Answer:
x = 6 , y = 18
Explanation:
given a tangent and a secant from an external point to the circle then the product of the secant's external part and the entire secant is equal to the square of the measure of the tangent, that is
5(5 + x + 9) = 10²
5(x + 14) = 100 ( divide both sides by 5 )
x + 14 = 20 ( subtract 14 from both sides )
x = 6
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given 2 intersecting chords of a circle then the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord , that is
3y = 9x = 9(6) = 54 ( divide both sides by 3 )
y = 18