All categories

3 years ago

The interior angle of a polygon is 100 . The other interior angle are all equal to 110. how many sides has the polygon?

Mathematics

1 answer:

pishuonlain [190]3 years ago

3 0

There is a formula for the total interior angles of a polygon:

180(sides−2)=total interior angles

One of the angles is 100 and all the others are 110.

We can rewrite the equation.

Assume there is x number of sides.

There are x−1 number of angles, 110 degrees

180(x−2)=100+110(x−1)

180x−360=100+110x−110

70x−360=100−110

70x−360=−10

70x=3507x=35

x=5

There are 5 sides to the polygon.

We can check our answer:

180(sides−2)=total interior angles

Therefore it is true:

The polygon has 5 sides

I HOPE IT HELPS 

HAVE A GREAT DAY 

#Liliflim

You might be interested in

2. Sue earns the same amount of

storchak [24]

Answer:

1/hour =9$

For 12 hours she makes 108$

5 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.

elixir [45]

Answer:

20 degrees

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A group of 6 students was playing a game. Each student had a score of -90 at the end of the first round. What was the total of t

Butoxors [25]

Answer:

it means poop

Step-by-step explanation:

8 0

3 years ago

A company estimates that it will sell ????(x) units of a product after spending x thousand dollars on advertising, as given by ?

zepelin [54]

Answer:

$(11\frac{1}{3},20)$

Step-by-step explanation:

If the Number of Sales of x units, N(x) is defined by the function:

$N(x)=-5x^3+235x^2-3400x+20000,10\leq x\leq 40$

$N'(x)=-15x^2+470x-3400\\When -15x^2+470x-3400=0\\x=20, x=11\frac{1}{3}$

Next, we text the critical points and the end points of the interval to see where the derivative is increasing.

$N'(10)=-200\\N'(11\frac{1}{3})=0\\N'(19)=115\\N'(20)=0\\N'(40)=-8600$

Thus, the rate of change of sales $N'(x)$ is increasing in the interval $(11\frac{1}{3},20)$ on 10≤x≤40.

7 0

3 years ago

Write the point-slope form of the given line that passes through the points (0, 3) and (4, 0). Identify (x1, y1) as the x-interc

Oksi-84 [34.3K]

The point slope form of the line has the following form:

y – y1 = m (x – x1)

The slope m can be calculated using the formula:

m = (y2 – y1) / (x2 – x1)

m = (3 - 0) / (0 – 4) = - ¾

So the whole equation is:

y – 0 = - ¾ (x – 4)

y = - ¾ (x – 4) or

y = - 0.75 (x – 4)

7 0

3 years ago

The interior angle of a polygon is 100 . The other interior angle are all equal to 110. how many sides has the polygon?​

The interior angle of a polygon is 100 . The other interior angle are all equal to 110. how many sides has the polygon?