Answer:
D. HJ = 25, JK = 25, HK = 50.
Step-by-step explanation:
Given : J is the midpoint of HK¯¯¯¯¯¯¯ . and HK and Measure of segment HJ is 9x-2 and that of segment JK is 4x+13.
To find : What are HJ, JK, and HK.
Solution ; We have given that J is the midpoint of HK
HJ = 9x-2 .
JK = 4x+13.
Midpoint : point that divide the line in to two equally parts.
Then
HJ = Jk
9x-2 = 4x+13 .
On subtracting 4x from both sides
9x -4x -2 = 13
5x - 2 = 13.
On adding by 2 both sides
5x = 15
On dividing both sides bu 5
x = 3.
Then HJ = 9 (3) - 2
HJ = 27 - 2 = 25
HJ = 25 .
JK = 4 ( 3) + 13
JK = 12 + 13 = 25 .
Jk = 25 .
HK = HJ + Jk .
HK = 25 + 25.
HK = 50.
Therefore, D. HJ = 25, JK = 25, HK = 50.
