exam Maths Puzzle Numerical Ability

Using coordinate geometry, prove that the segments joining the midpoints of the opposite sides of a rectangle are perpendicular.

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exam Other Question

Determine the sum for the geometric series 1/2 - 1/3 + 2/9 - 4/27 +... I need to find out how many gumballs are in a gumball machine. If the diameter of the sphere is 4cm and if a square of 9 gumballs is 1/2cm. I am clueless. Please help.