3 years ago

Anybody bother to help???

Mathematics

1 answer:

Dovator [93]3 years ago

5 0

Idk about number 4 but I think the other ones are correct

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How many triangles and quadrilaterals altogether can be formed using the vertices of a 7-sided regular polygon?

MAVERICK [17]

Answer: The correct option is

(E) 70.

Step-by-step explanation: We are given to find the number of triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.

To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

$n_t=^7C_3=\dfrac{7!}{3!(7-3)!}=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}=35.$

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

$n_q=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.$

Therefore, the total number of triangles and quadrilaterals is

$n=n_t+n_q=35+35=70.$

Thus, option (E) is CORRECT.

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2 years ago

what is the difference between the surface areas of the Pyramid of Khafre and the Pyramid of Menkaure?

Svet_ta [14]

What do you think it is????

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2 years ago

Dougie has a January hiking goal. Dougie

igomit [66]

Answer:

84 miles

Step-by-step explanation:

35% as a decimal is .35.

240*.35=84

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2 years ago

The perimeter of a rectangle is 30 in. if its lenth is 3 times the width, find the deminsions

MAXImum [283]

Step-by-step explanation:

2w+3(2w)=30

8w=30

w=3.75

l=11.25

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Would you rather buy one 8-lb container of ice cream for $24.56, or two 3-lb 11-oz containers of ice cream for $23.60?

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Step-by-step explanation:

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3 years ago

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