Find the size of each interior angle of a regular polygon of 15 sides.

Answers

Answer 1

Answer :

156°

Explanation :

Each triangle has an angle sum of 180 degrees.

The sum of the interior angles of the 15 sided polygon =

(n-2)180°

(n-2)180°

(15-2) × 180°

13 × 180 = 2340 °

Since the 15 sided polygon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of

2340° ÷ 15 = 156 °each


Related Questions

A boy saves up $74 for a gift for his friend. However, upon reaching the store, he realizes that he saved 128% of the actual amount he needed to buy the present. How much does the present cost? Round to the nearest cent. (marking brainliest)

Answers

Answer:

57.8325

Step-by-step explanation:

74=128% x whole

74/128%= whole

57.8125=price if the present

Please help!

Jamal deposited $4,253 in a savings account earning 1% interest, compounded annually.

To the nearest cent, how much will he have in 4 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

4425.7

Step-by-step explanation:

Answer:

He will have  $4425.69 in 4 years

Step-by-step explanation:

Notice that the principal p = $4253

The interest (1%) in mathematical terms is given by: 0.01

the time t = 4 years

therefore the formula for these values becomes:

[tex]B=p(1+r)^t\\B=4253\,(1+0.01)^4\\B=4253\,(1.01)^4\\B=4425.68885[/tex]

Which rounded to the decimal place gives:

$4425.69

What is an equation of the line that passes through the points (0, 5)(0,5) and (-5, 1)(−5,1)? Put your answer in fully reduced form.

Answers

Answer:

y=4x/5+5

Step-by-step explanation:

Points are (0,5)  and (-5,1)

(y-5)/(1-5)=x-0/[0-(-5)]

(y-5)/4=x/5

*5/5         *4/4

5(y-5)/20=4x/20

5y-25=4x

+25       +25

5y=4x+25

:5     :5

y=4/5*x+5

Two window washers, Grayson and Malik, lean a ladder against the side of a building so that Grayson can wash a window while Malik holds the ladder. The top of the ladder reaches the window, which is 8 meters off the ground. The base of the ladder is 3 meters away from the building. How long is the ladder?

Answers

Answer:

8.5m

Step-by-step explanation:

The ladder forms a right triangle with legs of 8 and 3, and the ladder is the hypotenuse. Using the Pythagorean Theorem, we get that the ladder is about 8.5 meters long. Hope this helps!

Answer:

≈8.544

Step-by-step explanation:

The Pythagorean theorem says that [tex]a^{2} + b^{2} = c^{2}[/tex], where c is the ladder. Replacing the variables for numbers gives you [tex]3^2 + 8^2 = c^2.[/tex] Simplifying the right side gives you 9+64, or 73. Because [tex]c^2\\[/tex]=73, the answer is [tex]\sqrt{73}[/tex], or ≈8.544. Hope this helps!

{2x+5y=33.
3x-5y=-13

Answers

Answer:

x = 4, y =5

Step-by-step explanation:

2x+5y=33.

3x-5y=-13

Add the two equations together to eliminate y

2x+5y=33.

3x-5y=-13

-------------------

5x = 20

Divide by 5

5x/5 = 20/5

x = 4

Now find y

2x + 5y = 33

2(4) +5y = 33

8+5y = 33

Subtract 8 from each side

8+5y-8 = 33-8

5y = 25

Divide each side by 5

5y/5 = 25/5

y = 5

write the equation -8x-1=3x^2+2

Answers

Answer:

x =(8-√28)/-6=4/-3+1/3√ 7 = -0.451

x =(8+√28)/-6=4/-3-1/3√ 7 = -2.215

Step-by-step explanation:

Rearrange

Step  1  :

Equation at the end of step  1  :

 (-8x - 1) -  (3x2 +  2)  = 0

Step  2  :  See below

Step  3  :  See below

Pulling out like terms :

3.1     Pull out like factors :

Trying to factor by splitting the middle term

Step  4  :

Parabola, Finding the Vertex

Solve Quadratic Equation by Completing The Square

Answer:

x =(8-√28)/-6=4/-3+1/3√ 7 = -0.451

x =(8+√28)/-6=4/-3-1/3√ 7 = -2.215

Hope this helps.

I don't understand this.

