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If (1, 2), (4, y), (x, 6) and (3, 5) are...

If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.

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To find the values of \( x \) and \( y \) for the vertices of the parallelogram given by the points \( (1, 2) \), \( (4, y) \), \( (x, 6) \), and \( (3, 5) \), we will use the property that the diagonals of a parallelogram bisect each other. ### Step 1: Identify the points Let: - \( A(1, 2) \) - \( B(4, y) \) - \( C(x, 6) \) - \( D(3, 5) \) ...
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