The regular polygon below is to be rotated about its center. Which angle of rotation
would carry the figure onto itself?

Answer choices:
324°
150°
225°
300°

Answers

Answer 1

The shape of a decagon will remain the same when it is rotated through

its angle of rotational symmetry.

How to find the rotation?

The rotation about the center will carry a regular decagon back to itself is 36°.

Note the following

The angle of rotational symmetry of a decagon is the smallest angle that a decagon can be rotated by such that the image formed by the rotation coincide with the preimage;

A decagon has 10 sides, the interior angle of a regular decagon is given as follows;

Each interior angle =  (n-2)*180/10 = 144⁰

A decagon has a reflective symmetry, therefore, the lines of symmetry joining opposite vertices are straight lines.

The number of diagonals in a decagon = 5

Rotating through the vertex and opposite vertex of the diagonals gives the number of image of the rotation that is similar to the preimage of a decagon as ten.

Therefore, a rotation of  (360/10) = 36⁰, about the center will carry a regular decagon back to itself.

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The Regular Polygon Below Is To Be Rotated About Its Center. Which Angle Of Rotation Would Carry The

Related Questions

How do you graph exponential functions and logarithms?

Answers

Graphing exponential functions and logarithms involves understanding the key characteristics of these functions and how they are represented on a graph.

Asymptotes: The graph of an exponential function does not have any asymptotes.

Domain and range: The domain and range of an exponential function are all real numbers.

Increasing or decreasing: An exponential function is always increasing.

Shape: The graph of an exponential function is concave up.

y-intercept: The y-intercept is (0,1)

x-intercept: The x-intercept does not exist.

To graph an exponential function, you can start by plotting the y-intercept (0,1) on the graph. Then, you can use the information about the shape of the graph (concave up) and the increasing nature of the function to determine the general shape of the graph.

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Identify an irrational number between 7 and 8

Answers

We know that the square root of 2 is irrational. We also know its greater than 1, but less than 2, so lets add 6 to the square root of 2, which we know is greater than 7, but less than 8

Simplify and select the answer with the appropriate restrictions for the variables.

5x2−4x3x3

Answers

Answer:-4x/6 + 5x/2

Step-by-step explanation:

just combined it

A plumber charges $80 for a house call and $20 per hour for labor. If the plumber worked from 2:30 pm to 8:00 pm, how much does he earn?

Answers

Answer:

The plumber would earn $190 in 5 hrs and 30 mins

Step-by-step explanation:

- We know the plumber worked from 2:30-8:00 which is 5 hrs and 30 min [5.5 hrs]

- We know the plumber charges the client $80 for the call and $20/hr for the work

1. I multiplied $20 x 5.5= $110+80=$190

or you could just do 100 x 5.5 [but it would it work since the plumber is charging per hour]

Have a great day, hope this helped <3

Please help ASAP this is for a final test
A line which is perpendicular to this line would have a slope of ___.

Write your answer as a whole number or simplified fraction or improper fraction (not a decimal or mixed number). Use a / for a fraction bar.

Answers

Answer: I'm sorry bro i don't know

Step-by-step explanation:

-2/1 is the answer. Look at the points. It goes 2 down (-2) and 1 to the right (1). Slope is rise/run. So the answer is -2/1 or -2

7. Mai and Tyler are selling items to earn money for their elementary school. The school
earns w dollars for every wreath sold and p dollars for every potted plant sold. Mai
sells 14 wreaths and 3 potted plants and the school earns $70.50. Tyler sells 10
wreaths and 7 potted plants and the school earns $62.50.
This situation is represented by this system of equations:
[ 14w + 3p = 70.50
10w+7p = 62.50
Explain why it makes sense in this situation that the solution of this system is also a
solution to 4w + (-4p) = 8.00.

Answers

On solving the provided question we can say that - her in the equation  14w + 3p = 70.50 and 10w+7p = 62.50 , w = 12; p = 18

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

[tex]14w + 3p = 70.50 \\[/tex]

10w+7p = 62.50 ,

[tex]w = 12\\[/tex]

p = 18

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You decide to make 10 lb of a peanut-and-raisin mixture to sell at the class snack sale. You can buy peanuts for $2.50 per pound and raisins for $1.75 per pound. If you want to sell the mixture for $2 per pound, how many pounds of peanuts and how many pounds of raisins should you use

Answers

On solving the provided question, we can say that by  linear equation 10/3 pounds of peanuts and how many pounds of raisins should you use.

What is a linear equation?