Answers

Answer:

98 degrees

Step-by-step explanation:

which expression is equivalent to 2(2a-5)-(a-3)

Answers

Answer:

The equivalent expression should be [tex]3a - 7[/tex] .

Step-by-step explanation:

Solve the expression:

[tex]2(2a-5) - (a -3)[/tex]

[tex]4a - 10 - (a -3)[/tex]

[tex]4a - 10 - a +3[/tex]

[tex]3a -10+3[/tex]

[tex]3a -7[/tex]

So, the answer is [tex]3a -7[/tex] .

Answer:

3a - 7

Step-by-step explanation:

An angle measures 86° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Let the angke be x

Its supplementary angle = 180 - x

Given:

x = 180 - x + 86

2x = 266

x = 133⁰

The one angle = 133⁰

The other angle = 180⁰ - 133⁰ = 47⁰

The measures of each angle are 86° and 94°.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Let ∠A and ∠B are the supplementary angles.

According to the question,

The Sum of the angle measure,

∠A + ∠B = 180°

∠A + 86° = 180°

∠A = 180° - 86°

∠A = 94°.

Therefore, 86° and 94° are the measure of each angle.

To learn more about the angle measure;

brainly.com/question/14684647

#SPJ2

Kwame rode a bicycle for a distance of x km and walked another half hour at a rate of 6kmper an hour. If Kwame covered a total distance of 10km ,find the distance x he covered by bicycle.​

Answers

Answer:

30-35 minutes

Step-by-step explanation:

The rectangular prism is to be sliced parallel to the shaded base. What number is missing from the dimensions of the fords section?

Answers

Answer:

C (6)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Can someone please help me!!! 100 POINTS!!! Answer ASP, please include an explanation!

Answers

Answer:

-39

Step-by-step explanation:

||u|| = sqrt(5² + (-12)²)

= sqrt(25 + 144)

= sqrt(169)

= 13

||cu|| = c ||u||

c = -3

c ||u|| = -3 × 13 = -39

Answer:

-39

Step-by-step explanation:

The magnitude of a vector is given by

|| u|| = sqrt( x^2 + y^2)

       = sqrt( 5^2 + (-12)^2)

       = sqrt(25+144)

      = sqrt(169)

     = 13

We are then multiplying by a scalar

||cu|| = -3*13 = -39

PLEASE HELP ASAP!!!

4y3 - 20 + 9y2 + (25 ÷ 5)

What is the value of the expression when y = 3?
A. 174
B. 48
C. 39
D. 214

Answers

[tex]\text{Plug in 3 to y and solve:}\\\\4(3)^3-20+9(3)^2+(25 \div5)\\\\4(27)-20+9(3)^2+(25 \div5)\\\\4(27)-20+9(9)+(25 \div5)\\\\4(27)-20+9(9)+5\\\\108-20+81+5\\\\88+86\\\\174\\\\\boxed{\text{A). 174}}[/tex]

Answer:

A) 174

Step-by-step explanation:

I'm assuming 4y3 is 4y³ and 9y2 is 9y²

4×3³-20+9×3²+(25÷5)=

4×3³-20+9×3²+5=

4×27-20+9×9+5=

108-20+81+5=

88+81+5=

169+5=

174

A) 174

A square is made using four rods of equal length joined end to end.
The perimeter of this square is 72 cm. Three of these rods are now joined end to end to make an equilateral triangle.
What is the perimeter of this equilateral triangle?
will mark brainliest for correct answer!

Answers

Answer: 54 cm

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Perimeter of a square = side length x4

Replacing with the values given:

72 = 4 s

Solving for s (side length)

72/4=s

s = 18 cm

Since the side length of the square is the length of each rod, and all the rods have the same length, to obtain the perimeter of the triangle we have to apply:

Perimeter of an equilateral triangle: 3 side length

P = 3 (18 ) = 54 cm

Feel free to ask for more if needed or if you did not understand something.

PLZZ NEED HELP ASAPPP :((

I wish I knew..

