exam Maths Puzzle Numerical Ability

If the total bill at a restaurant, including a 15% tip is $65.32, what was the cost of the meal alone?

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exam Other Question

Given a regular pentagon with radii and an apothem drawn, prove that the apothem bisects the vertex angle of the isoceles triangle formed by the radii.

I tried proving the two write the equation of a circle with center (0,2) and radius square root of 6