Work out the size of an exterior and an interior angle of a regular 16-sided
polygon.​

Answers

Answer 1

Answer:

exterior angle: 22.5°, interior angle: 157.5°

Step-by-step explanation:

the formula for the measure of each Interior Angle in a regular polygon: [tex]\frac{180(n-2)}{n}[/tex], n = # of sides

=> [tex]\frac{180(16 - 2)}{16}[/tex] = 157.5°

the formula for the measure of each Exterior Angle in a regular polygon: [tex]\frac{360}{n}[/tex]

=> [tex]\frac{360}{16}[/tex] = 22.5°


Related Questions

The base of the triangle is 4 inches more than the length of the sides and the total the total perimeter is 64 inches. Write an equation to find the length of each side of the triangle

Answers

Answer:

Both the sides are equal to 20 inches and the base is equal to 24 inches.

b=s3= s1+4----equation 1

s1=s2----equation 2

Perimeter of the triangle = s1+s2+s3--------equation 3

Step-by-step explanation:

Let the sides be denoted by s1 and s2 . Then the base is denoted by b=s3= s1+4----equation 1

According to the statement s1=s2----equation 2

Perimeter of the triangle = s1+s2+s3--------equation 3

   64= s1+s2+ s1+4

 64 = 3s1+4

60= 3s1

20 = s1

Both the sides are equal to 20 inches and the base is equal to 24 inches.

One game had an attendance of 25,000 visitors. Based on the table, how many people out of 25,000 could be expected to buy a flag?

A.
1,375

B.
1,650

C.
3,850

D.
2,750

Answers

The answer is D i’m sure

The number of people who could be expected to buy a flag using the expression (22/200) x 25,000 is 2,750.

Option D is the correct answer.

We have,

Based on the table,

The number of people who could be expected to buy a flag out of 25,000 visitors is:

(22/total items sold) x 25,000

To find the total items sold, you can add up the number of caps, jerseys, flags, and programs:

Total items sold.

= 68 + 19 + 22 + 91

= 200

The number of people who could be expected to buy a flag is:

(22/200) x 25,000 = 2,750

Thus,

The number of people who could be expected to buy a flag is 2,750.

Learn more about expressions here:

https://brainly.com/question/17121675

#SPJ2

The complete table is given below:

Item          Number of people

Cap           68

Jersey       19

Flag           22

Program    91

help em out pls and ill give brainliest

Answers

Answer:

- 10/5 = -2

- 1.25 = Box next to -2

0.75 = 2nd box facing the right

-0.5 = Box next to -1.25

3/2 = Last box facing the right

Answer:

-2 = -10/5, next is -1.25, next is -0.5, then 0.75, and finally 3/2, from left to right.

Step-by-step explanation:

This table shows a proportional relationship between the grams of peanuts and raisins in a bag of trail mix. Enter the number of grams of peanuts in a bag for every 1 gram of raisins

Answers

Answer:

3.5

Step-by-step explanation:

Hope this helps!

There are 3.5 gram of peanuts in a bag for every 1 gram of raisin  

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

From the table:

14 g of peanut = 4 gram of raisins

Hence:

1 gram of raisin = (14/4) = 3.5 gram of peanuts

There are 3.5 gram of peanuts in a bag for every 1 gram of raisin  

Find out more on equation at: https://brainly.com/question/2972832

Tickets to the fair costs $5 and each ride costs $0.75. If Jacob wants to spend no more than
$18 at the fair, how many rides can he ride?

Answers

Answer:He can ride 17 rides

Step-by-step explanation:

18-5= 13

13 / 0.75 =17.333333333

You have to round down which would give you 17

What is the measure of ?
Angles are not necessarily drawn to scale,
B
68
70°
D
A
С

Answers

Answer:

Angle x should be 138 degrees. But I don't see it as one of your options listed in the text of the question.

Is it one of your selections?

