Work out the number of sides of a regular polygon, if the interior angle is 177

Answers

Answer 1

Answer:

Let the number of sides be x.

One interior angle is 177°

One exterior angle is 180-177   (linear pair)

                                   = 3°

Exterior angle × Number of sides = 360

3*x = 360

x = 360/3

x = 120

Therefore, the polygon has 120 sides.

Answer 2

If the interior angle of a polygon is 177° then the number of sides is 120.

What is a polygon?

A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.

Each line of the polygonal circuit's segments are referred to as its edges or sides.

We know, Interior angle = 180(n-2)/n, where 'n' is the number of sides.

Given, A regular polygon has interior angles of 177°.

Therefore,

177 =  180(n-2)/n.

177n = 180n - 360.

- 3n = - 360.

3n = 260.

n = 360/3.

n = 120.

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Related Questions

Find the slope of the line given the pair of points.
(-4,-10), (-10,5)

Answers

Answer:

15/-6   or   -2.5

Step-by-step explanation:

m=y2-y1/x2-x1

5-(-10)=15

-10-(-4)=(-6)

15/-6=(-2.5)

hope this helps :3

if it did pls mark brainliest

Answer: -5/2

Step-by-step explanation: Using the slope equation, slope = (y₂ - y₁) / (x₂ - x₁). Your slope would be -5/2 hope this helps! :)

A photographer charges a sitting fee of $15 plus $3 for each pose. Write a function to describe the situation. Find a reasonable domain and range for up to 5 poses.
Please help i really don't understand how to find the domain and range.

Answers

Answer:y=3x+15

Step-by-step explanation: (1,18), (2,21), (3,24), (4,27), (5,30) domain is your x values 1,2,3,4,5. Range is your y values. I’d assume someone wouldn’t pay $15 for 0 poses.

The function for the given situation is f(x)=15+3x and  a reasonable domain and range for up to 5 poses is 5 and 30 respectively.

Given that, a photographer charges a sitting fee of $15 plus $3 for each pose.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Let the number of poses be x and the total cost be y.

The function for the given situation is y=15+3x

Thus, f(x)=15+3x

For 5 poses:

Put x=5 in the obtained function, we get

f(5)=15+3(5)

= 15+15

= 30

So, the ordered pair is (5, 30)

Hence, the function for the given situation is f(x)=15+3x and  a reasonable domain and range for up to 5 poses is 5 and 30 respectively.

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Choose the correct description of the graph of the compound inequality (1 point)

3x + 2 > 2 and 3x less than or equal to 6.

Question 17 options:

1)

A number line with an open circle on 0, shading to the left, and a closed circle on 2, shading to the right

2)

A number line with a closed circle on 0, shading to the left, and an open circle on 2, shading to the right

3)

A number line with a closed circle on 0, an open circle on 2, and shading in between

4)

A number line with an open circle on 0, a closed circle on 2, and shading in between

Answers

ycctc4ctctctctctctctctc5ctvtv5crctc5ctv5

In a Black Friday sale, if you buy 5 video games for $ 39.99 each, you get 1 free. After the offer, how much does each video game cost?

Hint: First find the cost for the 5 video games.

Write your answer in money format: round up to write 2 decimal places.

Answers

Answer:

$200.00

Step-by-step explanation:

Round the $39.00 to $40.00 then add it all together because you can't forget the taxes.

Answer:

40 dollars???

Step-by-step explanation:

The total cost for the 5 games is 200 dollars cuz 40 x 5 = 200. so if its asking for the cost of each its 40 dollars or $ 39.99

Does this graph represent a function? Why or why not?

A. No, because it fails the vertical line test.
B. No, because it is not a curve.
C. Yes, because it passes the vertical line test.
D. Yes, because it has two straight lines.

Answers

answer: a

explanation: the vertical line test tests if the line is a function by stating that if it intersects the graph more than once it is not a function. if you drew a straight line through this line it would touch the graphed line twice, meaning it’s not a function.

Noel bought 4 T-shirts and 2 pairs of pants for $92. The cost of each pair of pants is $22.
If all the T-shirts cost the same amount, the cost of each T-shirt is $

Answers

Answer:

each shirt costs $12.

