To determine the number of Quaker congregations in New Jersey in 1765, we simply need to look at the table provided. The table lists the number of active congregations for various religions during that year.
Here's a closer look at the relevant row for the Quaker congregations:
[tex]\[
\begin{tabular}{|c|c|}
\hline
Church & Active Congregations \\
\hline \text{Quaker} & 39 \\
\hline
\end{tabular}
\][/tex]
From this information, we can see that the number of active Quaker congregations in New Jersey in 1765 was [tex]\( \boxed{39} \)[/tex].
