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!
HJ = JK
</span>9x-2 = 4x+13
5x = 15
x = 3
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!):
HJ = <span>9x-2
</span>HJ = 9(3) - 2
HJ = 27 - 2
HJ = 25
JK = 4x + 13
JK = 4(3) + 13
JK = 12 + 13
JK = 25
3) Finally, the length of HK is just the length of HJ + JK, or HK = 25 + 25 = 50.
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Answer: HJ = 25, JK = 25, HK = 50
Answer: 1,045.50
Step-by-step explanation: hope this helps champ.
Answer:


Step-by-step explanation:

1. ⟾ one dozen = 12, so 2 dozen = 12×2=24
⟾ 24 Joe's doughnuts = $6
⟾ 1 Joe's doughnuts or unit / rate = $6/24 = $1/4.
⟾ so per doughnut unit rate is $ 1/4.

2. ⟾ 24 hours = 5432 miles.
⟾ 1 hours = 5432/24 hours
⟾ 1 hours = 226•333 miles.
⟾ so aryan drove in 226•333 miles in 1 hours.
Hope it's helps you
1) 475
2)375
You need to multiply 25 by 27 and you get 675 then to get answer one you need to multiply 10 by 20 to get 200 the take 200 away from 675 to get 475 then do the same thing with the second problem 20x15 which is 300 the take 300 away from 675.
Answer:4
Step-by-step explanation: