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Helga [31]
2 years ago
13

A student thinks that the regular pentagon in the diagram

Mathematics
1 answer:
Nadya [2.5K]2 years ago
4 0

Answer:

A

Step-by-step explanation:

The student must have thought that every single arrowhead is a line of symmetry, so since there are 10 arrowheads, there must be 10 lines of symmetry. This is incorrect because if you look closely at the diagram, each line has 2 arrowheads, so the student is overcounting by a factor of 2. They should have just counted the number of lines, not arrowheads. Therefore, there must be 10/2 = 5 lines of symmetry, not 10. Hope this helps!

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Find the measures of two angles, one positive and one negative, that are coterminal with <img src="https://tex.z-dn.net/?f=%5Cfr
aleksandrvk [35]

Answer:

a. 11/5 pi; -9/5 pi

Step-by-step explanation:

Coterminal angles are those which have a common terminal side. For example 30° is coterminal with −330° and 390° (see figure).

From the example we can see that the following expressions must be fulfilled:

positive angle - reference angle = 360°

reference angle - negative angle = 360°

where positive angle is 390°, reference angle is 30° and negative angle is -330°. In this problem reference angle is pi/5. Also, we have to change 360° for its equivalent in radians, i. e., 2 pi. So,

positive angle - pi/5 = 2 pi

positive angle = 2 pi + pi/5

positive angle = 11/5 pi

pi/5 - negative angle = 2 pi

negative angle = pi/5 - 2 pi

negative angle = -9/5 pi

5 0
2 years ago
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Trava [24]
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6 0
2 years ago
Question 3
DanielleElmas [232]
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6 0
3 years ago
Sam divided A rectangle into 8 congruent rectangles that each have the area shown. what is tge area of tge rectangle befoe sam d
aniked [119]

No area is shown. So befoe sam divided it,
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3 0
3 years ago
The number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9 is . The probabi
Tems11 [23]

Answer:

1/15

Step-by-step explanation:

When we form such three-digit numbers with distinct digits using the digits  1 , 2 , 3 , 5 , 8  and  9  (in all six digits all different), observe that the order of digits does matter. For example, if we make a number using digits  1 , 2 ,  and  3 , we can have  123 , 132 , 231 , 213 , 312  or  321 .

Hence we have to find number of  3  digit numbers that can be made from these six digits using permutation and answer is ⁶ P ₃ =  6  ×  5  ×  4  =  120 .

.How haw many of them will have first digit as even, we have two choices  2  and  8 . Once we have chosen  2

for hundreds place, we can have only  8  in units place and any one of remaining  4  can be used in tens place. Hence four choices, with  2  in hundreds place and another four choices when we have  8  in hundreds place (and  2  in units place) i.e. total 8  possibilities.

Hence, the probability, that both the first digit and the last digit of the three digit number are even numbers, is  8  /120  =  1 /15

.

4 0
2 years ago
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