Answer:
x = 4
Explanation:
You want the value of x in the figure of a circle with intersecting secants.
Secant relation
The product of lengths from the near and far circle intercepts to the point where the secants intersect is the same for both secants:
6(6+10) = 8(8+x)
6·16 = 8·(8+x)
12 = 8 +x . . . . . . . divide by 8
4 = x . . . . . . . . . . subtract 8
The length x is 4 units.
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