What is the sum of the measures of the exterior angles of a regular dodecagon? If necessary, round to the nearest tenth.

Answers

Answer 1

Step-by-step explanation:

Exterior angle of a dodecagon (12-sided regular polygon) is supplementary to its interior angle.

Sum of all interior angles of

N

-sided regular polygon equals to

(

N

2

)

180

o

.

Therefore, sum of interior angles of

12

-sided polygon is

(

12

2

)

180

o

=

1800

o

All 12 interior angles of dodecagon are equal, so each is

180-30

150

A supplementary exterior angle, therefore, equals to

180-150

=30

hopeit helps..

Answer

Answer 2

The measure of each exterior angle of a regular dodecagon is 30 degrees.

What is a regular dodecagon?

A regular dodecagon is a 12-sided regular polygon with each side equal.

We are asked to find the measure of each exterior angle of a regular dodecagon.

We know that measure of each angle of n-sided regular polygon can be found using

= 360/n

Upon substituting n = 12 in above formula, we will get:

= 360 / 12

= 30

Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.

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Related Questions

rotation,
glide reflection,
reflection,
translation.

Answers

Answer:

it appears to have TRANSLATED

A new roller coaster is set to open at an amusement park. Due to the height and speed of the roller
coaster, you must be taller than 48 inches to ride.
PAG

Answers

Answer:

48cm<h

Step-by-step explanation:

Need help! I will give brainless to person who helps

Answers

Answer:

1. X-intercept

Step-by-step explanation:

Answer:

quadranttwo

linear

Step-by-step explanation:

1 across

quadranttwo

14 across

linear

solve the radical. x+4=sqrt x+10 what is the extraneous solution to the radical equation

Answers

Answer:

-6 is an extraneous solution.

Step-by-step explanation:

We can start by solving this problem.

First, to remove the square root, we can square both sides.

[tex](x+4)^{2} = x + 10\\x^2 + 8x + 16 = x + 10\\[/tex]

Next, we can subtract both sides by (x+10)

[tex]x^2 + 7x + 6 = 0\\[/tex]

Then, we can factor out the equation.

[tex](x+1)(x+6) = x^2 + 7x + 6 \\= 0[/tex]

Given this, it seems like -1 and -6 would be correct. Plugging this back into the original equation, though,

-1 + 4 = √(-1 + 10)

3 = 3

-6 + 4 = √(-6+10)

-2 ≠ 2

Therefore, -6 is an extraneous solution.

Please explain me briefly if you can!!

Answers

Answer:

[(x-y)(x²+xy+y²)] [(x+y)(x²-xy+y²)]

Step-by-step explanation:

x⁶-y⁶

(x³-y³)(x³+y³) difference and sum of two cubes

[(x-y)(x²+xy+y²)] [(x+y)(x²-xy+y²)]

a radio cost 5400 discount of 121/2% what is the cash price​

Answers

Answer:

2133$

Step-by-step explanation:

5400-(5400$ *60.5/100)


CAN SOMEONE PLEASE ANSWER THESE TWO QUESTIONS?! I NEED HELP!

Answers

Answer:

B ; A

Step-by-step explanation:

1) The first operation that we have to do is the division

2) we have to added up the the fishes

Write 0.00467 in standard form

Answers

Answer:

[tex]\frac{0.00467}{100000}[/tex]

Step-by-step explanation:

Given :

0.00467

Now,

[tex]0.00467=\frac{0.00467}{100000}[/tex]

Standard form of given equation is :

[tex]\frac{0.00467}{100000}[/tex]

micheal has $550 in his savings account he took out $30.75 every month for one year what is the net change in michaels account balance following these withdrawals

Answers

Answer:

$ 181

Step-by-step explanation:

He has total savings account= $550

If he took out every month = $ 30.75 ,

Total account he has took out in a year = $ 30.75 × 12

= $ 369

micheal has total balance = $ 550 - $369

= $ 181

Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 mile per hour slower than the other. If the two cyclists are 56 miles apart after 2 hours, what is the rate of each cyclist.?

Answers

Answer:

12 mph and 16 mph

Step-by-step explanation:

distance = speed * time

56 = s * 2 + (s - 4) * 2

56 = 2s + 2s - 8

56 = 4s - 8

64 = 4s

16 = s

s = 16

s - 4 = 12

Let the speed of the faster bike = X

The slower bike would be x - 4 ( 4 mph slower)

Multiply each speed by time and add to equal total distance:

2x + 2(x-4) = 56

Simplify:

2x + 2x -8 = 56

4x -8 = 56

Add 8 to each side:

4x = 64

Divide both sides by 4:

x = 64/4

x = 16

The faster bike rode at 16 miles per hour

The slower bike traveled at 16-4 = 12 miles per hour

the histogram shows the result of survey asking students how many windows are in their homes how mnay studengs have less than 10 windows. I will mark Brainly help

Answers

Answer:

4 students

Step-by-step explanation:

Although I am not sure if I am completely correct. I’ll try my best.

