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oee [108]
3 years ago
5

Can someone please help me ASAP

Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0
-2,8 is the correct answer
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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
Taylor bought a watch on sale for 60% off of the original price, and another 10% off of the discounted price. If the watch origi
Lorico [155]

Answer:

I think the answer is $4.92.

Step-by-step explanation:

Although the answer seems a little unreasonable, I think this is the answer:

$82 * 60% = $49.2

49.2 * 10% = $4.92

Please mark brainliest if correct!!!!!!!!!!!!!!! have a nice day!!

8 0
3 years ago
If 3 apples cost $6 how much would 1 Apple cost
AnnyKZ [126]
Divide 6 by 3
3 goes into 6, 2 times so one apple costs $2
8 0
3 years ago
Read 2 more answers
Betsy and 3 of her friends are splitting a whole watermelon. There are 6 circular slices of watermelon. How many slices of water
ycow [4]
So you are going to do 3 divided by 6
6 0
3 years ago
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I need someone to solve this problem for me please
Amiraneli [1.4K]
First, solve the area of the entire large rectangle (28)(45) = 1260
Next, find the area of the chunk that is cut out (11)(15) = 165
- we know the width is 15 because 45 - 6 - 24
Subtract the cut out piece from the overall rectangle 1260 - 165 = 1095
7 0
3 years ago
Read 2 more answers
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