Answer :

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Answer:

[tex]XY=20\ m[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The Intersecting Secant-Tangent Theorem  states that: The product of the segments  UX and XY on the secant line  U Y equal the square on the tangent line  UV.

so

[tex](UX)(XY)=UV^2[/tex]

substitute the given values

[tex](5)(XY)=10^2[/tex]

solve for XY

[tex]XY=100/5\\XY=20\ m[/tex]

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