Graph the function.f(x) = 3/8 (x−1)(x−9)

Answers

Answer:

Step-by-step explanation:

what expression is equivalent to -10x + 5
a. -5x
b. -15x
c. 10x -5
d. 5-10x
e. -5 - 10x

Answers

Answer:

-5x

Step-by-step explanation:

-10+5= -5 then you put -5 with x to get -5x

Help meee plzzzzzzzzz

Answers

Answer:

B

Step-by-step explanation:

At the numerator we have to put 8, while at the denominator we have to put 26

8/26

now we can simplify the fraction by dividing both numerator and denominator by 2

(8:2)/(26:2)

4/13

Answer:

The answer is D

Step-by-step explanation:

4/46in simplest form

Me.Doherty paints houses. He charges $25.00 per hour plus a flat fee of $50 for a job after painting you owe him $275. How many hours did he spend painting your house

Answers

Answer:

9 hours

Step-by-step explanation:

The total charge was $275 = $50 + ($25/hr)h

Simplifying:  $225 =  ($25/hr)h

                $225

Then h = ---------------- = 9 hours

                 ($25/hr)

Mr. D. spent 9 hours painting.

Can someone help me I’m stuck and I don’t get it

Answers

Answer:

The first one (highlighted one)

Step-by-step explanation:

The answer is the one selected. When multiplying and subtracting numbers, you do the combination that is multiplying before you subtract-unless there are numbers in parenthese. You work parentheses first. In all of the other options, you are multiplying first so not subtracting from 3. For example  the second option, you would multiply 4x7 BEFORE you subtract from 3 which doesn’t work. You are also multiplying first in options 3 and 4.

slove: 3/2 (x-6) = -3

Answers

The answer is x = 4

Step 1: Simplify both sides of the equation.

3 /2 (x−6)=−3

( 3 /2 )(x)+( 3 /2 )(−6)=−3(Distribute)

3 /2 x+−9=−3

3 /2 x−9=−3

Step 2: Add 9 to both sides.

3 /2 x−9+9=−3+9

3 /2 x=6

Step 3: Multiply both sides by 2/3.

( 2 /3 )*( 3 /2 x)=( 2 /3 )*(6)

x=4

Answer:

x=4

helps, my brain cannot process

Answers

Answer:

12

Step-by-step explanation:

Either 11 if you round down but 12 if you round up

PLZZZZZZZZZZ HELP ILL GIVE BRAINLEST

Answers

It is c because I don’t know

Answer:

c)  3 grams

Step-by-step explanation:

Left side of hanger:

Total mass of circles: 6 (2 circles x 3 gram)

Total mass of squares: 10 (5 squares x 2 gram)

Total mass of triangles: 6 (2 triangles x 3 gram)

Makes a total of 22 grams

Right side of hanger:

Total mass of circles: 3 (1 circle x 3 gram)

Total mass of squares: 4 (2 squares x 2 gram)

Total mass of triangles: 15 (5 triangles x 3 gram)

Makes a total of 22 grams.

Please tell me how to figure it out thanks

Answers

Answer:

A - 4? (Don’t quote me)

Explanation:

It says the tank needs to be quadrupled, and quadrupled means by 4.

hi please help i’ll give brainliest

Answers

b) new moon

i’m not sure the explanation but i learned ab this before

Answer:

A solar eclipse is possible during a new moon.

Which of the following statements are true about the graph of f(x) = -2tan(3x - 6) + 1? Select all that apply.

Answers

A. isn't correct because functions are by their definition different.

B is true. Domain of both is x>0 and range is 1/2 as large. because of 1/2 factor in first function

C is true . because of -2 it is shifted to the right by 2 and it is shrunk vertically by 1/2

D isn't true because ranges are not the same.

