9514 1404 393
Answer:
AC = 25
Step-by-step explanation:
The product of the near and far distances from C to the circle is the same for each segment. For segment CD, the near and far distances are the same. So, we have ...
CD² = CB·CA
CA = CD²/CB = 15²/9 = 25
The length AC is 25 units.
_____
It seems possible that in some other versions of this question you might be asked to find x. Then you have ...
AB = AC -BC = 25 -9 = 16
3x +1 = 16 . . . substitute for AB
3x = 15 . . . . . subtract 1
x = 5 . . . . . . . divide by 3
