Three interior angles of a polygon are 125,140 and 160. The remain angles are 145 each. Calculate the sum of the interior angles of the polygon

Answers

Answer 1

Answer:

1440 degrees.

Step-by-step explanation:

125 + 140 + 160 = 425 degrees.

The remaining angles are each 145.

The exterior angles of all polygons sum to 360 .

So we have exterior angles sum of the 3 given angles

= (180-125) + ( 180-140) + (180-160)

= 55 + 40 + 20 = 115.

So the remaining vale of the sum is 360 - 115

= 245 degrees.

An internal angle of 145 will give an external one of 35 degrees.

245/35 = 7.

So there are 7 145 degree angles in the polygon.

Sum of the interior angles is therefore:

425 + 7*145

= 1440 degrees.

This is a 10 sides polygon ( a decagon).


Related Questions

There are 31 students in a class and 61.3% of these students passed their math applications test. What number of these students passed their test? Round your answer to the nearest whole number if necessary

Answers

Answer:

31 of 61.3%...

... is equivalent to multiplying them:

31 × 61.3% ≈ 19

(Rounded to a maximum of 2 decimals)

hopefully it’s correct

Determine if each conjecture is true or false. If false, provide a counterexample.

Answers

Answer:

1)TRUE 2) The difference of any two negative integers is a negative integer.

3)TRUE  4) TRUE 5)FALSE-REASON-Freshwater fish maintain the physiological mechanisms that permit them to concentrate salts within their bodies in a salt-deficient environment; marine fish, on the other hand, excrete excess salts in a hypertonic environment.

Step-by-step explanation:

hope this helps

a boat traveled 14 miles per hour downstream. the trip upstream was at a speed of 10 miles per hour. what is the speed of the boat in still water? what is the speed of the current

Answers

Answer:

(im not sure what the first question is asking me)

Speed of the current is 2 miles per hour

Step-by-step explanation:

The reason the current is 2 miles per hour is because it when going down stream they were going 14 miles per hour, going upstream they went 10. The difference is 4mph. So if the current pushes you 2mph when going down stream and holds you 2 mph when going up, the constant speed is 12mph then you add and subtract 2 becuase of the two directions youre traveling. hence 10mph and 14mph.

3
Simplify:1/4 (15 – 6) +3 : 12
A. 2
B. 3
C. 41
D. 5
7
12

Answers

Answer:  5.25 or 5.5 [see note]

Step-by-step explanation:

1/4 (15 – 6) +3  [I'm not clear what is meant by the " : 12," so I left it out.]

1/4 (9) +3

9/4 + 3

2.25 + 3 = 5.25

===

If it is supposed to read

1/4 (15 – 6) +3/12

Then it would be

5.25 + 0.25 = 5.5

11. There are a total of 30 puzzle pieces. Three
out of 5 are red, the remaining are black. How
many puzzle pieces are black?

Answers

Answer: 2

Step-by-step explanation:

5-3=2

30-5=15

If three out of the five are red and there are a total of 30 puzzle pieces then the number of black puzzle pieces will be 12.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

it is given that there are a total of 30 puzzle pieces three out of 5 are red, and the remaining are black.

From the given condition,

(3/5) of total puzzle pieces = Number of red puzzle pieces

(3/5) × 30 = Number of red puzzle pieces

Number of red puzzle pieces = 18

Total puzzle pieces = Red puzzle pieces + Black puzzle pieces

30 = 18 + Black puzzle pieces

Black puzzle pieces = 30-18

Black puzzle pieces =12

Thus, if three out of the five are red and there are a total of 30 puzzle pieces then the number of black puzzle pieces will be 12.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ5

the length of a rectangular is 2 m less than twice the width.if the erea of the rectangular is 112m², what is the width​

Answers

-7 or 8 is the answer

Which step should be performed first when simplifying 18−3+11×2+5?


-3+11

2+5

18-3

11x2

Answers

Answer:

11 x 2

Step-by-step explanation:

By BODMAS rule,

B - Brackets

O - Orders

D - Division

M - Multiplication

A - Addition

S - Substraction

Consider DMAS alone.

Here, there is no division.

So,

Multiplication ( x ) should be the first step.

(2x+3y)²+(2x-3y)²

a) 4(2x)(3y)
b) 4(2x)(4y)
c) 6(3x)(5y)
d) 2((2x)²+(3y)²)
e) 2((x)²+(y)²)

Answers

Answer:

d) [tex]2 ({(2x)}^{2} + {(3y)}^{2} ) \\ [/tex]

Step-by-step explanation:

[tex] {(2x + 3y)}^{2} + {(2x - 3y)}^{2} \\ (2x + 3y)(2x + 3y) + (2x - 3y)(2x - 3y) \\ 2x(2x + 3y) + 3y(2x + 3y) + 2x(2x - 3y) - 3y(2x - 3y) \\ {4x}^{2} + 6xy + 6xy + {9y}^{2} + {4x}^{2} - 6xy - 6xy + {9y}^{2} \\ {4x}^{2} + 12xy + {9y}^{2} + {4x}^{2} - 12xy + {9y}^{2} \\ {4x}^{2} + {9y}^{2} + {4x}^{2} + {9y}^{2} \\ {8x}^{2} + {18y}^{2} \\ 2( {4x}^{2} + {9y}^{2} ) \\ 2( {2}^{2} {x}^{2} + {3}^{2} {y}^{2} ) \\ 2({(2x)}^{2} + {(3y)}^{2}) \\[/tex]

Step-by-step explanation:

d num i think 2((2x)^2+(3y)^2)

This is the Length of Arc....pls. try to answer.​

Answers

Answer:

75 cmmmmmmmmmmmmmmmmmm

Find the following product.
(4a +6) (3a? - 3a+6)
(4a + 6) (3a2- 3a +6) =

Answers

Answer:

12a^3+6a^2+6a+36

Step-by-step explanation:

Sana makatulong!

