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Find the measures of an interior angle and an exterior angle of a regular 15-gon.
The measure of an interior angle is

Answers

Answer 1

The measure of each interior angle of the polygon is 156°.

What is the interior angle of polygon?

In a regular polygon, all interior angles are equal. The interior angle of a polygon = sum of interior angles and the number of sides is the formula for determining the size of an interior angle. A polygon's exterior angles add up to 360°.

Given that the number of sides of the polygon is 15. The sum of the interior angles of the polygon is calculated by the formula:-

Sum = ( n - 2 ) x 180

Sum = ( 15 - 2 ) x 180

Sum = 2340

The measure of each angle is calculated as:-

Angle = 2340 / 15

Angle = 156°

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Related Questions

there is a line whose y-intercept is 10 and whose slope is -1/2. what is its equation in slope-intercept form? y= x +

Answers

y=-1/2x + 10

This is simple

Aubrey's dinner cost $85 She tips the waitstaff 30%, percent for excellent service.

Answers

Answer:

She tipped $25.50 and paid a total of $110.50

Step-by-step explanation:

hope this helps you out

pls help asap i will give branilest

Answers

15.010495

The caluclator can comfirm

Once again, I’m wasting points to dazzle you all with my hand drawn cardboard cutouts of hanako and tsukasa. If you don’t know who they are then just admire the art and pretend I’m picasso. Bring up the mistakes and I’ll laugh along and criticize my art with you

Answers

Answer:

Cool art

Step-by-step explanation:

Answer:

sick bro, that's cool.

Step-by-step explanation:

do you read the manga, if you do then, broo the lastest chapter was        

                                                          nice

PLZ help me i need the answer asap 7th grade math

Answers

Answer:

43.98

Step-by-step explanation:

2(pi)(7)=43.98

2(pi)(r)

Yeah right absolutely nice

Solve the inequality.

Answers

Step-by-step explanation:

subtract the value by placing it in the right side and multiply with 4.

x ≤ 63.2

Interval notation:
(−∞ , 63.2]

Equations
f) The difference of the ages of two sisters is 5 years. After 4 years, if the product of
their ages becomes 104, find their present ages.​

Answers

Step-by-step explanation:

I hope this is correct.

please help anyone 15 points

Answers

Answer:

m<NOQ = 139°

Step-by-step explanation:

Since lines KM and NP are parallel, alternate exterior angles KLJ and QOP are congruent.

m<QOP = m<KLJ = 41°

Angles NOQ and QOP are a linear pair and are supplementary, so the sum of their measures is 180°.

m<NOQ + m<QOP = 180°

m<NOQ + 41° = 180°

m<NOQ = 139°

Coty painted a right triangle on paper. The hypotenuse of his triangle is 18 inches and one of the legs is 7 inches. What is the length of third side?

Answers

Answer:

G) 16.6

Step-by-step explanation:

We can use the pythagoriam theroem to solve the problem

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]a^{2} + 7^{2} = 18^{2}[/tex]

[tex]a^{2}[/tex] + 49 = 324

[tex]a^{2}[/tex] = 275

a = 16.6

To choose the 8 songs, the director writes the name of each of the 12 songs on a slip of paper, puts them in a hat, and draws 8 slips. What is the probability that the set s/he chooses contains two of the four songs that have soprano solos?

Answers

Answer:

0.339

Step-by-step explanation:

Given that :

Total number of songs = 12

Number of songs to choose = 8

Total number of draws = 8

Selecting 2 of the 4 songs with syprano solos : 4C2

The 6 remaining songs from. The rest:

12-4C8-2 = 8C6

Total possible selections = 12C8

Hence,

probability that the set s/he chooses contains two of the four songs that have soprano solos will be :

(4C2 * 8C6) / 12C8

(6 * 28) / 495

168 / 495

= 0.339

What is the value of x2 + 3.4y when x = 4 and y = 2?

