Marc is building a gazebo and wants to brace each corner by placing a 8-inch wooden bracket diagonally as shown. How far below the corner should he fasten the bracket if he wants the distances from the corner to each end of the bracket to be equal? (Round to the nearest tenth of an inch.)

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Explanation: If a number divided by 40 has a quotient of 6 with a remainder of 16, it means that 40 goes into the number 6 times and still has 16 left over. We'll call the number x and say x/40=6 16/40and solve for x. 6 16/40 equals256/40because (40×6)+16=240+16=256⇒x/40=256/40⇒x

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