The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.

Answers

Answer 1

Answer:

60 sides

Step-by-step explanation:

The formula for the sum of the interior angles of a polygon with n sides is 180(n -2). The problem also tells you that each angle is 174, so the sum of the interior angles would also be 174n.

Then, you get the equation

180(n - 2) = 174n

180n - 360 = 174n

6n = 360

n = 60 sides.


Related Questions

Factor the quadratic expression completely.

Answers

i got -(3x - 5)(x - 4)

In June, Tara gathered data about amusement park attendance on days with different temperatures. Tara used the equation y=−3.5x+400 to model the number of children, y, at the amusement park as a function of the temperature, x. On a day in July, the temperature was 90°F and there were 60 children at the park. Which is the residual of this data point?

Answers

Answer:

25

Step-by-step explanation:

Given the model:

y=−3.5x+400

Number of children in amusement park = y

Temperature = x

On a certain day:

Temperature = 90°F

Number of children in park = 60

Using the model :

The predicted number of children in park when temperature is 90°F would be :

y = - 3.5(90) + 400

y = - 315 + 400

y = 85

Model prediction = 85 children

Actual figure = 60

Residual :

|Actual - predicted | = |60 - 85| = 25 children

HELP I HAVE TILL 12 AND IRS IN 20 MINUTES

Answers

35 degrees I believe

after completing a fraction division problem Claire use multiplication to check her answer division:7½ ÷ 1½ = 5 check: 5 × 1½ = 5½​

Answers

Claire did the check wrong. She should’ve multiplied 5 by 3/2.

Answer:

15/2 / 3/2= 15/2 * 2/3= 30/6= 5

5/1 * 3/2= 15/2= 6 3/2= 7 1/2

Step-by-step explanation:

Claire should have made the fractions into improper fraction so she could get the check part right.

What is the domain and range?


Answers

Answer:

The domain D = {0, 1, 2, 3, 4, 5}

The range R = {3, 4}

Step-by-step explanation:

Given the ordered pairs or points on the graph

{(0, 4), (1, 4), (2, 4), (3, 3), (4, 3), (5, 3)}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

Domain refers to all the possible sets of input values on the x-axis.

It means the set of all the x-coordinates of the given points or ordered pairs on a graph will be the domain.

Thus,

The domain D = {0, 1, 2, 3, 4, 5}

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.

Thus,

The range R = {3, 4}

Note: Please note that the duplicated elements in the range are written only once.

Find the value of x in the given right triangle

X= ?

Answers

What are the answer choices?

Answer:

7.5 is the answer to the question

Step-by-step explanation:

using tan

Please first person to answer question will be marked as branliest and will be given 5 likes
Please I beg u all

Answers

Answer:

A.) x=-3

B.) I have no clue I'm sorry I haven't learned anything over square method

Step-by-step explanation:

The number of zeroes at the end of the cube root of the number1000

Answers

Hey there!

The answer to your question is one zero.

To solve this, we can first start by finding the cube root.

[tex]\sqrt[3]{1000}[/tex]

The answer to this is [tex]10[/tex], because [tex]10 * 10 * 10 = 1000[/tex]

Now, we can see that there is one zero at the end of [tex]10[/tex].

Hope it helps and have a great day/night! Stay safe!

Jerry started doing sit-ups every day. The first day he did 18 sit-ups. Every day after that he did 2 more sit-ups than he had done the previous day. Today Jerry did 28 sit-ups. Enter an equation that could be solved to find the number of days Jerry has been doing sit-ups, not counting the first day.

