2. Find the measure of each exterior angle of regular polygons (any two). (2x2=4).
(a) Pentagon (b) Heptagon (C) Decagon (d) 18-gon (e) 20-gun​

Answers

Answer 1

Answer:

a) 72

b) 60

c) 51.43

d) 24

Step-by-step explanation:

The measure of each exterior angle of a regular polygon =

n

360

⇒ The measure of each exterior angle of a regular pentagon =

5

360

=72

⇒ The measure of each exterior angle of a regular hexagon =

6

360

=60

⇒ The measure of each exterior angle of a regular heptagon =

7

360

=51.43

⇒ The measure of each exterior angle of a regular polygon of 15 sides =

15

360

=24


Related Questions

What are the coordinates of the point on the directed line segment from (−4,10) to (-2, -2) that partitions the segment into a ratio of 3 to 1? HURRYYYY!!!!

Answers

Answer:

(-2.5 , 1)

Step-by-step explanation:

the x- coordinates :

[(3×(-2)) + (1×(-4))] /(3+1)

= (-6 +(-4))/(4)

= -10/4

= -2.5

the y-coordinates :

[(3×(-2)) + (1×10)] / (3+1)

= (-6+10)/(4)

= 4/4

= 1

so, the coordinates are (-2.5 , 1)

Answer:

(-2.5, 1)

Step-by-step explanation:

Directed line segment from (−4,10) to (-2, -2).

The ratio = 3/1.

The coordinates are:

x = -4 + 3/4*(-2 - (-4)) = -4 + 3/4*(2) = -4  + 1.5 = - 2.5y = 10 + 3/4(-2 - 10) = 10 + 3/4*(-12) = 10 - 9 = 1

Help please hurry i need done in 20 minutes

Answers

Answer:

OKAY I WAS STRESSING FOR A QUICK MINUTE THINKING I WAS GETTING SOMETHING WRONG BUT THINK THE ANSWER IS CORRECT

So Cos0= 15/64 (SIMPLIFIED) or in decimal form 0.234375

Step-by-step explanation:

7/8² is 49/64 or (in decimal form) 0.765625

1 - 0.765625 = 0.234375

Question
In a survey of 50 students about television viewership, 25 reported that they watch program X, 18 reported
that they watch program Y, and 14 reported that they watch neither of these programs. How many of the 50
students reported that they watch both program X and program Y?
O 7
11
O 15
18

Answers

Answer:

18....I hope thats righ

Step-by-step explanation:

How to write 72,932 expanded form?

Answers

70,000 + 2,000 + 900 + 30 + 2

Answer:

70,000+ 2,000 +900 +30 + 2

in expanded form

Step-by-step explanation:

The average cost to own and operate a car in the United States for 2020 was $0.524 per mile.
What is the algebraic expression to describe the total cost to operate a car manually for “m"
miles?

Answers

Answer:

y = 0.524m + b is the answerrrr

What is the slope of a line perpendicular to the line whose equation is x+y=5x+y=5. Fully simplify your answer.

Answers

Answer:

1

Step-by-step explanation:

x+y = 5

Put this equation in slope intercept form y = mx+b where m is the slope

y = -x +5

The slope of the line is -1

Perpendicular lines have slopes that multiply to -1

-1 * m = -1

m = 1

The slope of the perpendicular line is 1

What is 4 x 2? thank you!

Answers

Answer:

8

Step-by-step explanation:

4 + 4 = 8

4 x 2 = 8

hope this helps

Answer:

answer is 8 because 4+4 =8 and 2+2+2+2 =8

In the figure below, S is between Q and T, and R is the midpoint of QS. If RT = 14 and RS = 6, find QT.

Please Help Quickly!

