Answer: Option (d).
Step-by-step explanation:
it is given that B is between A and C.
Using segment addition property, we get
[tex]AC=AB+BC[/tex]
The given values are AB = 46, BC = 12x, and AC = 142.
Substitute these values in the above equation.
[tex]142=46+12x[/tex]
[tex]142-46=12x[/tex]
[tex]96=12x[/tex]
[tex]\dfrac{96}{12}=x[/tex]
[tex]8=x[/tex]
[tex]x=8[/tex]
Therefore, the correct option is (d).
