Answer:
x = 4
Step-by-step explanation:
You want the measure of the segment marked x in the diagram of circle secants shown.
Secants
The product of distances from the point where the secants intersect to the two circle intercepts is the same for each secant:
4 × (4 +11) = 6 × (6 +x)
60 = 6 × (6 +x) . . . . . . . . . simplify
10 = 6 +x . . . . . . . . . . . divide by 6
4 = x . . . . . . . . . . . . subtract 6
The length marked x is 4 units.
