Answer:
5. x = 17
7. x = 2
Explanation:
The applicable relation is, "the product of the near distance to the circle and the far distance to the circle is the same for each secant." Distance is measured from the point where the secants intersect.
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5.
Using the rule, we have ...
7(7+x) = 8(8+13)
7+x = 24 . . . . . . . . . divide by 7
x = 17 . . . . . . . . . . subtract 7
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7.
The same rule applies.
7(7 +6x -1) = 9(9 +x +3)
42x +42 = 9x +108 . . . . . . simplify
33x = 66 . . . . . . . . . . . . . subtract 9x+42
x = 2 . . . . . . . . . . . . . . divide by 33