An n-sided polygon has one interior angle of 90°. The other interior angles are all equal.
If the size of one of the equal angles is 150°, calculate the value of n.

Answers

Answer 1
n = 10

For a regular polygon:
Each exterior angle = 360 / n
Each interior angle = 180 - 360/n
So sum of interior angles = n(180 - 360/n) = 180n - 360

For your polygon the sum of the interior angles = 90 + 150(n - 1) = 90 + 150n - 150 = 150n - 60

So 180n - 360 = 150n - 60
180n - 150n = -60 + 360
30n = 300
n = 10

Related Questions

Hurry please need fast

Answers

Answer:

SAS

Step-by-step explanation:

One of the postulates is called SAS and it states that if two triangles have 2 sides with the same length and the angles between the two sides are the same then the two triangles are congruent. This is exactly what we see on the diagram shown in the question, therefore the correct postulate is SAS

PLEASE HELP ASAP ILL GIVE BRAINLIEST

Answers

Answer:

B the second answer is correct!!!!

Step-by-step explanation:

Hope This Helped

Let me know if its wrong or not but i 99.99% believe it's correct

ANSWER: B

EXPLANATION:
If a predator moves to the area and is feeding off the red fish because they are seen by their color, the prey will need to adapt to the new situation. Therefore, they must change to the whiter colors so they are less seen for the red. This is a form of prey adaptation.

BRANLIEST PLZZZ Let us say you live in the United Sates and will be vacationing in Canada for 2 months. Discuss all the unit conversions you will need in order to make your stay safe and successful. (List all the units that are different in Canada – and what conversions you would need so that you can make sense of them.)

Answers

Answer:

take care everyone be safe

stay home , stay safe

take vaccination

Someone please help me thank you


5x5

Answers

Answer:

25

Step-by-step explanation:

A line passes through the points (3, –1) and (5, 4). What is the slope of the line?

Answers

Answer:

D) 5/2

Step-by-step explanation:

(3, –1) and (5, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4 + 1)/(5 - 3)

m= 5/2

Answer:

5/2

Step-by-step explanation:

To find the slope, we can use the slope formula

m= (y2-y1)/(x2-x1)

   = (4 - -1)/(5 - 3)

   = (4+1)/(5-3)

   = 5/2

Help ASAP. With lots of points will give brainiest!

I only need help explaining and showing the steps

STRUCTURE Tell whether the triangles are similar.

Answers

Answer:

yes it's similar triangle because it has same shape but size is not equal


A rectangular prism has a length of 5 cm, a width of 2. 25 cm, and a height of 0.5 cm.
What is the surface area of the rectangular prism?
A. 5.625 cm2
B. 7.25 cm2
O C. 14.875 cm
D. 29.75 cm?

Answers

D. 29.75 is Right answer...

I hope you understand....

49 divided by what gives you 7

Answers

Answer:

49 ÷ 7 = 7

Step-by-step explanation:

49 ÷ y = 7

7 = 49 ÷ y

7 · y = 49 ÷ y · y

7y = 49

7y ÷ 7 = 49 ÷ 7

y = 7

Can someone help me the four options would be 34 degrees btw

Answers

Answer:

Angle NKQ is 68 Degrees.

Step-by-step explanation:

With this, consider the arc that Angle NPQ is making. It is making an arc of 112 degrees since the Angle is coming out from the radius of the circle.

Now, there is also the arc 248 degrees for the remainder of the circle that is not within this angle's reach.

Since Angle NKQ shares these arcs, we can use the equation:

Big Arc + Small Arc / 2

to get the measure of this angle

(248 - 112) / 2

With this, Angle NKQ is 68 degrees.

description of turning effects​

Answers

Answer:

The turning effect of a force is known as the moment. It is the product of the force multiplied by the perpendicular distance from the line of action of the force to the pivot or point where the object will turn.

please help!! 40 points . if you guess or just comment to take points i will make sure your account gets banned, thanks! i want a small simple explanation.

