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4 years ago

The sum of the interior angles of an n-gon is _____(n - 2). 360° 180° 270° 540°

Mathematics

2 answers:

nasty-shy [4]4 years ago

8 0

The sum of the interior angles of an n-sided polygon can be calculated using formula

$\Sigma =(n-2)\cdot 180^{\circ}.$

It is easy to verify:

1. If n=3 (the smallest possible number of sides for polygon), then the polygon is triangle and the sum of the measures of interior angles of triangle is always 180° .

2. If n>3, draw (n-3) diagonals from one vertex. This diagonals partition the polygon into (n-2) triangles. Thus, the sum of the interior angles of an n-sided polygon is equal to the sum of the measures of interior angles of (n-2) triangles that is

$\Sigma =(n-2)\cdot 180^{\circ}.$

Answer: correct choice is B

Lapatulllka [165]4 years ago

3 0

The sum of the interior angles is 180°

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10 2.5 16 4 ? 7.5 48 12 Which statement explains how to find the number of minutes it takes to bike 7.5 miles? Find the ratio of

svet-max [94.6K]

Answer:

Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.

Step-by-step explanation:

Given

Minutes: 10 || 16 || ? || 48

-----Miles: 2.5 || 4 || 7.5 || 12

Required

Which statements solve for the missing value?

First, we need to calculate the ratio of minutes to mile

$Ratio = \frac{Minutes}{Mile}$

When minutes = 16; mile = 4

So, we have:

$Ratio = \frac{16}{4}$

$Ratio = 4$

Next, we multiply the ratio by 7.5

$Minutes = Ratio * 7.5$

$Minutes =4 * 7.5$

$Minutes = 30$

Hence, option B answers the question.

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3 years ago

If one side of a triangle is one-third the perimeter, the second side is one-fifth the perimeter, and the third side is 7 meters

-Dominant- [34]

7 + 7(1/3) + 7(1/5)
= 10 11/15 m

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3 years ago

HELP ME PLZ!! I WILL GIVE U 10 POINTS!!

yanalaym [24]

That's a lot of questions. First, they're asking for how much each person pledged. Ivan said he would give $4.25, plus $1.25 per mile. As an expression, that would be 1.25m+4.25 . Vicky said that she would give $5.75, plus $.75 per mile, which would be .75m+5.75 . The second problem asks you to add the two, so add 1.25m and .75m to get the total amount she would earn per mile, which is $2. If I got paid $2 for every mile I biked, I would bike a marathon. Then add the flat payments of $4.25 and $5.75, and you get $10. So, the final equation would be 2m+10.

The last question is asking for you to find an equivalent proportional expression. To find this, you can just dividing by the greatest common factor of the two numbers. I got 2, so the equation would be 1m+5.

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3 years ago

4. Thoughtful Politicians [This problem setting is due to Prof. James Norris of Cambridge University.] In a group of 100 politic

kirill [66]

Answer:

Step-by-step explanation:

The focus is on Party 2, because as already said, Party 1 members NEVER change their minds on anything!

There are 60 politicians in Party 2. They change their minds completely-randomly every day.

Tomorrow, the politicians will vote on a proposition: Proposition 88, but today, 10 are in favor of it while 50 are against it.

Each member changes their mind based on the toss of a coin (a fair/unbiased coin; since it was not stated that the coin is biased). A fair coin has a 0.5 probability of landing HEADS and same 0.5 probability of landing TAILS.

What is the distribution of the number of members in Party II who will favor Prop 88 tomorrow?

The number of figures in the distribution will depend on the number of times the coin is tossed, between today and tomorrow.

KEY: Assuming the coin is tossed 12 times between today and tomorrow AND assuming that half of the time - 6 times - it landed HEADS and half of the time, TAILS (Head and Tail simultaneously).

Beginning with HEADS, the distribution of the number of members who will favor the proposition tomorrow, is:

50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10

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3 years ago

A regular pentagon has an exterior angle with a measure of 20 degrees find number of sides

Harlamova29_29 [7]

ans: there are 5 sides

pentagon is a five sided polygon

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3 years ago