3 years ago

Someone help me pls

Mathematics

1 answer:

Delicious77 [7]3 years ago

8 0

Answer:

ans is 5 -¹⁸ thanks for asking

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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.

8 0

3 years ago

What is the best description of the relation in Item 2?

Over [174]

Whats item 2? there’s no context

7 0

3 years ago

Sarah's mom takes the parkway to work it takes her 30 minutes to travel from mile marker 88th where she answers to her exit at m

pentagon [3]

121- 88 = 33 miles traversed in 30 minutes.

d = r*t
33 = r* (.5 hr)

Solve for r. Average speed will be in miles per hour. <span>
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3 years ago

Tommy ate 512 of pizza, Johnny ate 14 of the pizza, and Mike ate 112 of the same pizza. How much of the pizza did they eat toget

statuscvo [17]

Answer:

126

Step-by-step explanation:

112 plus 14 equals to 126

they ate 126 pizzas all together

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3 years ago

Helppppppp! Find the length of PQ if PQR is an isosceles triangle with PQ ≈ QR.

KATRIN_1 [288]

Answer:

Step-by-step explanation:

3x + 10 = 5x - 12

10 = 2x - 12

22 = 2x

x = 11

check:

33 + 10 = 55 - 12

43 = 43

correct

x = 11 so bring this into 3x + 10

we get 43

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3 years ago