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LuckyWell [14K]
3 years ago
11

What value of x makes the equation true: 2x+5=37 ?

Mathematics
2 answers:
noname [10]3 years ago
7 0
Subtract the 5 from 37 which equals 32. Then divide 32 by 2 which equals 16
Sophie [7]3 years ago
5 0
The value of x is 16.
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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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