Answer:
HJ = 52
JK = 79
Explanation:
Hello, I want to assume you are trying to determine either HJ or JK. Below is an illustration of how to determine either HJ or JK.
From the question given above, the following data were obtained:
HJ = 5x – 3
JK = 8x – 9
KH = 131
If we draw a straight line, we'll observe the following:
H_______J_______K
KH = HJ + JK
Next, we shall determine the value of x.
HJ = 5x – 3
JK = 8x – 9
KH = 131
KH = HJ + JK
131 = (5x – 3) + (8x – 9)
131 = 5x – 3 + 8x – 9
Collect like terms
131 + 3 + 9 = 5x + 8x
143 = 13x
Divide both side by 13
x = 143 / 13
x = 11
Finally, we shall determine HJ and JK. This can be obtained as follow:
For HJ:
HJ = 5x – 3
x = 11
HJ = 5(11) – 3
HJ = 55 – 3
HJ = 52
For JK:
JK = 8x – 9
x = 11
JK = 8x – 9
JK = 8(11) – 9
JK = 88 – 9
JK = 79