Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon.

Round to the nearest tenth, if necessary.

Answers

Answer 1

Answer:

[tex]\theta = 25.7^\circ[/tex] --- Measure of each exterior angle

[tex]\theta = 154.3^\circ[/tex] --- Measure of each interior angle

Step-by-step explanation:

Given [Missing from the question]

[tex]n = 14[/tex] --- number of sides

Required

- The measure of an exterior angle

- The measure of an interior angle

For an n-sided polygon, the measure of each exterior angle is:

[tex]\theta = \frac{360}{n}[/tex]

Substitute 14 for n

[tex]\theta = \frac{360}{14}[/tex]

[tex]\theta = 25.7^\circ[/tex]

For an n-sided polygon, the measure of each interior angle is:

[tex]\theta = \frac{(n - 2) * 180}{n}[/tex]

Substitute 14 for n

[tex]\theta = \frac{(14 - 2) * 180}{14}[/tex]

[tex]\theta = \frac{12 * 180}{14}[/tex]

[tex]\theta = \frac{2160}{14}[/tex]

[tex]\theta = 154.3^\circ[/tex]


Related Questions

An airplane takes off 12.5 miles south of a city and flies due north at a constant speed of 170 miles per hour. What is the planes position relative to the city after 45 minutes

Answers

The airplane takes off 12 1/2 miles south of a city
Speed =180*3/4
=45*3
=135
135-12.5
The plane is 122.5 miles north to the city after 45 minutes

PLEASE ANSWER I NEED LOTS OF HELP!!!!!!!!!!!!!!

Answers

Answer:

40%

Step-by-step explanation:

Rachael liked 36/90 books movies that she watched. This simplifies to 2/5 which is 0.4. To find the percentage, we multiply 0.4 by 100 to get 40%.

Which point best represents 10?
P
Q
R
S
wt
0
1
2
4
5
S
P
R
Q

Answers

Answer:

Q

Step-by-step explanation:

The square root of √10 shown in decimal form is 3.1622776... and the placement of Q is the closest to the answer.

choose 3 values that would make this inequality true 28 + x > 42
100
0
13
15
5
14
24

Answers

Answer:

100, 15, 24 I think that is it

Step-by-step explanation:

Answer: 100, 24, 15

Step-by-step explanation:

28+100= 128, 128>42

28+24=52, 52>42

28+15=43, 43>42

In Stacia's town, 60% of registered people vote
regularly. A spinner with equal-sized sections
numbered 0 to 9 can be used to represent those
who do and
do not vote.
a. What numbers can be assigned to represent
those who do vote and those who do not vote?

Answers

Answer:

6 Voted , 4 Not Voted

Step-by-step explanation:

10 sections, so 0.60 * 10 = 6 sections Voted

0.40 * 10 =  4 sections not Voted

please help!!!

Solve (find x intercepts) using the quadratic formula

f(x)= -5x^+9x-4​ ​

Answers

Answer:

[tex]x[/tex]-intercepts at [tex](1,0)[/tex] and [tex](0.8,0)[/tex]

Step-by-step explanation:

A quadratic in the form [tex]ax^2+bx+c=y[/tex] crosses the [tex]x[/tex]-axis when [tex]y=0[/tex].

The first step is replacing [tex]f(x)[/tex] with [tex]y[/tex].

So: [tex]y= -5x^2+9x-4[/tex]. With the information above, we can find the [tex]x[/tex] intercepts by setting [tex]y = 0[/tex].

Therefore [tex]0=-5x^2+9x-4[/tex].

Now we can use the quadratic formula because it is in the form [tex]ax^2+bx+c=0[/tex].

Note the quadratic formula: [tex]\frac{-b\frac{+}{-}\sqrt{b^2-4ac} }{2a } = x[/tex].

To find the values of [tex]a[/tex],[tex]b[/tex] and [tex]c[/tex] we can compare the equation to the general equation.

Therefore: [tex]a=-5[/tex], [tex]b=9[/tex] and [tex]c=-4[/tex].

Now put these values into the quadratic formula:

[tex]\frac{-9\frac{+}{-}\sqrt{(9)^2-4(-5)(-4)} }{2(-5) } = x[/tex]

And simplify:

[tex]\frac{-9\frac{+}{-}\sqrt{81-80} }{-10 }[/tex] , [tex]\frac{-9\frac{+}{-}\sqrt{1} }{-10 }[/tex].

