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

The equation A= 1750(1.04)t represents an account balance t years after the account was created. Which statement is correct?
A. The account balance will decrease 0.04% each year.
B. The account balance will increase 0.04% each year.
C. The account balance will decrease 4% each year.
D. The account balance will increase 4% each year.

Answers

Answer:

D. The account balance will increase 4% each year.

Step-by-step explanation:

Given the equation :

A= 1750(1.04)t

This is an exponential growth rate equation which has it's general format as :

A = A0 * (1 + r)^t

A0 = initial value,

Since (1 + r) is greater Than 1 ; then we conclude that it is a growth relation.

1 + r = 1.04

The rate, r = (1.04 - 1) = 0.04

r = 0.04 = (0.04 * 100%) = 4%

Hence, The account balance will increase 4% each year.

Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.

What is the theoretical probability that the family has two dogs or two cats?
Describe how to use two different coins to simulate which two pets the family has.
Flip both coins 50 times and record your data in a table like the one below.

Result Frequency
Heads, Heads
Heads, Tails
Tails, Heads
Tails, Tails
Total 50
Based on your data, what is the experimental probability that the family has two dogs or two cats?
If the family has three pets, what is the theoretical probability that they have three dogs or three cats?
How could you change the simulation to generate data for three pets?

Answers

The theoretical probability that the family has two dogs or two cats is 1/3.

(branliest will be appreciated)

9=7+a
a+8=b+5
what is b​

Answers

Answer:

b=5

Step-by-step explanation:

9=7+a

-7

2=a

a+8=b+5

10=b+5

-5

5=b or b=5

Which inequality is true?

Helpp due now

Answers

Answer:

b is true

Step-by-step explanation:

i hope this helps :)

plzzzzz help i really need it guys thxxxxxxxx!

Answers

Answer:

11. m=-1/4 b=5 equation is y=-1/4x+5

12.m=4/3 b=0 equation is y=4/3x

Step-by-step explanation:

Joel has a 41 in board leaning up against a wall the board hits the wall 40 inch above the ground how far from the wall is the base of the board.​

Answers

Answer:

9

Step-by-step explanation:

41^2 - 40^2 = 81

The square root of 81 is 9. I hope this helps.

The radius of a circle measures 11cm. what is the circumference of the circle?​

Answers

Answer:

C = 69.08

Step-by-step explanation:

C = 2πr

C = 22π or 69.08

Debby used a garden hose to fill up a 4-gallon bucket in just 1/6 of a minute. At what rate does water flow through the hose?​

Answers

Answer:

24 gallons

Step-by-step explanation:

whats the measure of angle E ?

Answers

Answer:

57degrees

Step-by-step explanation:

The triangle is an isosceles triangle, hence m<D = m<E (base angles are equal)

Taking the sum of the angles and equating to 180

5x-4 + 4x+1 + 4x+1 = 180

5x+4x+4x-4+1+1 = 180

13x - 2 = 180

13x = 180 + 2

13x = 182

x =182/13

x = 14

Get m<E

m<E = 4x+ 1

m<E = 4(14)+ 1

m<E = 56+1

m<E = 57degrees

Hence the measure of m<E is 57degrees

Please please I beg you

Answers

Answer:

2x+2

hope it helped:))))))))

Answer:

2x + 2

Step-by-step explanation:

f(x) + g(x)

= 9 - 3x + 5x - 7 ← collect like terms

= 2x + 2

HELP ME don't put a link i will report you <3
only answer the box that is yellow

Answers

Answer:

Step-by-step explanation:

Answer:

the answer is 9

because 8 8/9 is first

1 plus 8 8/9 is 9

Seth bought glow-in-the-dark stars to
put on his ceiling. There are 5 big stars
and 25 little stars. He wants to make
constellations that each have 1 big
star. If he uses the same amount of
stars for each constellation, how many
little stars will each have?

Answers

Answer:

Each constellation will have 5 little stars.

Step-by-step explanation:

First, let's organize the information we have:

5 big stars25 little starsEach constellation should have 1 big starEach constellation should have the same amount of stars

Now, let's solve the problem:

Each constellation should have 1 big star, and Seth has 5 big stars, so we can infer that there would be 5 constellations.Since each constellation have 1 big star, and the amount of stars in each constellation is the same, the amount of little stars in each constellation are the same.We have 25 little stars, and there are 5 constellations; 25 ÷ 5 = 5, so each constellation have 5 little stars.

it's been 2 hours and no one answered my question what the heck

Answers

Answer:

Ask it again and more people will have a chance to see it

Step-by-step explanation:

Find the volume of the cube in inches 3^ below. Then select the correct units
when entering your answer.

4 in.
4 in.
4 in.

Answers

The answer should be 64 in^3

hope this helps!

Question of
Two sides of a trangle have the following measures 7, 10 Find the range of possible measures for the third side.

Answers

Answer:

3 < x < 17

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

10 - 7 < x < 10 + 7

3 < x < 17

Q9 The number that happens the most: *

A Mean
B Median
C Mode
D Range

Answers

Answer:

C

Step-by-step explanation:

The mode is the value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

Which of the following would not be a line in solving the equation:
7x-8-5x = 52
12x = 60
12x = 44
12x - 8 = 52
x = 5

Answers

Answer:

Step-by-step explanation:

Let's actually solve the equation.  By doing so we should readily see which of the given equatins are not part of the solution.