Answers

Answer:

QT = 26

Step-by-step explanation:

QT = RT + QR + RS

QR = RS

QT = 14 + 6 + 6

QT = 20 + 6

QT = 26

Please help quickly its super late

Answers

Answer:

45 - (6 x 5) = t

Step-by-step explanation:

please mark brainliest

Answer:

45=6(5)+t

$15

Step-by-step explanation:

The equation used to describe this situation would be y=6x+t, where y is the total amount Jonny made, x is the number of hours worked, and t is the total tips. The problem tells us that Jonny made $45 total and worked for 5 hours. So, to solve plug these numbers in and solve for t. The number equation looks like, 45=6(5)+t.

Then, to solve first distribute the 6.

45=30+t

Next, subtract 30 from both sides

15=t

That is your final answer, Jonny made $15 in tips.

Solve the equation z^4+4z^2+16=0

Answers

Answer:

As this is a quartic equation, we should expect four roots (although some may end being repeated). Notice also that the equation is symmetrical, which suggests that there might be an element of symmetry in the answer.

First, as this equation is a quadratic in terms of z2 , we can use our formula for finding the roots of a quadratic equation to give the value(s) of z2 . [If you have a problem seeing this, use the substitution y=z2 , and you get a quadratic in y .]

z2=−4±42−4×1×16√2×1=−4±16−64√2

=−4±−48√2=−2±12−−√i=−2±23–√i

=4(−12±3√2)i

=4(cos(2kπ3)+isin(2kπ3)) , where k∈1,2

=4e2kiπ3

As this is the value of z2 , whereas we want z , we need to take the square roots of both sides

z=4–√ekiπ3+nπ , where n∈0,1

=2e(k+3n)iπ3

=2cis((k+3n)iπ3)

As we have two values of k and two values of n , this gives us four solutions.

Writing these angles in terms of degrees, we have: 60, 120, 240 and 300

Evaluating, we end up with the four solutions

z=1±3–√i∪z=−1±3–√i

You can substitute z^2 = x,

Then you get x^2+4x+16=0

Step-by-step explanation:

z=1±3–√i∪z=−1±3–√i

You can substitute z^2 = x,

Then you get x^2+4x+16=0

Then you can use classical x1,2 = (-b +- √[b^2–4ac])/2a

X1,2=(-4+-√[16–16*4])/2

After you solve that you substitute back z^2 = x

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $29 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has an $11 monthly fee and charges an additional $0.17 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?

Answers

Answer:
With 250 minutes of calls the cost of the two plans is the same

Step-by-step explanation:
We must write an equation to represent the cost of each call plan.
For the first plan
Monthly fee
$ 13
Cost per minute
$ 0.17
If we call x the number of call minutes then the equation representing the cost c for this plan is:

For the second plan
monthly fee
$ 23
Cost per minute
$ 0.13
If we call x the number of call minutes then the equation representing the cost c for this plan is:

To know when the cost of both plans are equal, we equate the two equations and solve for x.



With 250 minutes of calls the cost of the two plans is the same: $55.5

How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 10% ​antifreeze?

To obtain a 10% antifreeze​ solution, _ ​gallon(s) of water should be added.

Answers

Answer:

Let x = amount of water to be added with 0% antifreeze

1 = amount of pure antifreeze at 100%

x+1 = amount of the mixture at 60% antifreeze

Step-by-step explanation:

1= .60x + .60

Subtract .60 from each side:

1-.60 = .60x

.40 = .60x

Divide both sides by .60

Check: Total antifreeze = 1 gallon in total mixture of 1 + 2/3 gallon = 5/3 gallons. 1 gallon divided by 5/3 equals 3/5 which is 60%. It checks.

Solve by factoring:

3x−17x^1/2+10=0

Answers

Answer:x=5,2/3

Step-by-step explanation:

-b plus over minus square root over b squared -4(ac)/2a

17 plus over minus square root (-17) squared -4 x (3 x10)/2 x 3

x= 17 plus minus 13/6

x=5,2/3

Find the midpoint of CD with endpoints C (6,-9) and D (0,15)​

Answers

Answer:

1.5

Step-by-step explanation:

One angle of a triangle measures 102°. The other two angles are congruent.