Answers

Answer:

14 days

Step-by-step explanation:

28/2

What is the equation of the line that has a slope of 13 and goes through the point (6,−2)?

y=13x−8

y=13x

y=13x−4

y=13x+4

Answers

Answer:

           y = 13x - 80  

{Or, if you mean slope of 1/3:  y = ¹/₃x - 4 }

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = 13

(6, -2)    ⇒   x₀ = 6,  y₀ = -2

The point-slope form of the equation:

y + 2 = 13(x - 6)

So:

y + 2 = 13x - 78        {subtract 2 from both sides}

y = 13x - 80            ←  the slope-intercept form of the equation

{Or, if you mean slope of ¹/₃:  m = ¹/₃

The point-slope form of the equation: y + 2 = ¹/₃(x - 6)

y + 2 = ¹/₃x - 2         {subtract 2 from both sides}

y = ¹/₃x - 4             ←  the slope-intercept form of the equation}

Consider the polynomial 9n2+60n+100.
What are the square roots of the first and last terms?

square root of first term:

square root of last term:

Answers

First term: 3n
Last term: 10
Have a great day :)

Find the commission on a sale of $600 with a 5% commission rate.

Answers

Answer:

$30

Step-by-step explanation:

5% of 600 = 0.05 × 600 = 30

what is the equation of a line that is perpendicular to the line whose equation is Y=3/5x-2 and that passes through the point (3,-6)?

Answers

The answer is y=-5/3x-1

The equation of the line that  is perpendicular to the line whose equation is Y=3/5x-2 and that passes through the point (3,-6) is;  y=-5/3x-1

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Point (3,-6)

Then perpendicular line whose equation is Y=3/5x-2

Slope m = -3/5

Now Write the equation as;

y=-5/3x-1

Hence, the equation of the line that  is perpendicular to the line whose equation is Y=3/5x-2 and that passes through the point (3,-6) is;  y=-5/3x-1

Learn more about equations here;

brainly.com/question/25180086

#SPJ2


Determine if the function represented by the table is linear. Explain.
х -10 -14 -18-24
у 6 10 16 24

Answers

Answer:

The given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.

Step-by-step explanation:

Given the table

x     -10       -14         -18         -24

y       6         10          16          24

A linear function has a constant change in x and a constant change in y values.

In order to determine whether the table represents the linear function or not, we need to check whether there is constant change in x and y.

It is clear that there is a NO constant change in x

i.e. -14-(-10) = -4, -18-(-14) = -4, -24-(-18) = -6

It is clear that there is a NO constant change in y

i.e. 10-6=4, 16-10 = 6, 24-16 = 8

Therefore, the given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of \$200$200dollar sign, 200 a month and an additional \$12$12dollar sign, 12 for each album that he sells. Last month he earned a total of \$644$644dollar sign, 644.
Write an equation to determine the number of albums (a)(a)left parenthesis, a, right parenthesis Floyd sold last month.

Answers

Answer:

Equation to determine number of albums sold: 12a +200 = 644

Step-by-step explanation:

Given that:

Base rate earned by Floyd = $200

Amount for per album sold = $12

Let,

a be the number of albums sold by Floyd

Amount earned last month = $644

According to given statement;

Total earned = 12a + 200

12a +200 = 644

Hence,

Equation to determine number of albums sold: 12a +200 = 644

What are the coordinates for point a?

Answers

Answer:

2,3

Step-by-step explanation:

Answer:

(2,3) if the distance between each line is 1.

Step-by-step explanation:

4+5(2-3x)+4x
Help pls I need it FAST

Answers

The answer to the question is: 14-11x

Answer: 14 -11x

You first distribute 5 through the parenthesi to get 4 + 10 - 15x + 4x. Then calculate like terms to get 14 - 11x

In a gram panchayat election, candidate A
won with 220 votes where the number of
voters was 1,000. In another such election,
candidate B won with 300 votes where
the number of voters was 1,300. Who won
with the greater majority?

Answers

Candidate B as 300/1300 x 100 is 23.0769% and Candidate A got 220/1000 x100 which is 22%.

What is the most appropriate level of accuracy for measuring the height of a tree

Answers

Answer:

Step-by-step explanation:

Depends on the tree.

If it's like a pine or spruce, then I would use maybe 2 inches lattitude. If it's really leafy with big leaves, perhaps a little more lattitude is needed, like maybe 1/2 a foot.

It also depends on the season. Unless the pine or spruce is covered with snow, I wouldn't change the latitude. If it is covered with snow, knock the snow off.

