ReviewS2

There are ten people at an acquaintance party. If they all shake hands, how many hand-shakes are possible?

How many sides does a polygon have if it has exactly 90 diagonals?

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Let 𝑥 and 𝑦 be positive integers that satisfy 8𝑥+3𝑦=75. Determine the maximum possible value of 𝑥+𝑦.

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What is the measure of the acute angle between the hour and minute hands of a 12-hour correctly working clock at 4:27?

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What is the perimeter of a rectangle of area 40 inscribed in a circle of radius 4?

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What is the area of the convex quadrilateral formed by connecting the points (1,2), (3,−5),(10,−10),(15,0) in that order?

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Shoelace