In the regular octagon shown below, which of the following is the minimum angle of rotation about center point C will carry the figure onto itself?
1) 15°
2) 30°
3) 45°
4) 90°

In The Regular Octagon Shown Below, Which Of The Following Is The Minimum Angle Of Rotation About Center

Answers

Answer 1

Answer: 4)90˚

Step-by-step explanation:

(90˚ is more towards the middle

Answer 2

A regular octagon is a shape with 8 congruent sides.

The minimum angle of rotation is 45 degrees

The number of sides of a regular octagon is:

[tex]\mathbf{n = 8}[/tex]

The total angle at the center of the regular octagon is:

[tex]\mathbf{\theta = 360}[/tex]

So, the minimum angle of rotation is calculated as follows:

[tex]\mathbf{\alpha = \frac{\theta}{n}}[/tex]

This gives

[tex]\mathbf{\alpha = \frac{360}{8}}[/tex]

[tex]\mathbf{\alpha = 45}[/tex]

Hence, the minimum angle of rotation is 45 degrees

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Related Questions

PLEASE HELP!


Compare the two expressions using <, >, or =. For each, explain how you can determine the answer without calculating.


1. 100 x 8 ____ 25 x (4 x 7)


2. 36 elevens ____ 40 elevens - 3 elevens

3. 12 x 24 ____ 6 twenty fours, doubled


Answers

Answer:

1. >

2. <

3. =

Step-by-step explanation:

100x8=800, 4*7=28, multiplied by 25 is 700, therefore making 800 greater than 700. Whenever comparing two multiplication problems, multiplying large numbers produces large results, so whichever starts larger will have an end result that is larger. 100 was large and it is smaller to its counter 25.

36 elevens really means 11x36, which is 396. 40 elevens really means 40x11, which is 440 minus 11x3 which is 407. 407 is greater than 396. The same logic applies here as the previous answer, the only difference is that the removal of three elevens is still larger than 36 elevens in this case.

12x24=288, 6x24=144, doubled makes it 288. In this case, the six is half of the twelve to begin with and then is made up for later by the fact that it is doubled.

When I solve math questions like these, I ignore the fact that it doesn't want a mathematical answer, do the math anyway and pull logic from it. (If your teacher checks, do it on a separate piece of paper, and then toss it.)

Solve the proportion

Answers

b= 1/8
just put the y on the side and the numbers on the other side and that’s it

Write an equation of the line shown; (-2,-2), (2,2)

Answers

Answer:

Hi there! :)

Step-by-step explanation:

Lesson: Slope/ and slope-intercept form

Slope is 0

Final answer is 0

*The answer must have a positive sign.*

I hope this helps you!

Have a nice day! :)

Use the table to answer the following question. What is an equation that describes this relationship?

Answers

The answer is A as you use x to get y using the equation y = 8-7x e.g 8 - 7 X 0 = 8 and 8 - 7 X 1 =

The equation that describes the relationship is option A. y = 8 - 7x.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Given are the values of x and y.

x : 0  1  2  3

y : 8  1  -6  -13

Equation of a line can be written as y = mx + d in slope intercept form.

m is the slope and d is the intercept along Y axis.

Slope of a line with two points (x, y) and (x', y') is,

Slope = (y' - y) / (x' - x)

Consider the points (0, 8) and (1, 1).

Slope, m = (1 - 8) / (1 - 0) = -7 / 1 = -7

Since we already have the point (0, 8), y intercept, d = 8.

Substituting these, we get the equation of line as,

y = -7x + 8 or

y = 8 - 7x

Hence the equation of the line is y = 8 - 7x.

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what makes two angles exterior versus interior ?

Answers

Answer:

Any angle that is on the inside of a shape is called an interior angle.

Step-by-step explanation:

Any angle that is on the outside of a shape is called an exterior angle. An exterior angle is made by extending one of the lines of the shape beyond the intersection point. ... Notice that the two angles make a straight line.

Simplify the following expression, then evaluate when x=1:


-8x + 5 - 2x - 4 + 5x

Answers

(-2x-2) is the correct answer

PLEASEEEEE HELPPPPP ASAPPPP

Answers

Answer:

y=4/-5x+2

Step-by-step explanation:

Slope is rise over run so if you start at one of the points given and go up 4 and to the left 5 you get the next point. Y-intercept is 2 where the line crosses the y line.