We know:

The numbers 0-12 on the frequency table is the number of windows.

The numbers on the bottom is the amount of students.

-

What we can see:

As we can see..

the 0-4 section in the table shows that only 0-4 students have 9 windows. The 5-9 sections shows that only 5-9 students have 10 windows.The 10-14 sections shows that 10-14 students have 0 windows.The 15-19 sections shows that 15-19 students have 4 windows.The 20-24 sections shows that 20-24 students have 2 windows.

-

Calculations:

Since the number of students that have the amount of windows less than 10 is 4 (0-4 section) and 0 (10-14 section)

Add.

4+0

= 4

Therefore, 4 students have less than 10 windows.

Please help me. I am confused, and I will give you anything you want. Just help me i swear I do anything. SOS. I just need one question to be answer

Emma and Zeke own an online business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.


please answer the question by reading the text. also what is the relationship between

1) Write an equation describing the relationship between

Answers

Answer:

Step-by-step explanation:

P= plain coasters

L= logo coasters

3(P+L) +25   if they want to buy logo coasters or logo  and plain  coasters

3P  if they want to buy plain coasters

no matter the amount of logo coasters   there is a one time charge  of $25

So we do not need to know how many with logo

The prize of both kind of coaster is $3

Please help ASAP thank you

Answers

A: Chris
B: the absolute values of each customer is $47.92 and $68.21 (Chris’ debt), and the latter number is greater

HELP ME PLEASE I NEED HELP

Answers

Answer:

10, and -8.

Step-by-step explanation:

So we know a = -4

We also know that b = 2

Lets plug in a = -4 and b = 2 into b-2a:

2-2(-4)

=

2--8

A minus and minus make a plus, so:

2+8 = 10

So the answer is 10.

Next lets plug in a = -4 and b = 2 into [tex](a+b)^3[/tex]:

[tex](-4+2)^3[/tex]

=

[tex](-2)^3[/tex]

=

-8

So the second answer is -8.

Hope this helps!

Answer:

a= 2-2(-4)= 10

b= -4^3+2^3+3(-4)(2) (-4 - 2)= 8

Please help me solve my problem!!!

Answers

Answer:

The answer is False.

Step-by-step explanation:

Cause consecutive angles for parallelogram are supplementary.

Find the volume of a pyramid with a square base, where the area of the base is 11.1\text{ in}^211.1 in 2 and the height of the pyramid is 15.3\text{ in}15.3 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

56.6in³

Step-by-step explanation:

volume of a pyramid = 1/3 x Area of base x height

1/3 x 11.1 x 15.3 = 56.61 in³

56.6 in³ to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

the hundredth term is 1 which is less than 5. O is added to 6

PLZ HELP
The coordinates of the vertices of quadrilateral ABCD are A(–5, –1), B(–1, –1), C(–1, 4), and D(–5, 6). The quadrilateral is reflected about the y-axis and the coordinates of A' are A'(5, –1).

Answers

Answer:

do u need other coordinates?

if so B'(1,-1)

C'(1,4)

D'(5,6)

the formula is (-x,y)

hope it helps :)

Answer: D is 5,6

Step-by-step explanation:

Find the equation of the line that passes through (–3, 2) and the intersection of the lines x–2y=0 and 3x+y+5=0.
I need the intersection point of the lines and the equation of the line.

Answers

Answer:

[tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0

Step-by-step explanation:

the intersection of x-2y=0 and 3x+y+5 is ([tex]\frac{-10}{7}[/tex];[tex]\frac{-5}{7}[/tex])

=> the line : [tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0

Answer:

[tex]Point \ of \ intersection = (\frac{-10}{7} , \frac{-5}{7})\\\\Equation \ of \ line : y = -\frac{19}{11}x - \frac{35}{11}[/tex]

Step-by-step explanation:

Find intersection of the given lines :

x - 2y = 0 => x = 2y ----------- ( 1 )

3x + y = - 5 -------------------- ( 2 )

Substitute ( 1 ) in ( 2 ) :

                               3x + y = - 5

                               3 ( 2y ) + y = - 5

                                6y + y = - 5

                                  7y = - 5

                                    [tex]y = -\frac{5}{7}[/tex]

Substitute y in ( 1 ) :

                            x = 2y

                           [tex]x = 2 \times \frac{-5}{7} = - \frac{10}{7}[/tex]

[tex]Therefore , \ point \ of \ intersection\ is ( -\frac{10}{7}, -\frac{5}{7} )[/tex]

To find the equation of the line passing through ( - 3, 2) and point of intersection :

Standard equation of a line : y = mx + b , where m is the slope, b is the y intercept.

