Final answer:
The length of PQ is 36.
Step-by-step explanation:
Given that O'DAYST bisects PR at point Q, and that PR = 2n + 16 and PQ = 3n + 6, we can set the two expressions equal to each other:
2n + 16 = 3n + 6
Subtracting 2n from both sides and subtract 6 from both sides, we get:
10 = n
Now, we can substitute this value of n into the expression for PQ:
PQ = 3(10) + 6
Simplifying, we get:
PQ = 30 + 6 = 36