х = 3y — 1
3х – бу = 12

Answers

Answer: x=14 and y=5

Work:

Answer:

1000000

Step-by-step explanation:

29292929292

sjsksksksn2292020wmz

Help me pleaseeee!!!
Solve the equation -3x^2+2x+4= -x-3 by writing a linear-quadratic system and solving using the intersection feature of a graphing calculator. Round to the nearest hundredth
A. x= -2.44 and x=3.12
B. x=-1.63 and x=4.44
C. x=-1.11 and x=2.11
D. x=-2.61 and x=0.42

Answers

Answer: i did c when i had the same question but it was just a guess

Step-by-step explanation:

The solution of an equation is x= -1.11 and x = 2.11.

What is a Quadratic equation?

A polynomial equation of the second degree is quadratic, which means that at least one of its terms must be squared. Quadratic equations are another name for it. The quadratic equation generally looks like this:

ax² + bx + c = 0, where x is a numerical coefficient and a, b, and c are unknown variables.

Given equation -3x² + 2x + 4 = -x - 3

simplify the equation we get

3x² - 2x - 4 -x -3 = 0

3x² - 3x - 7 = 0

The equation is solved by the Quadratic formula

x =  (-b ± [tex]\sqrt{b^{2} - 4ac }[/tex])/2a

a = 3, b = -3, c = -7

x = [-(-3) ± [tex]\sqrt{(-3)^{2} - 4(3)(-7)}[/tex]]/2(3)

x = (3 ± 9.643)/6

taking positive sign

x = 12.643/6 = 2.1072 = 2.11

taking negative sign

x = -6.643/6 = -1.1072 = -1.11

Hence the values of x are -1.11 and 2.11

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Joshua went kayaking. It cost him $ 15 to rent the kayak. It also cost $ 6 for each hour spent on the lake kayaking. Joshua spent 2 $\frac{1}{2}$
1
2​​ hours on the lake. How much was his total bill for the kayak rental and hours kayaking on the lake?

Answers

Step-by-step explanation:

The total bill will be the sum of the rent and the cost for the total time spent.

$15 + $6 * 2.5

$15 + $15

$30

Find the area of the rhombus.
7.5 yd
13 yd
13 yd
7.5 yd
[ ? ] yd2

Answers

Answer:

195

Step-by-step explanation:

Three times the sum of four and a number is twice the number.

Answers

Answer:

24

Step-by-step explanation:

Answer:

Step-by-step explanation:

Three times four = 12

And if the second number is 2 then

12 x 2 = 24 which is twice of 12

A shop owner offered a 20% discount off the regular price of a mirror. The amount of the discount is $3.
What is the regular price of the mirror?
A
$15
B.
$6
C.
$9
D.
$18

Answers

Answer:

A. 15

Step-by-step explanation:

Multiply .2 by each value you have.

So 0.2 * 15=3

0.2 * 6=1.2

0.2 * 9=1.8

0.2 * 18=3.6

True or False?
The equation ?
15 has two solutions,

Answers

Answer:false

Step-by-step explanation:

The answer is false duh

what's the approximate value of x​

Answers

Answer:

I think it's c. dndndbxbxhebd

Please help :))) and explain how to do it if you can but if you can’t it’s fine

Answers

Step-by-step explanation:

yfttuo yfttuo p9ntknknt8oy9uy

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Ratio Conversion Table
mile : yard 1 : 1,760
yard : foot 1 : 3
foot : inch 1 : 12

Using the conversion table, match the equivalent measurements.

2 miles
0.2 miles
372 feet
348 inches
124 yards
352 yards
1,016 yards
10,560 feet
29 feet
PLEASE HELP WILL GIVE TOP MARKS TO FIRST ANSWERER!

Answers

The correct choices are 29 feet = 348 inches, 352 yards = 0.2 miles, 372 feet = 124 yards, and 2 miles = 10560 feet.

What is unit conversion?

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

We have the ratio conversion table given.

mile: yard = 1: 1,760

yard: foot = 1 : 3

foot: inch = 1: 12

From the given conversion table:

29 feet = 29×12 inches

29 feet = 348 inches

Similarly,

352 yards = 0.2 miles   (1 yard = 1,760 miles)

372 feet = 124 yards

2 miles = 10560 feet  

Thus, the correct choices are 29 feet = 348 inches, 352 yards = 0.2 miles, 372 feet = 124 yards, and 2 miles = 10560 feet.