Step-by-step explanation:

Answer: T shirt cost 12 dollars

Step-by-step explanation: The equation is 4x+44=92. Subtract 44 from both sides it becomes 4x=48. Divide it by 4 on both sides and the answer is x=12.

Look at the picture please!!!!

Answers

Answer:

Angle 1: 131

Angle 6: 49

Answer:

m∠1 = 131º

m∠6 = 49º

Step-by-step explanation:

So we know that a straight line is equal to 180º and we already know the measure of angle 8 (49º) so to find the measure of angle 7, we just subtract 49 from 180.

180 - 49 = 131

So m∠7 = 131º

Now because of the alternate exterior angle rule, we can now find out that m∠7 is the same as m∠1

Now for the measurement of angle 6, we know that it's 49º because of the vertical angles rule.

whats the surface area of this shape?

Answers

Answer:

168 square units

Step-by-step explanation:

From left to right, top to bottom

1. 5 x 10 = 50

2. 5 x 8 = 40

3. 5 x 6 = 30

For the triangles since there is 2 of them and there the same we play it like there is 1 square

4 & 5. 8 x 6 = 48

Now add all them

50 + 40 + 30 + 48

50 + 40 = 90

30 + 48 = 78

90 + 78 = 168

Answer:

168 square units

Step-by-step explanation:

5*10 = 50 (left rectangle)

8*6 = 48 (top and bottom triangles, not dividing by 2 as there is two of that exact shape)

5*8 = 40 (middle rectangle)

6*5 = 30 (right rectangle)

Add them all up

50+48+40+30 = 168.

Evaluate: 2! + (8 - 3)!

Answers

Answer:

122

Step-by-step explanation:

2! = 2

(8-3)! =

(5)! = 120

2+120 =122

If x= time in minutes, y= distance in miles, and y=1/6x. How far can you run 5 points
in 3 hours? Please please help

Answers

Answer: 30 miles

Step-by-step explanation:

3 hours is 180 minutes.

y=1/6(180)

y=30 mi

Tiffany took her friends out to dinner. If the dinner was $29.53 and she gave a 20% tip, how much money did she spend on dinner?

Answers

Answer: The answer is 35.43 because 29.53 times 20% is 5.90, so you add 5.90 to 29.53 to get 35.43.

Write an equation of the line with a slope of -2/7 and y intercept of 5

Answers

Answer:

y = -2/7+5

Step-by-step explanation:

Hope this helps!

Which statement about AABC and ADEF is true?

^^^
A.
B.
C.
D.

Answers

C is the correct answer! If it’s wrong I’m so sorry huh

Is (2, 2) a solution of y < 4.x - 6?

yes or no​

Answers

Answer:

No

Step-by-step explanation:

y<4x-6

2<4(2)-6

2<8-6

2<2

No because it would be less than or equal to

Answer:

No

Step-by-step explanation:

y < 4x - 6

(2) < 4(2) - 6

2 < 8 - 6

2 < 2

2 is not less than 2 so NO

Simplify

25yz^3/5y^2z^4

Answers

Answer:

5/yz

Step-by-step explanation:

25yz^3/5y^2z^4

5yz^3/y^2z^4

5y^1-2z^3-4/1

5y^-1z^-1/1

5/yz

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours. Which times and distances are represented by the function? Select three options. The starting distance, at 0 hours, is 300 miles. At 2 hours, the traveler is 725 miles from home. At 2.5 hours, the traveler is still moving farther from home. At 3 hours, the distance is constant, at 875 miles. The total distance from home after 6 hours is 1,062.5 miles.

Answers

Answer:

B, D, E

Step-by-step explanation:

The times and distances that represents the travelers motion are;

At 2 hours, the traveler is 725 miles from home.At 2.5 hours, the traveler is still moving farther from home.At 3 hours, the distance is constant, at 875 miles.The total distance from home after 6 hours is 1,062.5 miles.