So step 1 : Find slope , m:

 [tex]slope, m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]       [tex][ \ where \ (x_1, y_ 1 ) = ( -3, 2 ) \ and \ (x_2, y_ 2 ) = ( \frac{-10}{7} , \frac{-5}{7}) \ ][/tex]

              [tex]= \frac{\frac{-5}{7}-(2)}{\frac{-10}{7} - (-3)}\\\\= \frac{-5- 14}{-10 + 21}\\\\=\frac{-19}{11}\\\\=-\frac{19}{11}[/tex]

Step 2 : Equation of the line :

[tex](y - y _1) = m (x - x_1)\\[/tex]

[tex](y - 2 ) = -\frac{19}{11}(x -( -3))\\\\(y - 2 ) = -\frac{19}{11} (x+ 3)\\\\y = -\frac{19}{11} (x+ 3) + 2\\\\ y = -\frac{19}{11}x +(-\frac{19}{11} \times 3) + 2\\\\y= - \frac{19}[11}x +(\frac{-57}{11} + 2)\\\\y= - \frac{19}{11}x +(\frac{-57+ 22}{11})\\\\y= - \frac{19}{11}x +(\frac{-35}{11})\\\\[/tex]

How might we know whether x is a positive number, negative number, or zero, without solving the equation?

Answers

We might know that because x = 0 so it’s gonna be 0=0 and that equals nothing so yeahhh

what is the explicit formula for this sequence? 7, 2, -3, -8

Answers

Answer:

Common difference (d) = -5

Step-by-step explanation:

formula=>

an = a + (n-1)d

=> -8 = 7 + (4-1)d

=> -15 = 3d

=> 3d = -15

=> d = -15/3

=> d = -5

HELP PLEASE THIS IS IMPORTANT FOR MY CLASS!!1.what is the diameter in inches of a circle that has a circumference of 12 inches

Answers

Answer:

3.8 inches

Step-by-step explanation:

12 = 2 x 22/7 x r

84= 2 x 22 x r

42 = 22r

r = 1.9

2r = 3.8inches.

diameter is twice the radius

diameter = 3.8 inches

hope its right. good luck!

Think about the vertical line test and answer the following question. Would a vertical line be a relation, a function, both a relation and a function, or neither a relation nor a function?
A.
both a relation and a function
B.
neither a relation nor a function
C.
function only
D.
relation only

Answers

Answer:

relation only

Step-by-step explanation:

The vertical line will be relation only.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable.

In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Noted that Linear function is a function whose graph is a straight line

We can conclude that  vertical line would be relation only.

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how do do this plz help

Answers

Answer:

okay for graphing first one start at zero go up five. then rise over run. so go up one and right four.

second one go down one. then down one right one

Susana has a budget for school stationery of $33, but has already spent 19.10 on books and folders. Let p represent the amount that Susana can spend on other stationery. Write an inequality that shows how much she can spend on other stationery, and solve for p.

Answers

Answer: $13.90

Step-by-step explanation:

Since Susana has a budget for school stationery of $33, but has already spent $19.10 on books and folders, the inequality that shows how much she can spend on other stationery, will be represented by:

p + $19.10 = $33

p = $33 - $19.10

The inequality is p = $33 - $19.10

Then, the amount that she can spend on other stationery will be:

P = $33 - $19.10

P = $13.90

She can spend $13.90 on other stationary

what is the name of the shape made by the equation below?

r=2+2 sin(theta)​

Answers

Answer:

cardioid

Step-by-step explanation:

r=2+2 sin(theta)​

This is of the form

r =a+b theta

This is a limacon

When a = b, it is called a cardioid.

Cherries in cherry pie at Barnett's Bakery. 0-29 30-59 60-89- 90-119 129-149 How many cherry pies have 90 or more cherries?

Answers

Answer:

7 cherry pies

Step-by-step explanation:

the cherry pies that have 90 or more cherries =

4 + 3 = 7

a half + a quarter , HELP PLZ RNN

Answers

Answer:

Three quarter

Step-by-step explanation:

;]

Answer:

3/4

Step-by-step explanation:

1/2 + 1/4

2/4 + 1/4

2+1/4

3/4

Consider the points P(0,5), Q(9, 2), R(7, -4), and S(-2, -1). What type of quadrilateral
do these points form? Justify your answer mathematically in the space below.

Answers

Answer:

a trapezium

Step-by-step explanation:

by plotting and joining the points you will see a quadilateral with four sides which has one pair of opposite sides parallel but not equal and that is a trapezium

pls say the answers
i need this for my class activity

Answers

Answer:

i.c

ii.d

iiid

iv3

v180

Step-by-step explanation:

x is 60

Need help on this!! Will give 20 points!!!

Answers

Your first step should be to plug in the q and f values they give you. q being 20 and f being 16. From there you want to isolate 1/p by subtracting the 1/20 from both sides. You should be left with 1/p = 1/16 - 1/20. This will come out to be 1/80 or 0.0125. Now that one side is 1/p and the other is 1/80 you can multiply both sides by p in order to get 1=1/80 times p which means that p = 80 . Hope this helps

Answer:

80 mm

Step-by-step explanation:

1/p + 1/20 = 1/16

Subtract 1/20 from both sides

1/p = 1/16 - 1/20

Use 160 as common denominator

1/p = 10/160 - 8/160

1/p = 2/160

1/p = 1/80

Cross multiply

80 = p

80 mm

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