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Wayne Mills awards the points in a sudden-death playoff during the Wellington Region Kids' Lit Quiz in 2010. The Kids' Lit Quiz is an annual literature competition, in which teams of four students, aged 10 to 14, work together to answer wide-ranging literary questions. The winning team from each region competes in the national final.
The Ages of Three Children puzzle (sometimes referred to as the Census-Taker Problem [1]) is a logical puzzle in number theory which on first inspection seems to have insufficient information to solve. However, with closer examination and persistence by the solver, the question reveals its hidden mathematical clues, especially when the solver ...
Pointless is a British television quiz show produced by Banijay subsidiary Remarkable Entertainment for the BBC hosted by Alexander Armstrong.In each episode, four teams of two contestants attempt to find correct but obscure answers to four rounds of general knowledge questions, with the winning team eligible to compete for the show's cash jackpot.
For larger scales the sum of the angles of a triangle is not equal to 180°. Geometry is one of the oldest branches of mathematics. It started with empirical recipes concerning shapes, such as lines, angles and circles, which were developed mainly for the needs of surveying and architecture, but has since blossomed out into many other subfields ...
The center of the incircle, called the incenter, can be found as the intersection of the three internal angle bisectors. [3] [4] The center of an excircle is the intersection of the internal bisector of one angle (at vertex A, for example) and the external bisectors of the other two.
Equivalently, an inscribed angle is defined by two chords of the circle sharing an endpoint. The inscribed angle theorem relates the measure of an inscribed angle to that of the central angle intercepting the same arc. The inscribed angle theorem appears as Proposition 20 in Book 3 of Euclid's Elements.
The supplement of an interior angle is called an exterior angle; that is, an interior angle and an exterior angle form a linear pair of angles. There are two exterior angles at each vertex of the polygon, each determined by extending one of the two sides of the polygon that meet at the vertex; these two angles are vertical and hence are equal.
[5] [6] Azimuth has also been more generally defined as a horizontal angle measured clockwise from any fixed reference plane or easily established base direction line. [ 7 ] [ 8 ] [ 9 ] Today, the reference plane for an azimuth is typically true north , measured as a 0° azimuth, though other angular units ( grad , mil ) can be used.