The value of x in the segment formed by the two intersecting chords is determined as 19.
How to calculate the value of x?
The value of x is calculated by applying intersecting chord theorem as follows.
If we apply this theorem, about the product of segments of the chords, we will have:
8 (8 + x) = 9 (9 + 15)
64 + 8x = 9 (24)
64 + 8x = 216
collect similar terms together;
8x = 216 - 64
8x = 152
x = 152 / 8
x = 19
Thus, the value of x in the segment formed by the two intersecting chords of the circle is determined as 19.