Answers

Answer:

1) m<DBE= 140

2)m<EBD= 30

Step-by-step explanation:

1) 5x-60= x+20

4x= 80

x= 20

plug in the x into the equation: (x+20)---> (20+20)=40

180-40= 140

2) 4x-2+20x-10= 180

24x= 192

x=8

plug in the x into the equation: (4x-2)----> 4(8)-2----> 32-2= 30

3) im not sure

4) im not sure

Answer: did you see my answer on the second page?

Step-by-step explanation: IM SORRY PLEASE DONT BAN ME

I need help like big time! PLEASE I NEED THIS ANSWERED!!

Answers

Answer:

x = 94

Step-by-step explanation:

[tex]x + (\frac{1}{2}x + 39) = 180[/tex]

1.5x + 39 = 180

Subtract 39 from each side.

1.5x + 39 - 39 = 180 - 39

Simplify.

1.5x = 141

Divide each side by 1.5.

1.5x ÷ 1.5 = 141 ÷ 1.5

x = 94

I need to find this angle please help i know it is adjacent but i need the angle.

Answers

Answer:

148 degrees!

Step-by-step explanation:

They are 180 degrees together so just subtract 32. 180- 32 = 148.

Answer:

148°

Step-by-step explanation:

A flat angle measures 180°

180° - 32° = 148°

find the circumference of a circle with a radius of 2.5 cm

Answers

C=2*pi*r
2*3.141592654*2.5
Answer: 15.7 cm

Simple math! Please help!!!!

Answers

[tex] c.\:{x}^{ - 4} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{7 {x}^{4} }{7 {x}^{8} } \\ = \frac{ {x}^{4} }{ {x}^{8} } \\ = {x}^{4 - 8} \\ = {x}^{ - 4} [/tex]

Note:-

[tex] {x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Ninas car exponentially depreciate at a rate of 8% per year. If Nina bought the car when it was 6 years old for 12,045 , what was the original price

Answers

Answer:  $19,864.60

Step-by-step explanation:

The future value formula could have been used to find the price in the 6th year. As we now know the price, the formula can now be used to find the original price.

Price at 6th year = Original price * ( 1 + rate) ^ number of years

12,045 = Og * ( 1 - 8%) ⁶

12,045 = Og * 0.606355001344

Og = 12,045 / 0.606355001344

Og = $19,864.60

Rate is subtracted because price was reducing.

What is the sum of the interior angles in this shape?

Answers

Answer:

720° :)

Step-by-step explanation:

You can find the total interior angle for any shape using the following (n being the number of sides):

S = ( n - 2 ) × 180 °

S = (6-2) * 180

S = 720

I believe 720 because every triangle is 180 so your can be made up of 4 triangles, so multiply 180 times 4

HELP!! An apartment building is infested with 6.2 x 10^3 rats. on average each of these rats produces 5.5 x 10^1 offspring each year. assuming no rats leave or die, how many additional rats will live in this building one year from now? write your answer in standard form.

Answers

The additional rats will live in this building one year from now is 3.41 x 10^5.

What is the additional number of rats?

Standard form is used in expressing large numbers in smaller numbers. In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

(6.2 x 10^3) x ( 5.5 x 10^1) = 34.10 x 10^4

= 3.41 x 10^5

To learn more about standard form, please check: https://brainly.com/question/25334755

#SPJ1

Which equation best describes the situation below?
5 less than a number is 15.

Answers

Let the number is X

So the equation will be X-5 = 15

Application:
Sharone took 2-hours to complete her science
project. She took 140 minutes to complete her math
homework. Which assignment did she spend more
time completing? How many more minutes did she
take?​

Answers

2 hours = 120 minutes
120 minutes =science
140 minutes = math

She spent more time on math homework

140-120=20

She took 20 more minutes on her math homework than her science homework.

Look at the graph below.



Which point can you add to the graph to make this graph NOT A
FUNCTION?
(2,6)
(5.3)
(7.5)
(8,8)

Answers

Answer:

B. (5, 3)

Step-by-step explanation:

Given points:

(3, 5), (5, 8), (9, 7)

The graph should have a same x-value with a different y-value.

From the list we have only point (5, 3) which makes this a non-functional relationship.

