assign the responsibility for doing something to (someone)
委托,托付
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I've been entrusted with the task of getting him safely back. 交给我的任务是把他平安找回来。
put (something) into someone's care or protection
委托看管(或保管)
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you persuade people to entrust their savings to you .你负责说服人们将积蓄托付给你保管。