7x - 8 - 5x = 52 becomes 2x - 8 = 52 if we consolidate the x terms.  Next, we consolidate the constant terms on the right, obtaining 2x = 60.

Then x = 30 is the solution.

12x = 60 would not be part of the solution.

12x = 44 would not either.

12x - 8 = 52 would not either.

x = 5 would not be part of the solution.

Again:  The solution is x = 30.

A triangular pyramid has a volume of 48 in3. The base edge is 9 in and the base height is 4 in. Find the height of the pyramid.

Answers

Answer:

8 in

Step-by-step explanation:

First of all we have to find the area of the base triangle.

For do this we can use this formula:

A = (base edge x base height)/2

A = (9 x 4)/2 = 18 in^2

The formula for find the volume of a pyramid is:

V= Base area x height)/3

So the height can be find in this way

3 x  V = base area x height

height = (3 x V)/base area

height = (3 x 48)/18 = 8 in

Answer:

pretty sure it is 8in I think

Need help ASAP please help

Answers

It is B because we wanna find what line goes over the dots better.

I need the Answers to this giving brainliest to the person who does not send me a unknown link and actually does the work

Answers

which question do you need to be answered? do you want all of them?

Answer: Look below!

Step-by-step explanation:You can use the Calc below in the pictures

1. √2/2

2. -√2/2

Proof it works!

HELP!!!!!! BRAINLIEST AWARD!!!!!!
help with math problem below:

Answers

Answer:

Antonio is the right one

Answer:

∠ A = 123°

Step-by-step explanation:

The central angle A is equal to the arc that subtends it , so

∠ A = arc DE = 5x - 2

The angles subtended by the radii and tangents of a circle are supplementary

2x + 7 + 5x - 2 = 180 ← Antonio is correct

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25

Then

∠ A = 5 - 2 = 5(25) - 2 = 125 - 2 = 123°

I'm not exactly sure what this question is asking? This is all information that is given. I don't really need an answer and I could just figure out the rest from there-

Answers

Answer:

i think it wants you to find how mnay cubits the pyramid is- but like how are you supposed to do that with the info given hdjbfsd sorry shawty i would ask a teacher on this one :(

Step-by-step explanation:

Are you an equation because you are driving me crazy...

Answers

Sheeeeeeeeeeeeeeeeesh, whats the snap???

Step-by-step explanation:

name the solid figure formed by the net

Answers

Answer:

A

Step-by-step explanation:

PLEASE HELP

Is th function shown a linear function?

EXPLAIN PLZZ

NO LINK​

Answers

It doesn’t curve or bend so yes this is a linear function.

Can someone please help me with math.

Answers

11 is c
14 is d
19 is c

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Indicate the equation of the given line in standard form.

The line that contains the point Q( 1, -2) and is parallel to the line whose equation is

y - 4 = 2/3 (x - 3)

Answers

Answer:

The equation of the line is;

3y = 2x-8

Step-by-step explanation:

Firstly, we need the to get the slope of the given line

To do this, we will write the equation of the line in the standard form

the standard form

is;

y = mx + b

where m is the slope and b is the y-intercept

y -4 = 2/3(x-3)

y -4 = 2x/3 - 2

y = 2x/3 -2 + 4

y = 2x/3 + 2

with respect to the given equation, the slope of the line is 2/3

Mathematically, when two lines are parallel, the slopes of the line are equal

So now, we want to find the equation of the line that has a slope of 2/3 and passes through the point (1,-2)

so;

y = 2x/3 + b

So substitute the values of (1,-2)

1 for x and -2 for y

-2 = 2/3(1) + b

-2 = 2/3 + b

b = -2 - 2/3

b = (-6-2)/3 = -8/3

So the equation of that line is;

y = 2/3x - 8/3

Multiply through by 3

3y = 2x - 8

16 out of 25 is equal to what percent?

Answers

Answer:

64

Percentage Calculator: 16 is what percent of 25? = 64.

Step-by-step explanation:

PLZ MARK BRAINLIEST I REALLY NEED THEM TO LEVEL UP

64. It’s roughly 1/3rd of this question.

jane leaves her bicycle at 8:00 AM, traveling at an average speed of 15mph. her brother frank leaves home in his car at 10:30 AM, traveling the same route as Jane at an average speed of 40 mph. at what time will they meet? i will give brainliest

Answers

Answer: 11:00

Step-by-step explanation:

Answer: 11:00

Step-by-step explanation:

Please help! I need answers for both questions it’s very confusing!

Answers

Answer:

for number 5 its:

-15 -8 8/9 -3.3

and for number 6 its:

-3.3 -8 8/9 and -15

also sorry if its wrong

When it seems the negative number get bigger, they’re actually getting smaller. For example -13 is greater than -20. Plus, the absolute value would always be positive.


The answer to number 1 would be:

-15 < -8 8/9 < -3.3


The answer to number 2 would be:


15 < -3.3 < -8 8/9



I hope this helped, and have an awesome day! <3
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