[tex]\sqrt{1} =1[/tex], therefore [tex]x = \frac{-9\frac{+}{-}1 }{-10 }[/tex]

Now we can have two values for [tex]x[/tex]. One when we take away the discriminant ([tex]b^2-4ac[/tex]) and one when we add it.

So [tex]x = \frac{-10}{-10} = 1[/tex]

or

[tex]x = \frac{-8}{-10} = 0.8[/tex]

Therefore [tex]x[/tex]-intercepts at [tex](1,0)[/tex] and [tex](0.8,0)[/tex]

25% of what number equals 100

Answers

Answer:

its 400

Step-by-step explanation:

hi! please help i’ll give brainliest

Answers

Answers:

deposition of eroded materials

Step-by-step explanation:

the answer would be deposition from eroded material because of W.E.D ( weathering, erosion , and deposition )

PLZ HELP 50 POINTS Which is the function represented by the table?

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled f (x) with entries 4, 5, 6, 7.

Answers

Answer:

the answer is a f(x)= x+5.

Step-by-step explanation:

the answer is f(x)= x+5 because in each row the value increases by 5.

Answer:

a

Step-by-step explanation:

hey i’ll give brainliest please help

Answers

Answer:

I believe it would be C if not then im sorry

Step-by-step explanation:

Jeff buys a cylindrical aquarium for his living room. The aquarium is 21.5 inches tall with a radius of 21 inches. What is the volume of the aquarium? Round answer to the tenth.

Answers

Sorry there isn't. I have experienced the same thing before an unfortunately I was not able to view the question after it was deleted. Sorry again :(

Can someone help me out my grads are bad

Answers

Answer:

The modes are 0 and 2. There are two because there are the same number of numbers. (four 0s and four 2s)

Describe the steps you can use to graph the function y=2x^2-8

Answers

Answer:

The first thing you need to find is the axis of symmetry by using

-b/2a

after you find that, use it to find the vertex of

x

2

+

8

In this case x should equal

0

so

y

=

0

2

+

8

giving just 8

the y-intercept is 8 as

c

=

8

the graph should look like this

graph{x^2+8 [-11.5, 8.5, 0.84, 10.84]}

it is a parabola.

https://socratic.org/answers/466874

or https://socratic.org/answers/466890

Step-by-step explanation:

600 students sat a Math exam. If 86% of students passed the exam, the percentage of people who FAILED is
with step to step calculation

Answers

Answer:

84

Step-by-step explanation:

100-86 is 14

14percent passed so it is 84

Can someone please help me out with this question please I beg you no links

Answers

The cost of each ticket was $17.50 dollars

A game has 50 cards with 10 each numbered 1 to 5,and a player must draw a 2 or a 3 to move out of the "start" position.

Answers

Answer:

The question isn't complete, so I will assume that we want to find the probability of moving out of the start position.

First, we know that there is a total of 50 cards.

of these 50 cards, we have:

10 with the number 1

10 with the number 2

10 with the number 3

10 with the number 4

10 with the number 5

To move out of the starting position, we need to draw a 2 or a 3.

And we have 10 of each, then there are 20 cards that allow us to move out of the start position.

The probability of moving out of the starting position in the first draw, is equal to the quotient between the number of cards that allow us to move out of the starting position (20) and the total number of cards (50), this is:

P = 20/50 = 2/5 = 0.4

Determine the volume of the rectangular prism. (3 points)
30/7 cm2
1/3cm

Answers

Answer:

10/7 cm^3

Step-by-step explanation:

I can only assume that '30/7 cm^2' represents the area of the base and 1/3 cm the height.  If and only if that is the case, then the volume is

V = (base area)(height) = (30/7 cm^2)(1/3 cm) = 10/7 cm^3.

Someone plz help me I beg u plz I need this I’ll really appreciate it

Answers

Answer:

i cant see the words

Step-by-step explanation:

I would ask a question but half the mfkas on here have failed me so many tests. So I j want to let you guys know that you all are r e t a r t e d.

Answers

Answer:

please dont use the r slur :)) and if you care so much about your grades, heres an idea!! study on your OWN and dont rely on others

Step-by-step explanation:

who's the queen of rap ?