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here,

the linear equation that is formed is  

10p +7 (10 - p) = 80

10p + 70 - 7p = 80

3p = 70

p = 10/3

10/3 pounds of peanuts and how many pounds of raisins should you use

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Find the values of x and y.
-2x+y=-35
L
to
||
2x°
(y + 10)°
yᵒ

Answers

Answer:

x = 60 , y = 85

Step-by-step explanation:

assuming the figure is a trapezoid

• each lower base angle is supplementary to the upper base angle on the same side.

x + 2x = 180

3x = 180 ( divide both sides by 3 )

x = 60

and

y + y + 10 = 180

2y + 10 = 180 ( subtract 10 from both sides )

2y = 170 ( divide both sides by 2 )

y = 85

Sue has 20 biscuits in a tin.
There are: 12 plain biscuits
5 chocolate biscuits
3 currant biscuits
Sue takes two random biscuits from the tin.
Work out the probability that they are not the same type.

Answers

Answer:

The probability that the two biscuits were not the same type is 58.4%.

How much is the probability that the two biscuits were not the same type?

The probability that they are different is the opposite of the probability that they are the same.

The probability that they are the same is:

⇒ P(plain, plain) = (12/20) (11/19) = 132 / 380

⇒ P(chocolate, chocolate) = (5/20) (4/19) = 20 / 380

⇒ P(currant, currant) = (3/20) (2/19) = 6 / 380

⇒ P(same) = 132/380 + 20/380 + 6/380

⇒ P(same) = 158/380

⇒ P(same) = 79/190

Therefore, the probability that they are different is:

⇒ P(different) = 1 − 79/190

⇒ P(different) = 111/190

⇒ P(different) ≈ 58.4%

What does probability mean?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

HELP ASAP PLEASE
i dont underatand this ​

Answers

Answer:

IST x-2= 2

Step-by-step explanation:

Answer: -2x-3 = x

Step-by-step explanation:

You have 2 -x's and 3 -1's in the first balance thing. In the second, you have 1 x.

If you put those together into an equation, you get -2x-3 = x (since in this balance, the two sides are equal).

Then you solve the equation to find x:

-2x-3 = x

-3 = 3x

x = -1

Determine which of the two acute angles has a cosine of 3/4. Eliminate the other acute angle.

Answers

Answer:

Both <y and <w have a cosine of 3/4

the composite bar chart shows the number of messages jon received each day for five day

Answers

Tim received 8 SMS on Monday, 4 emails on Thursday, and 0.52 of the communications were emails, which is the solution to (a), (b), and (c).

what is composite bar chart ?

When two sets of data are joined and their frequencies are combined, a composite bar chart is utilized. Two pieces of data—emails and texts—are included in this inquiry, but they both fall under the same heading, "messages." With regard to question (a), it is clear from the diagram that Tim got 8 texts on Monday. In order to answer question (b), we must determine how many emails Tim received on Thursday. To do this, we must look at the bar for Thursday and divide the total number of texts by the total number of messages to determine the number of emails received. 15-11=4, indicating that Tim received 4 emails on Thursday.

given

Tim for five days, total the emails received, and then determine the percentage of emails relative to messages.

Total messages: 14+16+14+15+14=73.

Emails totaled: 6 + 10 + 10 + 4 + 8 = 38

Email to message ratio is equal to 0.52.

Emails made up 0.52 of the messages, therefore.

Tim got 8 texts on Monday, 4 emails on Thursday, and 0.52 of the messages were emails, according to an analysis of the composite bar chart we used to determine the answers to the three questions.

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The complete question is :- The composite bar chart Messages received shows the number of messages Tim received each day for five days.

a) How many texts did Tim receive on Monday?

b) How many emails did Tim receive on Thursday?

c) In total, what fraction of the messages were emails?

Give your answer in its simplest form.

What is the surface area? in Square Inches

Answers

Answer:

24

Step-by-step explanation:

A news website is interested in knowing which other sites its users visit for their technology news, so it sends an email survey to 10,000 of its registered users selected at random. For what type of bias are the survey results at risk

Answers

10,000 randomly chosen registered users receive an email survey from the company. The survey findings are most susceptible to nonresponse bias.

What type of bias are the survey results at risk for?

A news website sends an email survey to 10,000 randomly chosen registered users in order to learn which other websites its readers visit for their technology news. The most common sort of bias that the survey results are vulnerable to is nonresponse bias. Because convenience sampling, which many researchers engage in, frequently leads to undercoverage bias in survey research, it is a widespread problem.

Coverage bias, like many other potential problems in survey research and data gathering in general, can significantly change your survey results and compromise the integrity of your research. This phrase describes the several circumstances and biases that may affect survey results. Regardless of whether the bias was deliberate or unintentional, erroneous survey results make the information less helpful.