Use the stem-and-leaf plot. What is the place value of the leaves? ( if anyone gets it )



hundredths place


tens place


ones place


tenths place


16] 1 1 2 3 5 5

17] 0 2 2

18] 4 5 8 9

19] 3 6 7 9 9 9


Key : 19 , 3 means 19.3

Answers

Answer: I would say it hundredth place

Step-by-step explanation:

Answer:

hundredth place is your answer

please mark my answer as brainlist ✌️

and I am Indian I like to make friends

(Repost)
Which two expressions have the same value?

Answers

Answer:

c & d

Step-by-step explanation:

Summer school issues help meeded asap

Answers

Answer:

2.B

Step-by-step explanation:

2.

Henry's container holds milk=200*7/8=175 ml

Max has 5.50. He has eight more quarters than he does nickels. He had four times as many dimes as he has nickels. How many quarters, nickels, and dimes does max have?

Answers

Answer:

There are 13 quarters, 5 nickels and 20 dimes.

Step-by-step explanation:

Givens

Max has $5.50.He has eight more quarters than he does nickels.He had four times as many dimes as he has nickels.

From these statements, we can deduce algebraical expressions to solve the problem. Let's call [tex]q[/tex] quarters, [tex]n[/tex] nickels and [tex]d[/tex] dimes.

[tex]q=n+8[/tex] (8 more quarters than nickels)

[tex]d=4n[/tex] (he has four times as many dimes as he has nickels).

[tex]0.25q+0.05n+0.10d=5.50[/tex] (Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).

Let's replace the first two expressions into the third equation

[tex]0.25(n+8)+0.05n+0.10(4n)=5.50\\0.25n+2+0.05n+0.40n=5.50\\0.70n=5.50-2\\n=\frac{3.50}{0.70}\\ n=5[/tex]

There are 5 nickels.

Now, we use this value to find the number of quarters

[tex]q=5+8=13[/tex]

There are 13 quarters.

Also, [tex]d=4(5)=20[/tex]

There are 20 dimes.

Therefore, there are 13 quarters, 5 nickels and 20 dimes.

A spinner is numbered from 1 to 10 with equal sectors. What is the
probability of landing on a number between 3 and 7?

Answers

Answer:

3/10

Step-by-step explanation:

There are 10 sections

Number between 3 and 7 = 4,5,6 = 3 sections

P (number between 3 and 7) = sections between 3 and 7/ total

                                                 =3/10

Find each ratio x to y in decimal form. Then tell whether x and y are proportional. x y 3.25/2.5= 5.98/4.6= 6.76/5.2= 3.25 2.5 5.98 4.6 6.76 5.2

Answers

Answer:

Step-by-step explanation:

If x and y are proportional, it means that the ratio of x to y will always be constant value for each of the given ratios. Each ratio would be simplified by converting to decimals. Considering and converting each of the given ratios to decimal, it becomes

3.25/2.5 = 1.3

5.98/4.6 = 1.3

6.76/5.2 = 1.3

The constant value from the given ratios is always 1.3. Therefore, we can conclude that x and y are proportional.

Use the given graph to determine the limit, if it exists

Answers

Answer:

Limit does not exist at x=3.

Step-by-step explanation:

Using the given graph, we need to check whether the limit exists or not.

From the given graph it is clear that

1. When x approaches to 3 from the left side then function approaches to -1.

2. When x approaches to 3 from the right side then function approaches to -3.

3. When x=3, the value of function is 7.

So, we conclude that

[tex]LHL=\lim\limits_{x\to 3^-}f(x)=-1[/tex]

[tex]RHL=\lim\limits_{x\to 3^+}f(x)=-3[/tex]

[tex]\lim\limits_{x\to 3}f(x)=7[/tex]

Since [tex]LHL\neq RHL[/tex], therefore the limit does not exist at x=3.

Is the missing side length leg or the hypotenuse

Answers

Answer:

The Hypotenuse is going to be the longest side of a Right Triangle.

Step-by-step explanation:

Find the missing dimension of the cylinder. Round your answer to the nearest hundredth.

A cylinder with the radius of the base labeled z and the height of the cylinder labeled 15 meters. The volume is equal to 1696.5 cubic meters.

Answers

Answer:

The missing dimension, radius = 6.00 m

Step-by-step explanation:

We are given the following things:

Height of cylinder, [tex]h[/tex]  = 15 m

Radius of cylinder, [tex]r = z[/tex] m (Labelled as [tex]z[/tex])

Volume of cylinder, [tex]V = 1696.5\ m^{3}[/tex]

Please refer to the image attached for the dimensions of cylinder as given.

