Mathematics High School

a polygon has n sides. Two of its sides are right angle while the remaining each side is 144.find n​

Answers

Answer 1
Use the formula that states that the sum of the angles of an n-sided polygon is given by
S=(n−2)180
0
........(1)

Since we are given that the two angles are right angles and each of the remaining angles is 144
0
, therefore, the sum is:

S=90
0
+90
0
+(n−2)144
0
.........(2)

Therefore setting (2) equal to (1) we get

(n−2)180
0
=90
0
+90
0
+(n−2)144
0

⇒(n−2)180
0
−(n−2)144
0
=180
0

⇒(n−2)(180
0
−144
0
)=180
0

⇒(n−2)(36
0
)=180
0

⇒n−2=
36
180
​

⇒n−2=5
⇒n=5+2=7

Hence, the polygon has 7 sides.

Related Questions

Determine the value of the expression

Answers

This is the answer..........

In the center of a growing city is an old church and a high-rise office building separated by a plaza. Two surveyors are collaborating on the job of determining how high the tip of the church spire is above the plaza. Each surveyor has a theodolite mounted on a tripod. One surveyor is in the entrance way of the high-rise. The top of his tripod is 165cm above plaza level. The second surveyor is directly above the first, and (amazingly) the top of her tripod is exactly 100m above the top of her colleague's tripod. The first surveyor measures the angle of elevation of the tip of the spire as 50∘. The second surveyor measures the angle of depression of the tip of the spire as 30∘. (The diagram on the right is not drawn to scale. Points A and F are at plaza level. You'll have to supply all the necessary measurements on the diagram for yourself.)

Correct to 2 decimal places, how high is the tip of the spire above the plaza?
m

Answers

Answer:

69.01

Step-by-step explanation:

Here I do emf too and i found the answer on another brainly post so check that out for the explanation

PLEASE ASAP! GIVING BRAINLIEST!

For the graphed exponential equation, calculate the average rate of change from x = 0 to x = 3.

a) 3/2
b) 7/3
c) 3
d) 4

Answers

The answer is B (pictures below)

Answer fast!!!!!!!!!

Answers

Answer:

$0.52 = 0.52

Step-by-step explanation:

I think so.....

NEED HELP ASAP!!
Use Pythagorean Theorer to solve. Round to the nearest tenth
1.5 in
0.9 in
х

Answers

Answer: 1.2 in

Step-by-step explanation:

The pythagorean theorem states that a²+b²=c².  Thus, 0.9²+b²=1.5².

1.5²=2.25

0.9^2=0.81

0.81 + b² = 2.25

1.44 = b²

b = 1.2

Hope it helps <3 :)

PLEASE HELPPP!!!! urgent

Answers

This is pretty easy to answer. If you want a way to do this fast; just remember that Quadrant III (bottom left) is all negatives. (-x, -y)

So just find the answer where the x and y are negatives, which is C.


I also check the run and rise/fall and they were accurate. The answer is C.

Answer:

The answer is C

Step-by-step explanation:

The rule for reflection across the x-axis is (x,y) to (x,-y)

The figure lies at A(-5,5) B(-1,5) C(-1,2) D(-5,1)

A' (-5,-5) B'(-1,-5) C'(-1,-2) D'(-5,-1)

The answer is C

Write the equation of the line passing through the point (3,5) that is
PEREPENDICULAR to y = -3/4x + 5 in slope-intercept form.

Answers

Answer:

y=4/3x+1

Step-by-step explanation:

So basically you have to do the same thing you would do without the perpendicular part. Then just filp the 3/4x to 4/3 and solve for b.

Hope this helps :)

HELPPPP PLEASE!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Median: 5.5 Mean: 8.5

Step-by-step explanation:

3+8+3+20=34

34/4= 8.5

3, 3, 8, 20 ((3+8)/2)

Answer:

Median: 5.5

Mean: 8.5

Step-by-step explanation:

Median:

3 3 8 20

3 and 8 are the two middle numbers since there can't be one.

3+8=11/2=5.5

Mean:

Add all the numbers together, and then divide by the amount of numbers there are.

3+3+8+20=34/4=8.5

Hope this helps! :) Plz mark as brainliest!!


re arrange each formula to make “x” the subject

y = x +5

Answers

Answer:

x= y-5

Step-by-step explanation:

Anthony is a high school basketball player. How many points would Anthony score in a game if he made 8 three point shots and 2 two point shots? How many points would Anthony score in a game if he made xx three point shots and yy two point shots?

Answers

Answer:

try 6

Step-by-step explanation:

because it says 8 three point shots and 2 two point shots so its 3 times 2 ig

Answer:

Anthony would score 28 points.

If he made x 3 point shots and y 2 point shots = x*3 + y*2

Step-by-step explanation:

With Anthony making 8, 3 point shots you take 8 and multiply it by 3. This gives you 24. The 2, 2 point shots he made gives you 2 multiplied by 2 which gives you 4.

So taking x*3 + y*2, plug 8 into the x and 2 into the y. This gives you 8*3 + 2*2 = 24

Marisol bought a rug that is 8 feet long and 5 feet wide what is the area of the rug

Answers

Answer:

a= 40

area=length*width

area=8*5

area=40

hope this helped!

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

8x5=40

Length:8

time

Whidth: 5

=40

Please help me fill out the rest I got stuck on the one with 11

Answers

I thnk it is 22 but im not to sure

plzzz help ! if you could do a step by step ill mark brainliest

Answers

Answer:

m∠ABU = 70°

Step-by-step explanation:

By applying angle addition postulate,

m∠ABC = m∠UBC + m∠ABU

145° = 75° + m∠ABU

m∠ABU = 145° - 75°

m∠ABU = 70°

Therefore, measure of angle ABU is 70°.