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Isaac's father is 49 years old. He is four years older than three times Isaac's age. How old is Isaac

Answers

If Isaac's father is four years older than three times of Isaac's age and the age of father is 49 years old. So, Isaac age will be 15 years old.

How old is Isaac?

According to online myth, there is a mathematical equation that regulates the lower bound for a possible dating partner's socially acceptable age: half your age plus 7, or, in mathematical words, if x is your age, the bottom barrier is [tex]f(x) = x/2 + 7[/tex].

Consider Isaac is L

Let us suppose L is x years old.

3 times the age of L = 3x

3 times L’s age plus 4 years = 3x + 4

Furthermore, L’s father’s age is 49 years older than L’s age.

Therefore,

[tex](3x + 4) = (49) (49)\\(3x + 4) -4 = (49) – 4\\3x = 45\\3x/3 = 45/3\\X = 15[/tex]

L’s age is 15 years since we expected L’s age = x (and x=15).

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(x - 16)2 + (y - 6)2 = 1 Translated 4 left, 2 up​

Answers

Answer:

x= -4

y=2

put the values

( -4-16)2+(2-6)2=1

(-20)2+(-4)2=1

-40-8=1

-48 is not equal to 1.

a salesman goes to Murano and buys three dozen vases paying €16.25 each. During transport if they break me 9. How much did each remaining vase sell for if he earned €360

Answers

The vase sells for € 34.41, and he made €360 during a break on the ninth transfer.

what is unitary method ?

The unit technique is a method of problem-solving where you first calculate the value of a single unit, then multiply that value to get the answer. Simply expressed, a single unit value is extracted from a specified multiple using the unit method. For instance, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. (Linear Algebra, Mathematical Analysis, Mathematics of Matrix or Operators)

given

A salesperson purchases three dozen vases (12 * 3 = 36),

at a cost of 36 * €16.25 (or $585),

with seventeen remaining.

The cost of selling each remaining vase is € 585 / 17

= € 34.41.

The vase sells for € 34.41, and he made €360 during a break on the ninth transfer.

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A line passes through the points (–6,5) and (8,–2). What is its equation in point-slope form?

Answers

Answer:

y - (-2 ) = 1\2 ( x- 8)

Step-by-step explanation:

The point slope form equation is  y-y₁=m(x-x₁)

( -6 ,   5 )      (  8 ,  -2  )

( x  ,  y )       (x1 ,  y1 )

Firstly we need to find the slope

                                                                     y1  -  y              -2  -  5

we can find the slope by this equation : -------------      =  --------------

                                                                    x1  -   x                 8  - (-6)

The slope is 1\2

What is the value of x

Answers

Answer:

12

Step-by-step explanation:

Tell algebra to stop looking for his x an just watch her 24/7

Answer:

value of x is 12

hope it helps.

What is the solution to the system of equations below x y 7 and x 2y 11?

Answers

The solution to the system of equations is x = 3 and y = 4.

this question is related to system of equations ,

the equations are,

x + y = 7         .......[1]

x + 2y = 11  

x= 11 - 2y

now, place the value of x in equation 1,

(11 - 2y) + y = 7

11 - 2y +y = 7

11 - y = 7

- y = 7 - 11

- y = - 4

y = 4

now to find the value of x, place the value of y in equation 1

x + 4 = 7

x = 7 - 4

x = 3.

so, the value of x and y is 3 and 4.

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How many solutions will the following system have? 4x+y=13 1/2}y=-2x+5

Answers

Step-by-step explanation:

I have to assume the equations are

4x + y = 13

(1/2)y = -2x + 5

let's bring both of them into a "y = ..." form :

y = -4x + 13

y = -4x + 10

now we see that both equations are lines with the same slope but different y-intersect.

so, they are parallel but not identical.

therefore, there are 0 solutions. the lines will never intersect and have no point in common.


Work out the length of x.
Give your answer rounded to 1 decimal place.
x
9 m
14.5 m
The diagram is not drawn accurately.
Please help

Answers

Answer:

x ≈ 17.1 m

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² = 9² + 14.5² = 81 + 210.25 = 291.25 ( take the square root of both sides )

x = [tex]\sqrt{291.25}[/tex] ≈ 17.1 m ( to 1 dec. place )

Find the area of the rhombus. AB=7 ft. Round to the nearest tenth.

Answers

Answer:

7 x 7 = 49

49 divided by 2 ( x 1/2) = 24.5

Formula:

D1 x D2 x 1/2

In this case D1 and D2 are both 7

and 1/2 is just 1/2 so multiply them.

