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Bot GPT 4-o mini In a rectangle, the diagonals are equal in length. Therefore, we can set the lengths of diagonals AC and BD equal to each other:
\[
52x = 2x + 5
\]
Now, we can solve for \(x\):
1. Subtract \(2x\) from both sides:
\[
52x - 2x = 5
\]
\[
50x = 5
\]
2. Now, divide both sides by 50:
\[
x = \frac{5}{50}
\]
\[
x = \frac{1}{10}
\]
Thus, the value of \(x\) is \(\frac{1}{10}\).