For something like a maple in winter, I'd reduce the latitude to 3 inches......

what is the slope of the line that passes through the pair of points. (1,7) , (10 ,1)​

Answers

Answer:

-6/9 = -2/3 (C)

Step-by-step explanation:

a quadratic equation has two roots: -2 and 3.

Answers

Answer: B) Crossing the x-axis at -2 and 3

Step-by-step explanation:

What is the factored form of 343 + x^6?

Answers

Answer:

[tex](x^2+7)(x^4-7x^2+49)[/tex]

Step-by-step explanation:

Factor x^6+343, and you will get the answer above. Hope this helps :)

PLEASE HELPPP!!!Which function passes through the points 2,15 and 3,26?

Answers

Answer:

B. y = 11x - 7

Step-by-step explanation:

first we find the slope by using the formula

[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

Now let (2,15) be [tex](x_{1}, y_{1} )[/tex] , and (3, 26) be [tex](x_{2} , y_{2} )[/tex].  So now the slope is equal too.....

[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }= \frac{26 - 15}{3-2} = \frac{11}{1} = 11[/tex]

Now we use the slope-point form of the equation and obtain the following....

[tex]y - y_{1} = m(x - x_{1} )\\y - 15 = 11(x - 2)\\y - 15= 11x -22\\y = 11x - 22 + 15\\y = 11x - 7[/tex]

Ms. Martinez has a class of 16 students. She can spend $17 on each student to buy math supplies for the year. She first buys all of her students calculators,
which costs a total of $89.76. After buying the calculators, how much does she have left to spend on each student?
su

Answers

Answer:

none

Step-by-step explanation:

1. In a survey of villagers it is found that 20% of the people have visited Kano and 25% have visited Port Harcourt and 5% have been to both cities, what percentage have visited neither place

2. in a survey of 290 newspaper readers 181 of them read the daily times 142 read the guardian 117 read punch and each reads at least one of the three papers. If 75 read the daily times and the guardian, 60 read the daily times and punch and 54 read the gardian and and punch
a. draw a venn diagram to illustrate this information
b. how many readers read
I. all three papers
ii. exactly two of the papers
iii.exactly one of the papers
iv. the guardian alone​

Answers

Answer:

1. 60%

2a. (the diagram is attached)

b-i. 39

b-ii. 72

b-iii. I dont know...sorry :(

b-iv. 52

Step-by-step explanation:

1. U= 100%

Kano alone = 20-5= 15%

PH alone= 25-5= 20%

Kano n PH = 5%

None of the two= x

15+20+5+x= 100

40+x=100

X= 100-40

X= 60%

Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.

X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)

Which describes the rotation?

Answers

Answer:

The description of the rotation is 180 degrees clockwise or counterclockwise rotation

Step-by-step explanation:

Here, we want to get the kind of rotation that maps the triangle into its new coordinates

we have this as;

(x,y) to (-x, -y)

that will be ;

a 180 degrees rotation or counter clockwise rotation

180 rotation so A

Step-by-step explanation:

There was 20 coins and 4 bags and you have to put all the coins to make it even in all 4 bags how many coins go in each bag?​

Answers

Answer:

5

Step-by-step explanation:

20/4 = 5

5 coins go in each bag

Question:
A method of solving systems
of linear equations by______
an expression for a variable and then solving for the other variable is called_______
Answer choices:
•graphing
•substitution
•substituting
•solving
(help me please)

Answers

Answer:

substituting  & graphing

Step-by-step explanation:

pls help me look at the screen shot below

Answers

15,059pi

I included work in photo below. Say u used cylinder volume formula

Answer:

7241.25 mm squared

Step-by-step explanation:

The surface area of a cylinder is denoted by: , where r is the radius and h is the height.

Here, we know that the diameter is 39.2 mm, and since diameter is twice the radius, then r = d/2 = 39.2/2 = 19.6 mm. We also know that the height is 39.2 mm

using this formula for surface area of cyclinder: 2πrh+2π

diameter = 2r --> 39.2 = 2r

so r= 19.6

The answer is 7241.25 mm squared.

↓Practice Provided Below ↓

Which is equivalent to 80*
80
V80"
a
V80
80
Mark this and return

Answers

80 I believe.. I could be wrong though-
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