Answers

Answer:

niki minaj " im the queen of rap" she said it

Step-by-step explanation:

Answer:

Nicki Minaj

Explanation:

Onika Tanya Maraj-Petty, known professionally as Nicki Minaj, has held the “Queen of Rap” title for at least ten years.

Which measure describes the standard error of the mean?

A.
the central limit theorem
B.
the confidence interval
C.
the sample mean
D.
the standard deviation of the means

Answers

Answer: the standard deviation of the means (D)

Step-by-step explanation:

can someone please help its my last one

Answers

Answer:

80 + 40 + (x + 64) = 180

120 + (x + 64) = 180

-120                  -120

x + 64 = 60

-64        -64

X = -4

Step-by-step explanation:

Let's double check

64 - 4 = 60

60 + 80 + 40 = 180 It works!

Therefore X = -4.

What is "y" when x = -2 in the equation y = 2x + 5

Answers

Answer:

2 x -2 + 5

-4 + 5

1 = y

Step-by-step explanation:

Plug in the value of X and do the equation.

Answer:

y = 1

Step-by-step explanation:

When x = -2 :

y = 2x + 5

y = 2(-2) + 5

y = -4 + 5

y = 1

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 70% pure antifreeze. The company wants to obtain 140 gallons of a mixture that contains 20% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed

Answers

Answer:

40 gallons of premium antifreeze and 100 gallons of water should be used to obtain 140 gallons of a mixture that contains 20% pure antifreeze.

Step-by-step explanation:

Since a chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture, and the premium antifreeze solution contains 70% pure antifreeze, and the company wants to obtain 140 gallons of a mixture that contains 20% pure antifreeze, to To determine how many gallons of water and how many gallons of the premium antifreeze solution must be mixed, the following calculation must be performed:

50 x 0.7 + 50 x 0 = 35

40 x 0.7 + 60 x 0 = 28

30 x 0.7 + 70 x 0 = 21

29 x 0.7 + 71 x 0 = 20.3

28.57 x 0.7 + 71.43 x 0 = 20

140 x 0.2857 = 40

Therefore, 40 gallons of premium antifreeze and 100 gallons of water should be used to obtain 140 gallons of a mixture that contains 20% pure antifreeze.

Find the area of that with explanations thanks

Answers

Answer:

900m or 300m

Step-by-step explanation:

45 x 20 = 900

30 x 10 = 300

The area is 1,200.

How to get your answer:
30x10= 300
45x20=900
900+300=1,200
I hope this helped you :)

Which best describes the function represented by the data in the table? linear with a common ratio of 2 linear with a common first difference of 2 quadratic with a common ratio of 2 quadratic with a common first difference of 2

Answers

Answer:

linear with a common first difference of 2

Step-by-step explanation:

If this is linear, the common first difference, or slope, will be the same throughout the entire table.

The formula for slope is

For the first set of points, we have:

m=(0--2)/(-2--3) = (0+2)/(-2+3) = 2/1 = 2

For the second set of points, we have:

m = (4-0)/(0--2) = 4/(0+2) = 4/2 = 2

For the third set of points, we have:

m = (12-4)/(4-0) = 8/4 = 2

The rate of change, or slope, is constant; this makes the function a linear function with a common first difference of 2

Hope it helps

Answer:

b on edge 2021

Step-by-step explanation:

ITS URGENT!!!!

SOMEBODY PLEASE HELP ME WITH THIS QUESTION!! YOU CAN SEE ALL THE ANSWER CHOICES IN THE PICTURE ABOVE!!! THANK YOU

Answers

Answer:

A

Step-by-step explanation:

y=2(x-3)^2-3

replace x for x in the table

so y=2(1-3)^2-3

            -2*-2

              4*2

                 8-3

                 y=5

just like in the table

Solve for x. The figure is a parallelogram

Answers

Answer:

x = 1

Step-by-step explanation:

The opposite angles in a parallelogram are congruent, then

94x + 1 = 95 ( subtract 1 from both sides )

94x = 94 ( divide both sides by 94 )

x = 1

Write a verbal description of the
meaning of f(3) = 6.

Answers

Answer:

When your input is 3, (x value), the y-value would be 6.

Step-by-step explanation:

Put these numbers in smallest to largest

Answers

3.07, 3.7, 3.77, 7.3, 7.33

3.07, 3.7, 3.77, 7.3, 7.33
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