60 is ​0.4% of what​ number? Use pencil and paper. Would you expect the answer to be a lot less than 60 ​, slightly less than 60 ​, slightly greater than 60 ​, or a lot greater than 60 ​? Explain.

Answers

Answer:

15000

Step-by-step explanation:

0.4%=0.004

0.004x=60

x=60/0.004

x=15000

The number 60 is 0.4 percentage of the number 15,000

Given data ,

To find the number that 60 is 0.4% of, we can set up the equation:

60 = 0.4 percentage of x

To solve for x, we need to convert 0.4% to its decimal form, which is 0.004:

0.004 * x = 60

Now we can solve for x by dividing both sides of the equation by 0.004:

x = 60 / 0.004

Dividing 60 by 0.004 gives us:

On simplifying the equation , we get

x = 15,000

Therefore, 60 is 0.4% of 15,000.

Since 0.4% is a very small percentage (less than 1%), we would expect the answer to be a lot greater than 60. This is because when a small percentage is applied to a number, the result will be significantly larger than the original number. In this case, the number that 60 is 0.4% of is 15,000, which is a lot greater than 60.

To learn more about percentage click :

https://brainly.com/question/12861068

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suppose that 23 inches of wire cost 69 cents at the same rate, how much in cents will 45 inches of wire cost

Answers

Answer:

pppop

Step-by-step explanation:

the answer is $1.34 I don’t know how to explain it

Q. A bag contains 5 quarters, 2 dimes, and 4
pennies. What is the probability of picking
quarter?

Answers

Answer:

5/11

Step-by-step explanation: hope it helps!

Aiko is selling books for $12 each. She wants to make more than $180 in book sales. The inequality 12b > 180 can be used to determine the number of books, b, she must sell in order to meet her goal. Which number line best represents the solution to the inequality?For which equation is x=5 a solution?

Answers

Aiko is selling books for $12 each. She wants to make more than $180 in book sales. The inequality 12b > 180 can be used to determine the number of books, b, she must sell in order to meet her goal. Which number line best represents the solution to the inequality?


b > 15

The third number line shows the inequality.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Aiko is selling books for $12 each. She wants to make more than $180 in book sales.

and, the inequality 12b > 180 can be used to determine the number of books, b.

Now, solving the inequality

12b > 180

b > 180/12

b > 15

Hence, the third number line shows the inequality.

Learn more about inequality here:

https://brainly.com/question/28823603

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For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
[tex]y=3x^2+2x-8[/tex]

Answers

Table A
Y = ax^2 + bx + c so a = 3, b = 2 and c = -8
Crosses y axis at (0, -8) as C is -8
A is positive so open (bucket shaped)

Answer:

give other guy brainliest he is correct

Step-by-step explanation:

A jacket with an original price of $49.30 is discounted 30%. What is the sale price?

Answers

Answer:

$34.51

Step-by-step explanation:

Answer:

14.79

Step-by-step explanation:

49.30 times by 30%=$14.79

Which type of function is represented by the equation 6y=2(x−5)

Answers

The type of the function that is represented by 6y = 2(x - 5) is a linear function

What are linear functions?

Linear functions are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

How to determine the type of the function?

The equation of the function is given as

6y = 2(x - 5)

Divide both sides of the equation by 6

So, we have

y = 1/3(x - 5)

Open the bracket

y = 1/3x - 5/3

The form of the above equation is

y = mx + c

The equation represented by y = mx + c is a linear function

Hence, the type of the function that is represented by 6y = 2(x - 5) is a linear function

Read more about linear function at

https://brainly.com/question/15602982

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A clothing company is printing its fall catalog. Each copy of the catalog will be 347 pages long. If the printer has printed 7,287 pages, how many catalogs are complete?

A.17
B. 14
C. 21
D. 35​

Answers

Answer:

21

Step-by-step explanation:

3 3x-8


combine like terms.

Answers

The answer is 3x-21 i think

help pls!!
A box contains 5 orange pencils, 7 green pencils, and 4 blue pencils what is the probability of randomly selecting a blue pencil from the box??

Answers

Answer:

1/4

Step-by-step explanation:

5 + 7 + 4 = 16

4/16 = 1/4

pls give me brainliest :)


xy^2/xy + x^2y^2
ANSWER ASAP WILL GIVE BRAINLY

Answers

Answer:

x (y^2xy + xy^2)

Step-by-step explanation:


Can y’all help with this :)))))

Answers

There’s a pattern to this and I’ll explain in the comments if you want to know or can’t figure it out :)


1.) 27/x^3

2.) a^8/b^12

3.) 7^36/81 OR 13,841,287,201/81

4.) 256m^20/n^4

5.) x^6y^6

6.) 64k^4/k^6

7.) 1,000a^9b^6/a^6b^9

8.) 81x^21/625

9.) 2304/x^16y^12

10.) x^7z^14/y^21

11.) 7,776k^5

12.) x^24y^24/4,096


Hope it’s all helped

There is a trapezoid behind the net in hockey. Use the graphic to find the area of the trapezoid.

Answers

Answer:

253 square feet

Step-by-step explanation:

1/2 × 11 ft × (28 ft + 18 ft) = 253 square feet.

Please help me mark u brainliest anything please i beg u : and i am lady
in the interval 0 x 360 find the values of x for which tan x =-0.6745

Answers

Answer:

180

Step-by-step explanation:

geometry please help

Answers

Answer: Im pretty sure the answers F.

Step-by-step explanation: Let me know if its correct!

What is the answer?
Is it A B C or D

Answers

Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

square the 3 and times 4 and 2

Evaluate the following expression: 3/7 x 8/9

Answers

24/63 and 8/21 for the simplified answer

Answer:

2(3)+

Step-by-step explanation:

just multiply the divider by the numerator

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