We know that the volume of a cylinder can be given as:

[tex]V = \pi r^{2} h[/tex]

Where [tex]r[/tex] is the radius of cylinder

[tex]h[/tex] is the height of cylinder

Putting the values of [tex]V, r \text{ and } h[/tex]:

[tex]1696.5 = \pi z^{2} \times 15\\\Rightarrow z^{2} = 36.01\\\Rightarrow z = 6.00\ m[/tex]

Hence, The missing dimension, radius = 6.00 m

Adam drove 280 miles in 4 hours. On average, how fast did he drive in hours per
mile

Answers

Answer:

He drove 70 mph.

Step-by-step explanation:

You would divide 280 by 4.

find the area of each sector. Use the 3.14 as the value of pi. Round your answer to the nearest tenth.​ Part 4

Answers

Answer:

1) 378.1 in²

2) 8.4 m²

Step-by-step explanation:

Area of sector= [tex] \frac{θ°}{360°} \times \pi {r}^{2} [/tex]

1) Area of sector

[tex] = \frac{150°}{360°} \times 3.14 \times {17}^{2} \\ = 378.1 \: in^{2} \\ (nearest \: tenth)[/tex]

2) Area of sector

[tex] \frac{60°}{360°} \times 3.14 \times {4}^{2} \\ = 8.4 \: m^{2} \\ (nearest \: tenth)[/tex]

Samantha has chickens and sheep on her farm. Each chicken has two legs and each sheep has four legs. Each chicken has one head and each sheep has one head. She looked out one day and counted 48 animal heads and 134 legs. How many of each animal live on the farm?

Answers

Answer:

There are 29 chickens and 19 sheep.

Step-by-step explanation:

Samantha has chickens and sheep on her farm.

Let the number of chickens be c.

Let the number of sheep be s.

Each chicken has one head and each sheep has one head.

She looked out one day and counted 48 animal heads. Each chicken has one head and each sheep has one head.

This means that the number of chickens and sheep add up to 48:

c + s = 48 ____________(1)

She also counted 134 legs. Each chicken has one head and each sheep has one head. This means that:

2c + 4s = 134 ________(2)

From (1),

c = 48 - s ____________ (3)

Put (3) in (2):

2(48 - s) + 4s = 134

96 - 2s + 4s = 134

Collecting like terms:

2s = 134 - 96

2s = 38

s = 38 / 2 = 19

Putting this back in (3):

c = 48 - 19

c = 29

There are 29 chickens and 19 sheep.

A rectangular field is 16m long and 10m wide
There is path of uniform width
around from outside it having area of 120 meters square. find the width of
path​

Answers

Answer:

path =2m

Step-by-step explanation:

Answer:

I believe the answer should be 2m

The graph shows a line and two similar triangles.

On a coordinate plane, a line goes through (0, 0) and (6, 4). A small triangle has a rise of 2 and run of 3. A larger triangle has a rise of 4 and run of 6.

What is the equation of the line?
y = three-halves x
y = two-thirds x
y = 3 x
y = 2 x

Answers

Answer:

B. 2/3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

y= 2/3 x

Question 5 (20 points) Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a 60 degree angle is shaded. What is the area of the sector that is not shaded? a 24π square units b 120π square units c 12π square units d 144π square units

Answers

Answer:

b) is correct 120π square units

Step-by-step explanation:

The sector that is not shaded froms a 300 degree angle. The area of that sector and its angle are proportional with the area of the entire circle and its angle, which is 360 degrees.

We start by computing the area of the circle. Since the radius is 12 units, then the area of the circle is 12² * π = 144π square units. Therefore, the area of the non shaded area is

144π * 300/360 = 120π square units

as option b) suggests.

Answer:

C. 120pi units^2

Step-by-step explanation:

Just took the Unit Test on Edg (2021)!!

In circle O, tangent MN and secant MPQ are drawn to the circle from exterior point M. If MP = 6 and PQ = 8 then which of the following is the length of MN ?
(1) 7
(2) 42
(3) 4 square root 3
(4) 2 square root 21

Answers

Answer:

42

Step-by-step explanation:

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