Answers

Answer:

14.8

Step-by-step explanation:

4(2)+3.4(2)

8+6.8

14.8

A recipe needs 1/4 tablespoons salt. the same recipe is made 5 times how much salt is used?
BTW IM IN 8TH GRADE BUT THE SCHOOL HAS NUN 4 US TO DO SO NOW THERE MAKING US LEARN THE SAME STUFF AGAIN AND I DONT REMEBER SO YA

Answers

Answer:    1 and one fourths because 1/4 times 5 is 1 1/4

Step-by-step explanation:

Answer:

1 1/4 tablespoons

Step-by-step explanation:

1/4 x 5=1 1/4 tablespoons

Do the following lengths form a right triangle?

Answers

Answer:

2 3 4 do, 1 does not

Step-by-step explanation:

Using the Pythagorean Theorem, we can see that the square of the 2 smaller sides, when added together, is equal to the square of the longer side of each of the example triangles.

2 3 4 are the answers to this I’m sure

PLEASE HELP WILL GIVE BRAINLIEST

15-10 dividid by 5 times 2^2 in the correct order

Answers

Answer:

12 1/2

Step-by-step explanation:

Answer:

your answer is 4x

Step-by-step explanation:

15-10 is 5

5 divided by 5 is 1

1 times 2 greater than 2 is 4

4x is your answer

Have a good day

PLEASE HELP I CANT CONTINUE WITH MY WORK UNLESS THESE ARE COMPLETE AND CORRECT
IP Check: Solving Systems by Elimination
Teachers instructions:
Do not forget the PARENTHESIS in your answers.

Answers

Answer:

1) x=3, y=-3

Step-by-step explanation:

10x + 7y = 9 —— (1)

-4x -7y = 9 —— (2)

(1) + (2)

6x = 18

x = 18/6

x = 3

put x=3 in (1)

10(3) + 7y = 9

30 + 7y = 9

7y = 9 - 30

7y = -21

y = -21/7

y = -3

please give me brainlist if it is helpful for you

Which of the following shows the greatest percent increase?

A. 50 increased to 75
B. 500 increased to 700
C. 5,000 increased to 7,000
D. 50,000 increased to 74,000

Answers

a

i think this is right hope this helps :)

When someone throws a ball, the action force is the person pushing on the ball. What is the reaction force?
Give a real answer and explain.

Answers

Answer:

Should be : The Ball Pushing On The Person

Step-by-step explanation:

while the Air resistance answers have a point this question is asking about the reaction and the only reaction answer is the ball pushing on the person. every action has a reaction,

The ball wants to stay still so it pushes back on the person with all it's force, but the person pushes the ball with more force then the ball has so the ball rolls.

(may have explained it to much or weirdly sorry)

Is 299 in the sequence of 2 5 8 11 14 with 3n-1 as the term

Answers

Answer:

yes

Step-by-step explanation:

Equate

3n - 1 = 299 ( add 1 to both sides )

3n = 300 ( divide both sides by 3 )

n = 100

Then 299 is the 100 th term of the sequence

Which linear function represents the table
PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

The answer is D.

Step-by-step explanation:

Hope this helps

The answer is the most reasonable and I learned this as well.

Find the missing angle measurement in the triangle.

Answers

Answer:

the answer is C

Step-by-step explanation:

the right angle is = 90

the other angle= 55

so you add them together which makes 145

so subtract 180 which is = to a triangle subtract 180-145=35

Answer: C.)

Step-by-step explanation:

Triangle angles add up to 180 degrees.

The box is a right angle which equals 90 degrees.

55 degrees + 90 degrees = 145 degrees, but we need the sum to be 180, so we subtract 145 from 180 and you should get the answer of "35".

Plzzzzz help!
What is the perimeter of the composite figure?

