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:
Step-by-step explanation:
(vertical angles)
(Interior angles on the same side of transversal)
Answer:
π (Pi) is a famous irrational number.
Step-by-step explanation:
https://www.google.com/url?sa=i&source=images&cd=&ved=2ahUKEwiOs5uTkYHnAhUHVK0KHQG8D_gQjRx6BAgBEAQ&url=https%3A%2F%2Fwww.mathwarehouse.com%2Farithmetic%2Fnumbers%2Frational-and-irrational-numbers-with-examples.php&psig=AOvVaw1ZOfWq7B8H6G4s5Qp78RI-&ust=1579024048084516