In a circle of radius 1, what is the length of an arc cut off by a central angle of 2 radians?

Answers

Answer:

What is the length of an arc cut off?

If θ (in radians) is a central angle in a circle with radius r, then the length of the arc cut off by θ is given by s = r θ (θ is in radians).

Step-by-step explanation:

Length of an Arc = θ × r, where θ is in radian.

Length of an Arc = θ × (π/180) × r, where θ is in degree.

The speed s (in miles per hour) of a car driving on dry asphalt can be given by s = 4.747 d, where d is the stopping distance
(in feet). What is the approximate stopping distance of a car traveling 30 miles per hour? Round your answer to the nearest
hundredth

Answers

Answer:

30mph

Step-by-step explanation:

i forgot how to show the problem....

PLEASE HELP IM STUCK ON THIS ONE ​

Answers

Answer:

1. 1/200

2. 15/2

3. 11/36

4. 8/5

Step-by-step explanation:

Given the function f(x) = 6x-x^2,then what is f(x) + 2 as a simplified polynomial

Answers

His cfstdhgxggxgggcxfvvcfgfdffggff

Use the graph to estimate the value of y when x = 2.5

Answers

Answer:

y=7

y will equal to 7 when x is 2.5

KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK

Answers

Answer:

Answer is b . Hope you like answer

PLEASE HELP ME!!!!!!

Answers

its just -1/2 tho or -0.5

i really don't understand this! i need help asap! please explain how to do it and how you got your answer!

Answers

It’s 82 because the angles are alternate exterior angles

Mason is driving on a long road trip. He currently has 12 gallons of gas in his car. Each hour that he drives, his car uses up 1.5 gallons of gas. How much gas would be in the tank after driving for 2 hours? How much gas would be left after tt hours?

Answers

Answer: 9

12-1.5t

Step-by-step explanation:

1.5*2=3

12-3=9

1.5*t=1.5t

If he used 3 gallons of gas. Then the amount of the gas in the tank after driving for 2 hours will be 9 gallons.

What is Algebra?

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Mason is driving on a long road trip. He currently has 12 gallons of gas in his car. Each hour that he drives, his car uses up 1.5 gallons of gas.

Then the amount of the gas in the tank after driving for 2 hours will be

The amount of gas used in 2 hours will be

Used gas = 2 x 1.5

Used gas = 3 gallons of gas

Then the remaining amount will be

Remaining amount of gas = 12 - 3

Remaining amount of gas = 9 gallons

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

what is 4-1/4 help please​

Answers

Answer:

3 3/4

Step-by-step explanation:

Because 1 = 4/4

then 4 = 12/4

then you take away 1/4

And get 11/4

Then you Turn that into a mixed number

And get 3 3/4

Decimal form is 3.75

Answer:

15/4 alternate answers - 3 3/4 or 3.75

that's what I got

I need help with this

Answers

Answer:-40 - 180=-220

Step-by-step explanation:

water is 0 so when subtracting it will be negative.

the answer is -220 because of how deep the submarine is.

you will keep subtracting the farther down you go.

15 friends sold the same number of tickets each. They sold x tickets altogether. How many tickets did each of them sell?

Answers

Answer:

hhgfghgffgtfhhjjjjhhfsadsdffbnjghdrr

Answer:

Hey man im not very smart

Step-by-step explanation:

Is the list of numbers a arithmetic sequence?
26,31,36,41,46,…

Answers

Answer:

g

have a great day ahead

please mark me as the brainliest

Answer:

[tex]31 - 26 = 36 - 31 = 41 - 36 \\ = 46 - 41 = 5 = d \\ yes \: it \: is \: an \: arithmetic \: sequence[/tex]

pls help me pls pls pls

Answers

Answer: I helped you. Troll!

Select the following item that does not describe a text-based program.

A program that runs through a graphical user interface
A program that runs via a prompt
A program that runs through a command line interface
A program that runs through a shell

Answers

Answer:

A program that runs through a shell

Step-by-step explanation:

NEED HELP QUICK!! Skylar collects coins and stamps. She wants to organize her collections to display them together. She has 56 coins and 72 stamps,
and she wants the same number of each item in each display.

What is the greatest number of displays Skylar can make?

Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

Add 72 and 56 and divide it by the biggest number until the answer is whole

Answer: 8

Step-by-step explanation:

Solve this problem with GCF (Greatest Common Factor).

Factors of 56: 1, 2, 4, 7, 8, 14, 28 and 56.

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

So, the biggest among the numbers that are matching is 8.

Please help me! Will give brainliest!​

Answers

Answer:

6

Step-by-step explanation:

you have to split it up mostly

Demetria went to her local zoo that featured 4 bear exhibits. If the zoo features 16 exhibits in total, then what percent of the zoos exhibits features bears? Round your answer to the nearest tenth if necessary.

Answers

Answer is 25 %.

Step-by-step explanation:-

Given-

Number of exhibits = 4

Total number of exhibits = 16

Solution-

% of zoos exhibits that features bears :-

[tex] \frac{4}{16} \times 100[/tex]

[tex] => 25[/tex]

Therefore, The percentage of zoos exhibits that features bears= 25 %

✍️ By Benjemin ☺️

QUICK QUESTION: did I do this right?

Answers

It it fully correct
Hope you have a good day!
Can ai get brainliest?

A speedboat travels 18 miles in 12 minutes.At this rate, how far will the boat go in 1hour? (12 minutes = hour)

Answers

Answer:

find the speed for one minute which would 18 divide by 12 which is 1.50 after multipy by 60 because 60 minutes equals 1 hour

Step-by-step explanation:

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