For each linear relationship determine the y intercept write an ordered pair and explain its meaning
A: Ailee has a Gift card to a coffee shop worth $20 each drink she purchases using the gift card costs $4.25

B: Duncan begins to hike a trail that is an elevation of 1000 feet as he hikes his elevation increases 2000 feet each hour he hikes

Please help!!!

Answers

Answer: For the linear relationship in A, the y-intercept is the point where the line crosses the y-axis. This point represents the starting balance on Ailee's gift card before she makes any purchases.

The y-intercept of this linear relationship is the point (0, 20), which represents the fact that Ailee's gift card has a starting balance of $20 before she makes any purchases.

For the linear relationship in B, the y-intercept is the point where the line crosses the y-axis. This point represents Duncan's starting elevation before he begins to hike.

The y-intercept of this linear relationship is the point (0, 1000), which represents the fact that Duncan starts his hike at an elevation of 1000 feet.

Step-by-step explanation:

2(2x + 3) - 5

Please and thanks

Answers

Answer:

=4x+1

Step-by-step explanation:

Let's simplify step-by-step.

2(2x+3)−5

Distribute:

=(2)(2x)+(2)(3)+−5

=4x+6+−5

Combine Like Terms:

=4x+6+−5

=(4x)+(6+−5)

find the perimeter of the figure

Answers

Answer:

30 cm

Step-by-step explanation:

For perimeter you just need to add all the outer sides.

6+6.5+4+4+9.5

Evaluate that and you get 30.

That's your answer.

(Remember perimeter is the value AROUND the figure.)

What is quadrant 1 2 3 and 4?

Answers

The explanation of four quadrant are explained below.

In the coordinate plane the first coordinate or the x-coordinate will refer to the number which corresponds with the point's horizontal location as determined by the number on the x-axis.

And the second coordinate known as the y-coordinate, will refer to the number which corresponds with the point's vertical location as determined by the number on the y-axis.

By using these x and y values, we have divide the graph, into four part such as Quadrant I, Quadrant II, Quadrant III and Quadrant IV.

Here we want to know that each quadrant contains certain directions.

=> Quadrant 1 placed on 0 to 90 degrees.

=> Quadrant 2 placed on 90 to 180 degrees.

=> Quadrant 3 placed on 180 to 270 degrees.

=> Quadrant 4 placed on 270 to 360 degrees.

And the value in the quadrant are like as follows:

Quadrant I had both x and y-coordinate are positive.Quadrant II had x-coordinate is negative and y-coordinate is positive.Quadrant III had both x and y-coordinate are negative.Quadrant IV had x-coordinate is positive and y-coordinate is negative.

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Hey I really need help on this question please

Answers

A circle’s standard form of an equation is:
(x-h)^2 + (y-k)^2 = radius^2

Plug in h and k immediately because that is something you automatically know. H and k are derived from the center of the circle. The center of the circle is (h,k). Don’t get tripped up though, your center of a circle has negative coordinates. When you have two negatives, they become positive.

So now you have:
(x+4)^2 + (y-2)^2 = radius^2

So figure out what the radius is. Use the distance formula to find out. You have a change of 5 from -4 to 1 in x. You have a change of 2 from 2 to 4 in y. Distance formula has the distance as the square root of x distance squared and y distance squared. That would mean that the distance/radius is equal to the square root of (25 + 4). 5 squared is 25 while 2 squared is 4.

The radius of the circle is equal to the square root of (29). However, looking back at the circle equation the radius should be squared for the equation. Square root of 29 squared gets you 29.

Plug that in and you get:
(x+4)^2 + (y-2)^2 = 29

what is the answer to −9−(−4)=

Answers

The answer is -5.

Explanation:

-9 - (-4)
-9 + 4
-5

Serenity worked as a waitress. She earned $12. 50 per hour and made $175 tips on

Saturday. How many hours did Serenity work if she made a total of $262. 50?

Answers

7 hours Serenity worked if she made a total of $262. 50.

How do you calculate total hours in a number?

To find the total hours, subtract the time the employee clocked in from when they clocked out.

We can start by using the following equation to find the total number of hours Serenity worked:

Total Earnings = (Hourly Wage) * (Number of Hours) + (Tips)

In this case, we know that Serenity's total earnings were $262.50, she earned $12.50 per hour and made $175 in tips on Saturday. So we can substitute these values into the equation:

$262.50 = ($12.50) * (Number of Hours) + $175

To find the number of hours, we can subtract the tips from the total earnings and divide by the hourly wage:

Number of Hours = ($262.50 - $175) / $12.50

= $87.50 / $12.50

= 7

So Serenity worked 7 hours on Saturday.

Hence, 7 hours Serenity worked if she made a total of $262. 50.

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