Correct choice is B

Points here are

(3,5)(5,8)(9,7)

As per definition of function

Every domain has a unique range

Check option B

If we put than

The. f(5) would have 2 values 8 and 3

Which won't be a function

The most Brendan can afford to pay per year in mortgage payments is $10,500, and his credit score is currently 544. According to the following table for a $150,000 mortgage, by how many points would he need to improve his credit score in order to take a mortgage for $150,000? FICO Interest Monthly Score Rate Payment 720-850 700-719 675-699 620-674 560-619 500-559 5.59% 5.71% 6.25% 7.40% 8.53% 9.29% $860 $872 $924 $1039 $1157 $1238 O A. 16 points B. 156 points C. 76 points D. 131 points​

Answers

Answer:

B. 156

Step-by-step explanation:

Brendan would need to improve his credit score by 75 points to qualify for a $150,000 mortgage with a monthly payment of $875 or less.

We have,

To determine Brendan's interest rate and monthly payment for a $150,000 mortgage, we need to find which range his FICO score falls in.

From the table, we see that his score of 544 falls in the range of 500-559, which corresponds to an interest rate of 9.29% and a monthly payment of $1238.

Next, we can use the mortgage payment of $10,500 per year to determine the maximum monthly payment Brendan can afford.

i.e

$10,500 per year / 12 months

= $875 per month

Since this amount is less than the monthly payment for the 500-559 FICO score range, Brendan would need to improve his credit score to qualify for a $150,000 mortgage.

To determine how many points he needs to improve, we can look at the next lowest interest rate and payment in the table, which corresponds to a FICO score range of 560-619.

The monthly payment for this range is $1157, which is below Brendan's maximum payment of $875.

So, he needs to improve his credit score to fall into this range.

To determine how many points he needs to improve,

we can subtract the minimum FICO score in the 560-619 range (560) from his current FICO score (544), and then add that difference to the maximum FICO score in the 560-619 range (619).

i.e

(619 - 560) + (560 - 544)

= 59 + 16

= 75

Therefore,

Brendan would need to improve his credit score by 75 points to qualify for a $150,000 mortgage with a monthly payment of $875 or less.

Learn more about credit scores here:

https://brainly.com/question/25668115

#SPJ7

Use the picture to find each of the following: HELPPP

Answers

1: 142°
2: 38°
3: 38°
4: 142°
6: 142°
7: 38°
8: 142°

Ravi solved this question. His teacher told him he made a mistake. Can you helphim to get the correct step ? 56–(–73) = 56 + __________

Answers

Answer:

56+73

Step-by-step explanation:

I am in need for help please

Answers

Answer:

x = 12

Step-by-step explanation:

Exterior angles thm:

8x - 10 + 5x - 12 = 134

13x - 22 = 134

13x = 134 + 22

13x = 156

x = 12

Please help!!!! Giving brainliest and extra points!!!! (Click on the photo)

Answers

Answer:

i dont understand the question much cuz its only told berries so i think is both rasberry and strawberry

Step-by-step explanation:

if so here my solve: Both berries are 38% of the graph, we have equation 38%×290 = 110,2

hmmmm maybe the ans is D. 110

A number is multiplied by 4. That result is added to 12. The final number is 40. What is the original number.

Answers

Answer:

3

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

(40-12)/4

  28/4

     7

which expression is equivalent to 5+5t+3t+?

Answers

Answer:

10t+3

Step-by-step explanation:

Answer:

10t+3

Step-by-step explanation:

.Answer only the second question and show steps​

Answers

Answer:

Step-by-step explanation:

Perimeter is found by adding all the sides of a figure together. We have 2 lengths that are 10.5 long, and 2 widths that are 8.75 wide. Adding these together:

10.5 + 10.5 + 8.75 + 8.75 = 38.5 cm

this answer for # 2 question

14. Jerry charges a fee of $45 plus $15 per hour to rent a motorbike. Write an equation to
calculate rental cost and tell what x and y mean. If you have $120 to spend, how long can you rent
for?

Answers

Answer:

5 hours, y= how much money it will cost, and x represents how many hours

Step-by-step explanation:

y= 15x+45

120= 15x+45

-45 -45

75= 15x

75/15×= 5 hours

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