What is the measure of each interior angle of a
regular 15-gon?

Answers

Answer 1

Answer:

156

Step-by-step explanation:

1) The formula for finding the sum of interior angles of an n-gon is 180(n-2)

2) Plug in 15 for n

180(15-2)

3) Solve

180(15-2)

180(13)

2340

4) There are 15 angles in a 15-gon

5) Divide sum of interior angles by number of interior angles

2340/15 = 156

6) So, the answer is 156 degrees


Related Questions

write the equation in vertex form: Vertex is (1.-3) and passes through the point (-1,5)

Answers

Answer:

y = 2(x - 1)² - 3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (1, - 3), thus

y = a(x - 1)² - 3

To find a substitute (- 1, 5) into the equation

5 = a(- 1 - 1)² - 3

5 = (- 2)²a - 3 ( add 3 to both sides )

8 = 4a ( divide both sides by 4 )

a = 2

Thus

y = 2(x - 1)² - 3 ← in vertex form

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

1 A

2 A

Step-by-step explanation:

1. steps can be positive whole numbers only

2. there is 15 steps

Please answer !!!!!!!! Will mark brainliest correct answer !!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

I had that same answer. I did it with my teacher and he said it was b

Given the points (-2,-4) and (-3,-5) what is the slope

Answers

Answer:

1/1

Step-by-step explanation:

how do we calculate on sixth of 42​

Answers

Answer:

1/6 of 42:

first, of is the same as multiplication so change this:

1/6 * 42

put 42 over 1 so they are both fractions:

1/6 * 42/1

Now solve:

42/6

= 7

:) brainliest?

(if u meant the sixth root of 42, it's about 1.86)

Answer:

7

Step-by-step explanation:

42/6=7

Using Ratios to Solve Problems - Item 1457 Question 4 of 7 Evan's family drove to a theme park for vacation. They drove the same speed throughout the trip. The first day, they drove 300 300 miles in 6 6 hours. The second day, they drove 250 250 miles in 5 5 hours. The third day, they arrived at the park after driving for 3 3 hours. How many miles did they drive on the third day?

Answers

Answer:

150 miles

distance travelled on the third day = 150 miles

Step-by-step explanation:

Note: it was given that they drove the same speed throughout the trip. That means their speed is constant for all days;

For the first day

distance = 300 miles

time = 6 hours

Speed = distance/time

Speed = 300/6 = 50 mph

on the third day;

time = 3 hours

Speed = speed on first day = 50 mph

distance = speed × time

distance = 50 mph × 3 hours

distance = 150 miles

distance travelled on the third day = 150 miles

if a man walks for 6 miles at a steady speed of 3 mph how long will it take him

Answers

Answer:

It will take 2 hours

Step-by-step explanation:

6/3 = 2

Answer:

2 hours

Step-by-step explanation:

3 miles + 3 miles = 6 miles

1 hour + 1 hour = 2 hours

help please, i will mark brainliest

Answers

Answer:

40

Step-by-step explanation:

We can see that at 1 minute there is 40 beats, at 2 minutes there is 80 beats, at 3 minutes there is 120 beats, at 4 minutes there is 160 beats and at 5 minutes there is 200 beats. If we divide each of the beats by its corresponding minute we will get 40

40 beats at 1 minute → 40 ÷ 1 = 40

80 beats at 2 minutes → 80 ÷ 2 = 40

120 beats at 3 minutes → 120 ÷ 3 = 40

160 beats at 4 minutes → 160 ÷ 4 = 40

200 beats at 5 minutes → 200 ÷ 5 = 40

Select the correct answer. In 2010, there were 400 frogs in the lake at a local nature preserve. Each year, the population of frogs grows by 10%. Which equation accurately describes the population of frogs, f(x), x years after 2010?

a) f(x) = 0.1(400)^x
b) f(x) = 10(400)^x
c) f(x) = 400(1.1)^x
d) f(x) = 400(0.1)^x

Answers

Answer:

400

Step-by-step explanation:

5=4=78+400

Answer: f(x)=400(1.1)^x

Step-by-step explanation:

What are two other words used for hypotenuse

Answers

Answer:

solo la conosco como ipotenuza

Step-by-step explanation:

Answer:

flank right-angled triangle right triangle

Step-by-step explanation:

Find the value of. (3° + 4 -¹) × 2²

Answers

Answer:

[tex]5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Pls help!! ASAP!!!!

Figure ABCD is reflected about the y-axis to obtain figure A′B′C′D′:

A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5.
Which statement best describes the relationship between the two figures? (4 points)

Figure ABCD is similar to figure A′B′C′D′.
Figure ABCD is bigger than figure A′B′C′D′.
The measure of angle D is equal to the measure of angle A′.
The measure of angle D is equal to the measure of angle B′.

Answers

Figure A’B’c’d is equal to the measure of angle A


Suppose figure A underwent a dilation to produce figure B. Are figure A and figure B similar?

Answers

Answer:

Figure A and B are still congruent to each other. the only change is the size of the shape.

Step-by-step explanation:

Yes, figure A and figure B similar because even though their side lengths are different, their internal angles are the same.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Suppose figure A underwent a dilation to produce figure B.