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Add. (2n+4)+(4a+2) (2n+4)+(4a+2)

Answers

Answer: 8an + 20a + 6n + 14

Step-by-step explanation:

Eric spends 45 minutes getting to work and 45 minutes returning
home. What percent of the day does Eric spend commuting?
plz help and if you know the awnser pleasee tell me how to get thereee

Answers

Answer:

6.25% of the day commuting

Step-by-step explanation:

45+45=1 hour 30 minutes

1.5/24

0.0625

6.25%

Answer:

6.25% of the day is spent commuting

Step-by-step explanation:

45+45=90 minutes

turn this into hour form because you want to make it easier to find out how much of a 24-hour day is spent commuting so 90 minutes = 1.5 hours

then you use 24 hours as the denominator since that is how many hours are in the day so 1.5/24=0.0625

to get this into a percentage, you multiply by 100 so 0.0625*100=6.25%

you can also solve this using solely minutes but converting to hours makes it easier in my opinion

i need help to solve please

Answers

Answer:

The picture cuts off the rest of he question please take another.

Step-by-step explanation:

$d/20 hrs $180 for 12 hrs (answer is $300)


true or false help meh

Answers

Answer:

false

Step-by-step explanation:

Tbh I would say false

Simplify
8x - (4x – 3x)

Answers

Answer:

8x - 1x

Step-by-step explanation:

Just do the stuff in the ()'s  first, for this it's is 4x - 3x, then rewrite the problem and it is  simplified

Jack works after school. Each day he is paid a set amount, plus an hourly wage.

Hours 1 1.5 2 2.5 3
Pay 18 23 28 33 38

Assume Jack works from 2:30 P.M. to 7:00 P.M. Using the function f(x) = 10x + 8, how much would he earn?
A. $33
B. $35.50
C. $45
D. $53

Answers

Answer:

B.35.50

Step-by-step explanation:

These tables of ordered pairs represent some points on the graphs of lines m and n.

Which system of equations is represented by lines m and n?


A. 2x−9y=187x−2y=14

B.x−3y=65x−y=10

C.x−8y=165x+2y=20

D.3x−4y=242x+3y=−6

Line m
x y
−3 −3
0 −2
6 0
Line n
x y
−3 −25
1 −5
6 20

Answers

Answer:

B. x−3y=6 5x−y=10

Step-by-step explanation:

I just took a test with the same problem on it.. I got it wrong but this is what the test said was right.

The system of equations is represented by lines m and n are x - 3y = 6 and 5x − y = 10 option (B) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

These tables of ordered pairs represent some points on the graphs of lines m and n.

Line m

x y

−3 −3

0 −2

6 0

The equation of the line:

y + 2 = (-2+3)/3[x]

y + 2 = x/3

3y + 6 = x

x - 3y = 6

Line n

x y

−3 −25

1 −5

6 20

The equation of the line n:

5x − y = 10

Thus, the system of equations is represented by lines m and n are x - 3y = 6 and 5x − y = 10 option (B) is correct.

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A man is standing next to a 24 foot tree. the man is 7 feet tall with a shadow of 3 feet. how long is the shadow of the tree

Answers

Answer:

First we divide 24 by 7.

24÷7=3.42

now we multiply 3.42 by 3 since that was the length of the mans shadow

3.42x3=10.26

The trees shadow is 10.26 feet long.

By the way, that is a very tall man

Step-by-step explanation:

2037 + 135.5x = 5560 what is x?

Answers

Answer:

x=26

Step-by-step explanation:

Wyatt is a high school basketball player. In a particular game, he made some three point shots and some two point shots. Wyatt made a total of 12 shots altogether and scored a total of 32 points. Write a system of equations that could be used to determine the number of three point shots Wyatt made and the number of two point shots he made. Define the variables that you use to write the system.

Answers

Let x= the number of three point shots made}

Let y= the number of two point shots made}

3x+2y=32  first eqn

y=12-x second eqn

A system of equations for the number of three point and two point shots Wyatt made is:

[tex]3x+2y=32 [/tex]  

[tex]x+y=12[/tex]  

Let the three point shots be c.Let the two point shots be b.

Given the following data:

Total shots = 12 shots.Total points = 32 points.

What is a system of equations?

A system of equations refers to an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

Translating the word problem into an algebraic expression, we have;

For the number of three point and two point shots Wyatt made:

[tex]3x+2y=32 [/tex]    ...equation 1.

[tex]x+y=12[/tex]     ...equation 2.

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HELP ME ASAP!! I WILL TRY TO MARK YOU

Answers

Answer:

d

Step-by-step explanation:

I divided it and looked at your answers

what's the answer to 7x-x

Answers

Answer:

6x

Step-by-step explanation:

7x - x

X by itself is the same thing as 1x.

So, if we rewrite the equation using 1x instead of just x:

7x - 1x

Now, we can subtract like we normally would.

7x - 1x = 6x

Find the slope of the line that passes through (2,2) and (9,10)​

Answers

Answer: you just take the first set of points and subtract the second from it.

Step-by-step explanation: 2-9=-7 and 2-10=-8

the new set would be (-7,-8) hope this helps

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