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Answer:

18

Step-by-step explanation:

since U is the midpoint of QT, QT = 2(QU)

similarly, QS = 2 (QR)

because QR is parallel to QS and QU is parallel to QT, triangle QUR is similar to triangle QTS. therefore, the scaling factor between QT/QU and QS/QR is equal to the scaling factor between RU and ST.

therefore,

ST  = 2(RU)

36 = 2(RU)

18 =RU

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