Now, A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

if Dilation factor  N then image Size is multiplied  by  N

if Scale factor  < 1 then image get reduced

if scale factor > 1  then image get enlarged

scale factor = 1 lead to Same size image

Hence, Figure A and figure B similar because even though their side lengths are different, their internal angles are the same.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ6

41 points. What is the range of this data set? 2.1, 2.6, 7.2, 5.5, 4.1, 5.5, 7.5, 6.1 A. 5.1 B. 5.5 C. 5.4 D. 7.5

Answers

Answer:

C. 5.4

Step-by-step explanation:

Range means highest number minus lowest number.

7.5 - 2.1 = 5.4

[tex]answer =5.4 \\ given \: data = 2.1 , 2.6 , 7.2 , 5.5 ,4.1 , 5.5 ,7.5 , 6.1 \\ range = highest \: score - lowest \: score \\ \: \: \: \: \: \: \: \: = \: 7.5 - 2.1 \\ \: \: \: \: \: = 5.4 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Evaluate and Solve 6x + 4 > 7

Answers

Answer:

x>1/2

Step-by-step explanation:

6x>3

x>1/2

Answer:

X>1/2

Step-by-step explanation:

6x + 4> 7

-4 on each side

6x > 3

Divide 6 on each side

X>1/2

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Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent.

Answers

Answer:

62.5 %

Step-by-step explanation:

Take the original amount and subtract the new amount

32-12 = 20

Divide by the original amount

20/32 =.625

Multiply by 100 to get to percent form

62.5 %

Which of these is an equation? 8t+4=76 8t+4 8z 8+4

Answers

Answer:

8t+4=76

Step-by-step explanation:

An equation needs an equals sign otherwise it is an expression

A recipe uses cup of brown sugar to make 18 cookies. How many cups of brown sugar are needed to make 45 cookies?

Answers

Answer:

2 and half

Step-by-step explanation:

Volume of a triangular prism 4 cm 9 cm and 5 cm

Answers

Answer:

180 cm³

Step-by-step explanation:

Volume = base area x height

4x9x5

Answer:

180 cm^3

Step-by-step explanation:

Vol = base time height times length

4 times 9 times 5 = 180

what is the meaning of the word 'coplanar'

Answers

Answer:

It means in the same plane

Circle O has a circumference of approximately 2507 ft.
What is the approximate length of the diameter, d?
40 ft
80 ft
125 ft
o
250 ft

Answers

Answer:

80 ft (b)

Hope it helps

Step-by-step explanation:

Circumference= π * diameter

Since the circumference is given..

250 = πd

d = 250/π

= 250/3.14

= 79.6

= 80 feet approx

Simplify the trigonometric expression sin(4x) +2 sin(2x) using Double-Angle
Identities.

Answers

Answer:

8sin(x)cos³(x)

Step-by-step explanation:

sin(4x) +2 sin(2x)  = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=

= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=

= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)

George used the diagram below to help determine 30% of 60. Which expression could George have used?

Answers

Answer:

(3)(6)

Step-by-step explanation:

1st. Find the answer(60*30%=18)

2nd. Find the option that equals 18 which was (3)(6)

Basically, for all of questions that ask for a different way to express it, multiply the total amount by the percentage(or decimal/fraction) and find the other expression with the same answer.

Answer:

(3)(6)

Step-by-step explanation:

i did the test

I don’t know if this is correct !!!! Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

1 correct

Step-by-step explanation:

switch 2nd and 3rd

2nd is positive and negative interval Jada needs to sell more than 3 kg in order to make a profit

3rd increasing and decreasing interval the more paprika Jada sells the more profit she makes

The two triangles below are similar. What is the similarity ratio of AABC to ADEF? (5 points)
2:1
1:2
2:5
5:2​

Answers

The ratio from ABC to DEF is 2:1

I attached the picture for this question

Answers

Answer: B or c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

g and h are supplementary angles meaning that they add up to 180.

Therefore what you have to do is do 180-g.

Since g equals 117, you do 180-117=63

How can I Simplify -(x+5)+3x

Answers

Answer:

2x - 5

Step-by-step explanation:

Distribute the negative sign outside of the parentheses first to get

-x -5 + 3x

Combine like terms

= 2x - 5

Answer:

2x-5

Step-by-step explanation:

=-(x+5)+3x

=-x-5+3x  opening brackets

=-x+3x-5

=2x-5

L+S = 17 3L + 2S=46
Please show your work

Answers

Answer:

S= 5, L= 12

Step-by-step explanation:

To find the value of L and S, we need to first label the 2 equations.

L +S= 17 -----(1)

3L +2S= 46 -----(2)

From (1):

L= 17 -S -----(3) (-S on both sides)

Subst. (3) into (2):

3(17-S) +2S= 46

3(17) -3S +2S= 46 (expand)

51 -S= 46

-S= 46 -51 (-51 on both sides)

-S= -5

S= 5 (divide by -1 throughout)

Subst. S=5 into (3):

L= 17 -5

L= 12

Solve for x.
7x+ 3
3x + 35

x = [?]

Answers

Answer:

Step-by-step explanation:

7x + 3 = 3x + 35

4x + 3 = 35

4x = 32

x = 8

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer & Step-by-step explanation:

The figure shown in the diagram is a square. Squares have equal lengths on all sides. So, in order to find out the side length, we will have to factor the area.

x² - 12x + 36

First, you will break down x² which will just be x and x. Since 12x is negative and 36 is positive, then we will use a minus sign.

(x - )(x - )

Now, we break down 36 which will be 6 and 6. After we do that, we will have our answer.

(x - 6)(x - 6)

So, the side length of the square is (x - 6) meters.

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