Answer:
x = 5
MP = 38
Step-by-step explanation:
The perpendicular bisector chord theorem states that the diameter that is perpendicular to a chord in a circle would divide the chord into two equal segments.
Therefore:
5x - 6 = 2x + 9
Collect like terms
5x - 2x = 6 + 9
3x = 15
x = 15/3
x = 5
✔️Find length of MP
MP = (5x - 6) + (2x + 9)
Plug in the value of x
MP = (5*5 - 6) + (2*5 + 9)
MP = 19 + 19
MP = 38