Answer: 1. A. B, C

2. A

3. A

Step-by-step explanation: I just finished the practice

HELPPPPPPPpppppppppp

Answers

Answer:

AB = 130°

Step-by-step explanation:

The inscribed angle 65° is half the measure of its intercepted arc, then

arc AB = 2 × 65° = 130°

Your answer would be AB = 130, hoped this helped! (:

Please help with real answer :-(

Answers

Answer:

B

Step-by-step explanation:

subtract the function of h by the real number and write it in form of inequality

Tom keeps sticky notes in a box that is the shape of a cube. each side of the box is 4 inches. what is the volume of the box. HELP FIRST PERSON GETS BRAINLIEST​

Answers

Answer:

64

Step-by-step explanation:

you do 4 x 4 * 4 = 64 which means 64 in cubed

A population of 2500 frogs increases exponentially at an annual rate of 25%. Which equation below best represents the population (P) in t years?

P=2500(0.25)^t

P=2500+0.25t

P=2500(0.75)^t

P=2500(1+0.25)^t

Answers

Answer:

P=2500(1+0.25)

Step-by-step explanation:

Given  data

Initial population= 2500

Rate= 25%

The exponential increase is described using the expression

P=A(1+r)^t

Hence the correct representation is

P=2500(1+0.25)

Marco mixed 2 teaspoons of sugar and 1 teaspoon of milk into his coffee. What is the ratio of teaspoons of sugar
to teaspoons of milk?

Answers

Answer:

2 : 1

Step-by-step explanation:

teaspoons of sugar : teaspoons of milk

= 2 : 1

hope this helps :)

Quick plzzz help me on this due tonight
I get help on all question I will give u the brainlyest thing
!!!!!

Answers

Answer:

2x²+9x-32

Step-by-step explanation:

north length of bedroom plus north length of living room plus north length of kitchen

What single percentage change is equivalent to a 8% decrease followed by a 13% increase?

Answers

Answer:

5% increase

Step-by-step explanation:

-8% + 13% = 5%

Answer:

the answer is 5 increase

Step-by-step explanation:

which choice is equivalent to 6.25% ?

a) 6.25

b) .625

c) 0.0625

d) 0.00625​

Answers

.625 to find the decimal of a percentage divide by 100

Annette wants to find out which of two toothpaste brands people living in the town of Springville prefer, brand A or brand B. She uses a random sample to make this generalization: 60% of the population of Springville prefers brand A over brand B. For which random sample would this generalization be valid?

Answers

Answer:

B

Step-by-step explanation:

PLEASE HELPPPPPP URGENT

Answers

Answer:

B

Step-by-step explanation:

CD matches with ST on the shapes.

A bag contains 12 marbles that are the same shape and same size.
25% of the marbles are blue
of the marbles are red
The remainder of the marbles are orange
If one marble is selected at random from a bag, what is the probability that it will NOT be orange?

Answers

Answer:if it's 25% red, it's 50/50 that it will not be orange

Step-by-step explanation:

will give brainlist or whatever.
Meredith has $5.10 in quarters and dimes. She has 24 coins in all. How many quarters and how many dimes does she have?

Answers

Quarters and 1 dime

What is the surface area of the rectangle below?

Answers

Step-by-step explanation:

First, we must take into account that there will be 3 pairs of sides that are the same. Starting at the front, we have 9 * 12. Since the rectangular prism is measured in units squared, this side is 108 units squared. The opposite side is the same. Our current total is 216 units. The side is 15 * 9. This is 135 units, multiplied by 2 since it has the other side, to get 270 units. Our current total is 486 units, so it already can't be A. The top and bottom sides are 15 * 12 units, giving us 180 on each, 360 in total. 360 plus 486 = 846 units squared.

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Polydactyl cats are cats with extra toes. A researcher believes that the proportion of the population of polydactyl cats in region A is greater than the proportion in region B. Let pB represent the population proportion of polydactyl cats in region A, and let pB represent the population proportion of polydactyl cats in region B. Which of the following are the appropriate hypotheses to test the researchers belief?A. H0 : PA - PB = 0Ha : PA is not equal to 0.B. H0 : PA - PB = 0Ha : PA - P > = 0C. H0 : PA - PB = 0Ha : PA - 0 < 0D. H0 : P^a - P^b = 0Ha : P^a - P^b is not equal to 0E. 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