Final answer:
The question involves finding the value of x in a geometry problem related to perpendicular bisectors. Without additional context or a diagram, it's not possible to provide an exact solution. Typically, this problem would involve setting the lengths of segments created by the bisector equal and solving for x.
Step-by-step explanation:
The student's question involves a geometry problem related to perpendicular bisectors and finding the value of an unknown variable, x. Without a diagram or more information, it’s not possible to provide a step-by-step solution for the value of x. However, the concept underlying such problems is that if BC is the perpendicular bisector of AD, then AB is equal to CD, and if points A and D have x-coordinates given by expressions involving x, then setting these equal to each other would allow us to solve for x.
For example, if A were at 7x + 10 and D were at 9x - 2, setting them equal and solving for x would find the value of x that satisfies the conditions of the problem.