Answers

Answer:

107.5 cm

Step-by-step explanation:

find the length of the missing side of triangle which is 22.5 rounded then add all the sides together

What is a equivalent expression to this expression?c(4a+b)

Answers

Answer: I think the answer is 4ca + cb

Answer:

The answer is 4ac+bc u have to multiply

can you please help me​

Answers

Answer:

b !! (0.5, 0.5)

Step-by-step explanation:

if you used the formula to find midpoint 9i included a picture, you would get the fractions (1/2, 1/2) !! that as a decimal is 0.5 !! so the answer is b !! i really hope this helps !!

please help me on this will give you brainliest

Answers

Answer:

ST =6.9

SR =15.9

Step-by-step explanation:

what is 64 ÷8 x 1/2 Please and Thank you

Answers

Answer:

4

Step-by-step explanation:

64/8 x 0.5 = 8 x 0.5 = 4

Can someone help me with this
I’ll mark as brainliest.

Answers

1 = 10
2 = 12
3 = 14
4 = 16
5 = 18
6 = 20


Δweight
------------- =
Δ cost

2-1
------- =
12-10

1

2

Answer:

The W/C is divided by the numbers on top to the number on the bottom

may i have brainlist??

find the value of 3 under root 54/250​

Answers

Answer:

Evaluate cube root of 250- cube root of 54

3√250−3√54

Simplify each term.

53√2−33√2

Subtract 33√2 from 53√2-

2^3√2

The result can be shown in multiple forms.

Exact Form:

23√2

Decimal Form:

2.51984209....

Step-by-step explanation:

Hope it is helpful.....

The value of 3 under root 54/250​ is 3 / 5.

What is a fraction?

A fraction is a numeral that represents a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

The given fraction is,

54 / 250.

To find the value of 3 under root 54 /250,

Find cube root of 54 /250.

∛(54 / 250)

= ∛(27 / 125)

= ∛27 / ∛125

= 3 / 5

The value of cube root of 54 /250 is 3/5.

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ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
Please answer the following essay question:
An isosceles triangle has two congruent angles. Write an expression to represent the measure of the third angle of the triangle. Explain.

Answers

Step-by-step explanation:

Let x be the size of 1 of the 2 congruent angles.

The size of the other congruent angle is also x.

Since sum of angles in a triangle = 180°,

Measure of 3rd angle in the triangle

= 180° - 1st angle - 2nd angle

= (180 - 2x)°.

Answer:

The Isosceles Triangle Theorem, All interior angles of a triangle add up to 180 degrees. Basically the equation would be (angle 1) + (angle 2) + (angle 3) = 180. whichever angle you dont have you replace with x and solve for it. For example if you had a triangle with two congruent angles of 36 then it would be 36+36+x=180 and you would solve it like any other equation eventually showing you that x = 108. it also works backwards if you are trying to solve for the 2 missing congruent angles.

Step-by-step explanation:

A rectangular playground is 65m long and 30 m wide. A pathway of 1.5 m width goes all around, outside it. Find the area of the pathway

Answers

Answer:

97.5 m^2

Step-by-step explanation:

Given data

Length = 65m

Width= 30m

We are told that the width of the path= 1.5m

Hence the area of the path is

=65*1.5

=97.5 m^2

The track team sold 40 t-shirts. Short sleeve t-shirts sold for $9.90 and long sleeve
t-shirts sold for $12.75. In all, $421.65 was taken in.
How many short sleeve t-shirts were sold?

Answers

No it’s not like him I’m not it would have Ben 3.4 shirts left

Answer:

The track team sold 31 short sleeved t-shirts.

Step-by-step explanation:

If there were 40 t-shirts sold, then you'd have to find how many short sleeved and long sleeved t-shirts were sold to get the amount of money made. Basically, all I did was start with 20:20. I multiplied the cost of each type of shirt by 20, however, the money from selling long sleeved t-shirts is a lot more than the actually amount. So then, I went to 30:10 with short sleeved and then long sleeved. The amount (when added together) was pretty close to the actual amount but it was still a tiny bit higher than the actual. So, I did 31:9 and the amount came out right.

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