The given parameters;

[tex]D(t) = 300t \ + \ 125, \ \ \ \ \ 0\leq t\leq 2.5\\\\D(t) = 875, \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2.5 \leq t\leq 3.5 \\\\D(t) = 75t + 612.5 , \ \ \ \ \ \ 3.5 \leq t\leq 6 \\\\[/tex]

From the given distance function, we can calculate the distance traveled at each time;

at 0 hours, the starting distance of the traveler is calculated as;

[tex]D = 300(0) + 125\\\\D = 125 \ miles[/tex]

at 2 hours, the distance traveled is calculated as;

[tex]D = 300(2) + 125\\\\D = 725 \ miles[/tex]

at 2.5 hours, the distance traveled by the traveler is calculated as;

[tex]D = 300(2.5) + 125\\\\D = 875 \ miles[/tex]

At 3 hours, the distance traveled by the traveler is calculated as;

[tex]D(t ) = 875 \ \ \ \ \ 2.5 \leq t \leq 3.5\\\\D(3) = 875 \ miles[/tex]

The total distance from home after 6 hours is calculated as follows;

[tex]D = 75(6) \ + \ 612.5\\\\D = 1,062.5 \ miles[/tex]

Thus, the times and distances that represents the travelers motion are;

At 2 hours, the traveler is 725 miles from home.At 2.5 hours, the traveler is still moving farther from home.At 3 hours, the distance is constant, at 875 miles.The total distance from home after 6 hours is 1,062.5 miles.

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A rectangular window is 4ft long and 3ft wide what is the area in square inches

Answers

Answer: 12 inches squared

Step-by-step explanation: 3x4

Answer:

1728 inches

Step-by-step explanation:

Convert each measurement to inches:

1 foot = 12 inches4 ft = 12 × 4 = 48 inches3 ft = 12 × 3 = 36 inches

Find the area:

48 × 36 = 1728

I hope this helps!

Rosa is saving money for a tripShe has already saved $250 and plans to save $40 per week. This situation can be represented by the function f(x) = 250 + 40x , where x is the number of weeks. How much money has Rosa saved after 6 weeks? (5 points ) 1 ) $ 490 2 ) $ 480 3 ) $ 250 4 ) $ 240

The answer is $490..
just trying to help people get points

Answers

Answer:

490

Step-by-step explanation:

Thanks!

You move down 6 units and left 9 units. You end at (-5, -3). Where did you start?

Answers

(4, 3) i think lol goodluck

The difference between John and
Jane's college tutition was
$1,130.75. If Jane's tuition was
$45,000.00, what are the two
possible costs for John's tuition?

Answers

Answer:

$46,130,75 or $43,869.25

Step-by-step explanation:

Marsha initially deposited $98,232 into her checking account in January. She deposited $14,443 into her account at the beginning of every month starting in February. About how much money will she have at the end of April?

Answers

Equation = 14,443x + 98,232
February till April = 3 months
14,443(3) + 98232 = $141,561

First we have to subtract 14,443 from 98,232 since deposit means take out. Now that would become 83,789 so that would continue from Feb to April that would be about 3 times so we have to keep subtracting 14,443 or just do 14,442 since we have to do this 3 times and then subtract 98,232 from 43326(the answer from 14,442*3)  and we get 54906 as our final answer!

You walk 2/5 miles to a clothing store. Then you walk another 1/2 miles to a music store. How many miles have you walked in all?

Answers

Answer:

9/10ths of a mile. Or 0.9 miles.

Step-by-step explanation:

To get the total it's helpful to look at it in decimals:

2/5 mile = 0.4 miles (1 mile divided by 5 = 0.2 miles, times that by 2)

1/2 mile = 0.5 miles

Add them together = 0.9 miles.

Which is 9/10ths of a mile.

The total distance walked will be equal to [tex]\frac{9}{10}[/tex] miles or 0.9 miles.

It is given that you walk 2/5 miles to a clothing store and then walk another 1/2 miles to a music store.

We have to find out the total distance in miles that you have walked.

What do you mean by fractions ?

A fraction can be defined as a portion or part of any quantity or it defines a part of a whole.

As per the question ;

You walk 2/5 miles to a clothing store

and

then ; walk another 1/2 miles to a music store.

