The value of x is 14
HJ = 79
JK = 50
Calculating length of line segments
From the question, we are to determine the value of x and the length of each segment
From the given information,
Point J is between points H and K
Then, we can write that
HJ + JK = KH
Also, from the given information,
HJ = 6x - 5
JK = 4x - 6
KH = 129
6x - 5 + 4x - 6 = 129
6x + 4x -5 -6 = 129
10x - 11 = 129
10x = 129 + 11
10x = 140
x = 140/10
x = 14
∴ The value of x is 14
HJ = 6x - 5
∴ HJ = 6(14) - 5
HJ = 84 - 5
HJ = 79
Also,
JK = 4x - 6
JK = 4(14) - 6
JK = 56 - 6
JK = 50
Hence,
The value of x is 14
HJ = 79
JK = 50
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