Final answer:
Insufficient data provided to find the values of SR, QV, QT, PQ, and VS related to the circumcenter V; additional context or data is necessary.
Step-by-step explanation:
The problem at hand seems to involve the circumcenter V and various line segments associated with it. The distances are represented in terms of x, and we need to find the values of SR, QV, QT, PQ, and VS based on provided equations. Unfortunately, the data is insufficient for a definitive solution as it seems to be a part of a more extensive set of information that is not included.
Typically, in such problems involving a circumcenter, we know that the circumcenter is equidistant from all vertices of the triangle. Hence, if QV represents the distance from the circumcenter to one vertex of a triangle, other distances to the vertices (like QT or SQ) should be equal.
However, with the given information, it's impossible to determine the value of x or the actual lengths of SR, QV, QT, PQ, and VS without further context or additional data.