Answer:
PQ ≈ 20.5
Step-by-step explanation:
The product of lengths from R to the intersection points with the circle is the same for each secant:
RS×RT = RQ×RP
40(40 +31) = (44)(PQ +44)
40(71)/44 = PQ +44
PQ = 2840/44 -44 = 64 6/11 -44 = 20 6/11
PQ ≈ 20.5
