Question

Find the value of P?

Answer 1

This theorem should help quite a bit:
whenever 2 chords (for example AB and CD) of a circle intersect at a point E,
then AE • EB = CE • ED
We'll say AB=8.5 AE=4 and EB= 4.5
AE * EB = 18
We'll say CE=6 and therefore ED= (4 • 4.5) /6
ED = 18 / 6 = 3
So, 2*p-3 =3
p = 3 (which is also the length of ED)

Answer 2

Thank you!

Answer 3

You are welcome - by the way here's an upgrade to your diagram.