To find out the total distance walked by you in total , we need to add both the distances given in the question.

i.e.,

Total distance will be ;

= [tex]\frac{2}{5}[/tex] + [tex]\frac{1}{2}[/tex]

= [tex]\frac{4+5}{10}[/tex]

= [tex]\frac{9}{10}[/tex] miles

or

= 0.9 miles

Thus , the total distance walked will be equal to [tex]\frac{9}{10}[/tex] miles or 0.9 miles.

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A Ferris wheel 80 meters in diameter turns continuously, completing a single rotation once every 8 minutes. You must board the Ferris wheel at its lowest point from a platform located 5 meters above the ground. If you board the Ferris wheel at t=0, write and sketch a sinusoidal function to model your height above the ground after t minutes on the Ferris wheel. How high above the ground will you be after 5 minutes? How many minutes into the ride will it be when you first reach 35 meters above the ground?

Answers

Step-by-step explanation:

General form of a sine or cosine wave is:

y = ±A sin((2π/T) t) + B

y = ±A cos((2π/T) t) + B

where A is the amplitude, T is the period, and B is the vertical offset or midline.

The Ferris wheel is 80 meters in diameter or 40 meters in radius.

A = 40

The Ferris wheel turns once every 8 minutes.

T = 8

The lowest point is 5 meters above the ground, so the center of the Ferris wheel is 45 meters above the ground.

B = 45

At t=0, you're at the lowest point, so use -cos.

Therefore, the equation is:

y = -40 cos(2π/8 t) + 45

y = -40 cos(π/4 t) + 45

When t = 5:

y = -40 cos(5π/4) + 45

y = 20√2 + 45

y ≈ 73.3 meters

When y = 35:

35 = -40 cos(π/4 t) + 45

-10 = -40 cos(π/4 t)

1/4 = cos(π/4 t)

π/4 t ≈ 1.318

t ≈ 1.68 minutes

What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?

Answers

Answer:

0.075

Step-by-step explanation:

4x+c=w make x a subject
plz help me
answer me fast
and i want answer kn step by step

Answers

Answer:

x =w-c/4

Step-by-step explanation:

solution

here,

4x+c=w

or, 4x=w-c

:.x=w- c/x

As x subject, the linear equation is x = 1/4(w -c).

What is linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

We have a linear equation,

4x+c=w.

To make x a subject:

4x = w - c

x = 1/4(w -c)

Therefore, the expression is x = 1/4(w -c).

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HELPPPP PLEASEEE ASAPPPPP

Answers

Answer:

Step-by-step explanation:

PQRS

PQ + QR + RS + PS = 186

RS = SP - 7

PQ = RS = x - 7

QR =  PS = x

2x + 2(x - 7) = 186

4x = 200

x = 50

PQ and RS = 43

QR and SP are 50

the answer is 43 & 50 ^^

determine the slope of the line that passes through each pair of points (3,8) and (1,5)

Answers

Answer:

3/2

Step-by-step explanation:

Select the correct answer.
What is the product of (7/8)(-16)(-7)(-1/14)
A -7
B -9/16
C -1/7
D 23/12

Answers

Answer:

A -7

Step-by-step explanation:

[tex]\frac{7}{8}[/tex] * -16 = -14

-14 * -7 = 98 (2 negatives make a positive)

98 * [tex]\frac{-1}{14}[/tex] = -7

I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?

Example: 110=2∙5∙11. Factors of 110:1, 2, 5, 11, 2∙5, 2∙11, 5·11, 2∙5∙11.

Problem : 1001=7∙11∙13

Answers

9514 1404 393

Answer:

  18

Step-by-step explanation:

Only 1 and 2 will have single-digit cubes. Only 1^3 will still be a single digit after 7 is added. The tens digit must be 1, and the units digit must be 1+7=8.

The number is 18.

11. The front and back walls of The front and back walls of an A-frame cabin are isosceles triangles, each with a base measuring 22’ and legs measuring 28’. The entire front wall is made of glass. If area = 1/2b*h how many square feet of glass is
needed.

Answers

Answer:

Total area = 308'

Step-by-step explanation:

Given:

Base = 22'

Height = 28'

Find:

Total area

Computation:

Total area = 1/2[b][h]

Total area = 1/2[22][28]

Total area = 308'

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