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Question
trec is a rectangle. what is the length of et? 10 units 17 units 20 units 34 units
Step1: Use the property of rectangle diagonals
In a rectangle, the diagonals are equal. So \(2x - 3=x + 7\).
Step2: Solve the equation for \(x\)
Subtract \(x\) from both sides: \(2x-x-3=x - x+ 7\), which gives \(x-3 = 7\).
Add \(3\) to both sides: \(x-3 + 3=7 + 3\), so \(x = 10\).
Step3: Find the length of the diagonal
Substitute \(x = 10\) into \(x + 7\) (or \(2x-3\)). Using \(x + 7\), we get \(10+7=17\).
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17 units