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2 years ago

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

Mathematics

2 answers:

Sever21 [200]2 years ago

8 0

Because consecutive vertices are already connected by the edges of the polygon.

oksian1 [2.3K]2 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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Simplify the rational expression x^4 y^2/xy^7.

sammy [17]

Answer: $x^3y^9$

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): Dot was discarded near "7.".

STEP 1:

Simplify $\frac{y^2}{x}$

The equation at the end of step 1:

$((x^4)*\frac{y^2}{x} )*y^7$

Multiplying exponential expressions:

2.1 $y^2$ multiplied by $y^7$ $=y^(2+7)=y^9$

Final result is $x^3y^9$

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1 year ago

Write an equation to model the total charge y (in dollars) in terms of x (the number of miles), A car rental

dangina [55]

Answer: the answer is C: y=4x+25

Step-by-step explanation:

25= B which is the initial charge and being that no other answer has a matching response, I connected the clues.

6 0

2 years ago

The cost of a large cake at a bakery is $21.00. The cost of a small cake is

Alchen [17]

Answer:

The Subtotal cost of all the cakes before tax and delivery

Step-by-step explanation:

(21x+8.25y)

21 is the price of 1 large cake and X is the number of cakes they want to purchase not counting tax and delivery fee.

8.25 is the price of 1 small cake and Y is the number of cakes they want to purchase not counting tax and delivery fee.

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2 years ago

Please please help!!

Olenka [21]

Answer:

The formula T= 10d +20

A) what does each term on the right side of the equation represent?

10d⇒ 10 degrees increase per 1 km and 20 deg surface temperature

B) Estimate the depth where the temperature is 60 degrees C.

60=10d+20
10d=40
d=4 km

C) What is the approximate temperature at a depth of 4km?

T=10*4+20
T=60 deg

4 0

2 years ago

Producing a musical costs $88,000 plus $5900 per performance. one sold out performance earns $7500 in revenue. If every performa

yan [13]

X = # of perfomances

y = total amount of money

Income: y = 7500x

Expense: y = 5900x + 88000

Substitution:

7500x = 5900x + 88000

1600x = 88000

x = 55

y = 7500(55) = $412,500

55 performances are needed to break-even.

5 0

2 years ago