Enter and solve an equation to find the measure x of the congruent angles.

An equation is_______ = 180.

The congruent angles each measure _______°.

Answers

Answer:

if i am rightthe two other angles arre 39

Step-by-step explanation:

if a triganle is 180 degrees and you have already one angle then all you do is subtract 180 and 102

180-102= 78

then since you need the other two angles all you do is divide it by 2

so 78/2= 39 so the two missing anlges are 39

is 2 1/3 a rational number

Answers

The mixed number 2 1/3 is a rational number. It can be written as the improper fraction 7/3.

Answer:

it is a rational number.

Step-by-step explanation:

rational numbers are numbers which can be written as a fraction.

The following are all 5 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale.

Answers

Answer:

I think

Category: Calculus and Above

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Hope this help! Try my best :)

HELP PLS!!! You invested ​$25,000 in two accounts paying 7% and 8% annual​ interest, respectively. If the total interest earned for the year was $1900, how much was invested at each​ rate?

Answers

All u have to do is divide the answer is %3

Name the geometric solid suggested by a teepee.
cylinder
sphere
cube
cone

Answers

Answer:

It's a cone

A teepee is in the shape of a cone

V=S^3 S=20 please help me lol

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:

V = 8,000

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Evaluating...}}\\\\V=s^3\\-----------\\\rightarrow V=(20)^3\\\\\rightarrow V = 20 * 20 * 20 \\\\\rightarrow V = 8,000[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Find x and RS if RS = 5x, ST = 3x, and RT =48

Answers

Answer:

x = 6, RS = 30

Step-by-step explanation:

5x + 3x = 48

8x = 48

8x/8 = 48/8

x = 6

RS = 5x

RS = 5(6)

RS = 30

What is the value of x?
A
60°
95-
A. 1550
B. 60°
C. 35°
D. 25°

Answers

180° - 95° = 85°

x = 180° - 85° - 60°

x = 35°
The value of x is c which is 35

8x+9 equals 5X +6 what is the value of X

Answers

8x + 9 = 5x + 6

8x - 5x = 6 - 9

3x = -3 / : 3

x = -1 ← the end answer

Is (1,3) a solution of y = 3x2?

Answers

No this is the awnser-3x+y=2

how to calculate angle which is 25 degree?

Answers

For calculate a angle we use Protactor .First place the protractor at 0 and starting point of angle .Now count the angle where it meets .

plsssssssssss helpppppppppppppppppppppppp

Answers

Answer:

6ft

Step-by-step explanation:

Just use 11 ft - 5ft = 6 ft

Have a good day

Can someone help me?? 3+3

Answers

Answer:

6

Step-by-step explanation:

count your fingers

The answer is 6 . I hope this helped you

Dominic earns $14.25 an hour. Last week he worked 28 hours. How much did Dominic earn last week?

Answers

Answer:

$399

Step-by-step explanation:

If he earns $14.25 an hour and works 28 hours, we can find out how much he's earned by multiplying the rate per hour by the number of hours,

14.25 × 28 =

399

He earned $399 last week.

Lian has $1.00 . She has only nickles and dimes. Lian has twice as many dimes and nickles

Answers

Answer:

4 nickels and 8 dimes

Step-by-step explanation:

4 nickels is 0.20 and 8 dimes is 0.80

Answer:

4 nickles 8 dimes

Step-by-step explanation:

4 nickles 8 dimes

A car travels at a constant speed of 20m/s.Work out the distance travelled [in meters] by the car after (a) 4seconds (b) 12seconds (c) 3mins (d) 2hrs​

Answers

Answer:

This is quite an easy question u should try it yourself

Step-by-step explanation:

The formula is

V= d / t

Therefore the distance is

D = vt

So since they alredy gave u that v = 20m/s

Just put in the time, remember to change it to seconds

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