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Quadrilateral WXYZ has right angles at angle W and angle Y and an acute angle at angle X. Altitudes are dropped from X and Z to diagonal WY, meeting WY at O and P. Prove that OW = PY.
Points P, Q, and R are on sides AB, CD, and BC of rectangle ABCD such that BP=4, CQ=18, <PRQ=90, and CR = 2BR. Find PQ.
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