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MakcuM [25]
3 years ago
12

Why do vertices connected by a diagonal of a polygon have to be nonconsecutive?

Mathematics
2 answers:
Sever21 [200]3 years ago
8 0
Because consecutive vertices are already connected by the edges of the polygon.
oksian1 [2.3K]3 years ago
8 0

Answer:

Basically, a segment which connects two consecutive vertices is not a diagonal, it's actually a side of a polygon.

So, in order to get a diagonal, you need to unit two nonconsecutive vertices, that way you won't get a side but a diagonal.

Actually, a diagonal of a polygon is defined as a segment which connects two nonconsecutive vertices.

Therefore, by definition, a diagonal must connect two nonconsecutive vertices.

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Three friends paid 26.25 to see a movie how much did each ticket cost
matrenka [14]
$8.75 is the answer.
You divide 26.25 by 3.
7 0
3 years ago
At Lake Clay, marine biologists catch,
Gemiola [76]

Step-by-step explanation:

Answer from: Quest

the answer is thin because within context, the stanza concludes the and frail tone the people have toward each other, and the fact that it would be thin, makes the most sense compared to "pliable" or "not hard or firm to the touch". hope this , good luck.

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8 0
2 years ago
Help me please <br> i need help lol
Dmitriy789 [7]

Answer:

<3 and <4 are supplementary

Step-by-step explanation:

<3 and <4 form a linear pair, so they are supplementary (=180 degrees)

8 0
3 years ago
Help meeeeeeeeeeeeeeeeeeeeeeeeeeee
pochemuha

Answer:

3

Step-by-step explanation:

I think the easiest way to go about this is to choose on of the answers and fill it in to see if it's correct. Since you only have 4 possible answers, there's no need to actually solve this.

In the question it already tells us that x does not equal 0, so that answer is automatically not correct. Now your down to three possible answers.

Start with -3. First, fill in the x with -3 for what the equation is supposed to equal. That gives you 3/-3. Simplified, that is -1. Now put -3 in for the x in the equation. That gives you 3/2(-3) + 1/2. After running that through your calculator or solving it, you end up with 0. So -3 is not your answer.

Next we'll try the 2. Do as we did last time, and fill in the x on the answer part of the equation. You now have 3/2. That doesn't simplify so it stays as is. Now for the equation. That makes it 3/2(2) +1/2. Put that in your calculator or solve, and you get 5/4. 5/4 does not equal 3/2 so 2 is not your answer.

That leaves 3. You can go ahead and run through the steps above using 3 if you want to double check, but since it's the only answer left, there isn't really a need to.

Hope this helps :)

6 0
3 years ago
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
Makovka662 [10]

Given:

The geometric sequence is:

n              a_n

1                        -4

2                      20

3                     -100

To find:

The explicit formula and list any restrictions to the domain.

Solution:

The explicit formula of a geometric sequence is:

a_n=ar^{n-1}            ...(i)

Where, a is the first term, r is the common ratio and n\geq 1.

In the given sequence the first term is -4 and the second term is 20, so the common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{20}{-4}

r=-5

Putting a=-4,r=-5 in (i), we get

a_n=-4(-5)^{n-1} where n\geq 1

Therefore, the correct option is B.

5 0
3 years ago
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