, just change u to x

f-1(x) = x + 3

iii) f [ g(2) ] = f [ g(-2) ] = 0

g(2) = (2)² - 1 g(-2) = (-2)² - 1

= 4 - 1 = 4 - 1
= 3 = 3

f(3) = 3-3
= 0





What are the x- and y- intercepts for the graph of 5x-2y= 20

Answers

Answer:

x intercept: 4    y intercept: -10

Step-by-step explanation:

Use desmos graphing calculator :)

In triangle FGH, angle G is 30 degrees and angle H is 100 degrees. What is the measure of angle F? * 1 point 50 degrees 70 degrees 130 degrees 30 degrees

Answers

Mark brainlist please!

Answer is 50 degrees

Since,

measure of angle F + measure of angle G + measure of angle H = 180

30 + 100 + measure of angle F = 180

Measure of angle F = 180 - 130

Measure of angle F = 50 degrees

Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Y=5/1 -2

Step-by-step explanation:

I dont know if u can read the answer but its 5 over 1 and thy Y-int is -2

Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
4x5 + 3x3 – 7x

Answers

Answer:

Name:- Trinomial

Degree:- 5 [ the highest power of x is 5 ]

hope it is helpful to you

1/2x+1/3y=7
1/4x+2/3y= 6
What is the solution of the system shown?

Answers

yu should use photo math tbh cause it can get yu any answer yu want have a good day

Need help on this question on edge please










Answers

Answer:

D. (x+7 , y+4)

Step-by-step explanation:

x values increase by 7

y values increase by 4

what’s the area of 4cm
2cm
4cm
Rcm
11 cm
2 cm

Answers

Answer:

If the area of a square = 4cm^2

then the side length of = √4 = 2 cm

Alexander has a square-shaped basket of apples. The
basket covers the area of 36 feet^2
. Find the length of any
side of the basket?

Answers

Answer:

6 ft

Step-by-step explanation:

Side = √area = √36 = 6 ft (we have to find a positive number that multiply by itself gives 36

Which of the following could not be the graph of a function of X?

Answers

Answer:

D

Step-by-step explanation:

A function cannot have to values of y for a same x, and he only which have it is the graph D

The answer to your question is d.

HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE

Answers

The correct answer is x = 6

At What values of X, does FX equals zero?

Answers

Answer:

the value at which f(x)=0 are the zeros of the function f(x). The graph of such a function will crosses x-axis at that point and the point is (x,0).

Step-by-step explanation:

A teacher recorded the number of days her students went on vacation. Which statements describe the data? Select all that apply. Please help

Answers

Answer:

The students went on vacation for average 40 days.

The high school students went for more days than college students.

Step-by-step explanation:

The data shows number of students who went for vacation. The data class frequency shows that students who are in high school went for more days in vacation than college students. The students went for average of 40 days on vacation.

What is the median of this data set? {22, 5, 9, 1, 7, 3) Enter your answer in the box median =​

Answers

Answer:

7 is the answer to your question

The equation of a circle is (x+8)2+(y-5)2=14. What are the coordinates of the center of the circle?

Answers

Answer:

(-8,5)

Step-by-step explanation:

The standard form of the equation of a circle is expressed as;

(x-a)^2+(y-b)^2 = r^2 where;

(a, b) is the centre

r is the radius

Given the equation (x+8)^2+(y-5)^2=14.

Compare the two expressions

-a = +8

a = -8

Similarly;

-b = -5

b = 5

Hence the centre of the circle is at (-8,5)

help please i don’t know the answer

Answers

Answer:

[tex]6A=8B=6\left[\begin{array}{ccc}-4&-1&-9\\-9&6&9\\-1&-1&3\end{array}\right][/tex] [tex]-8\left[\begin{array}{ccc}-10&-2&-5\\9&-7&-1\\9&-4&2\end{array}\right][/tex]

[tex]=\left[\begin{array}{ccc}-24&-6&-54\\-54&36&54\\-6&-6&18\end{array}\right][/tex] [tex]-\left[\begin{array}{ccc}-80&-56&-40\\72&-56&-8\\72&-32&16\end{array}\right][/tex]

[tex]=\left[\begin{array}{ccc}56&50&-14\\-120&92&62\\-78&26&2\end{array}\right][/tex]

[tex]So,~ A ~is ~your~ answer~[/tex]

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

hope it helps..

have a great day!!

Question 4 of 10
The mean of 100 numerical observations is 47.83. What is the value of the
sum of all 100 numbers?
O A. 47.83
O B. 4783
O C. 0.4783
O D. 478.3
O E. 4.783

Answers

Answer:

B; 4,783

Step-by-step explanation:

To find the sum, we have to multiply the number of observations by the mean

Therefore, we simply have the sum calculated as follows;

100 * 47.83 = 4,783

la figure ci-dessus représente une pyramide du sommet S.
Sa base le rectangle EFGH et sa hauteur SO, tel que O est le centre
du rectangle EFGH.
PETIT PLUS: SE=6.5 cm , EF= 4 cm , FG=3cm.
1)- calculer la distance EG.
2)-Montrer que: SO=6 cm
3)-Calculer le volume de la pyramide SEFGH
SVP JE DOIS LE RENDRE DEMAIN .
ET MERCI

Answers

The answer is going to be option 3) - calculer le volume de la pyramid SEFGH

Answer:

Step-by-step explanation:

Voir le diagramme ci-attaché.

1) Distance EG

À l'aide du théoreme Pythagore, EG^2 = EF²+FG² = 4²+3² = 25

=>  EG = sqrt(25) = 5

2) Distance SO

Par la symétrie, EO=OG=(EG/2)=5/2 = 2.5

Encore, à l'aide du même théoreme,SE^2 = SO²+EO²

SO^2 = SE² - EO² = 6.5²-2.5² = 42.25 - 6.25 = 36

SO = sqrt(36) = 6  QED

3) Volume de la pyramide

V = (Aire de la base * hauteur ) /3

= (EF * FG) * SO /3

= (4*3) * 6 /3

= 24 cm³

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