Answer:
x = 11
Step-by-step explanation:
By intersecting chords theorem:
[tex]27(x + 5) = 24(x + 7) \\ 27x + 135 = 24x + 168 \\ 27x - 24x = 168 - 135 \\ 3x = 33 \\ x = \frac{33}{3} \\ x = 11[/tex]
