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Parallel lines l1 and l2 are 1 unit apart. Unit square W X Y Z lies in the same plane with vertex W on l1 . Linel2 intersects segments Y X and Y Z at points U and O, respectively. Given U O = 9 , the inradius of △Y OU

m 10 can be expressed as n for relatively prime positive integers m, n. Find m + n.

 
 Apr 25, 2020

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