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hammer [34]
3 years ago
13

If A represents the set of all even integers and B represents the set of all odd integers, what is A∩B

Mathematics
1 answer:
Virty [35]3 years ago
7 0

Answer:

A∩B=∅

Step-by-step explanation:

A intersect B have no elements in common - so we have the empty set.

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J is the midpoint of HK¯¯¯¯¯¯¯ . What are HJ, JK, and HK?
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Since J is the midpoint of HK, that means HK is split into two sections HJ and JK that are the same length.

1) You are told that the m<span>easure of segment HJ = 9x-2 and that of segment JK = 4x+13. Since you also know they are equal lengths, you can set these equations equal to each other to find the value of x!
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2) Now you know x = 3. Plug that into your given equations for HJ and JK to find the length of each segment (or a shortcut would be to find one of them, and then you also know the other is the same length. I'm doing both, just to make sure I don't make a silly mistake!):
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3) Finally, the length of HK is just the length of HJ + JK, or HK = 25 + 25 = 50.

-----

Answer: HJ = 25, JK = 25, HK = 50
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