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In geometry, the hinge theorem (sometimes called the open mouth theorem) states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle. [1]
A general form triangle has six main characteristics (see picture): three linear (side lengths a, b, c) and three angular (α, β, γ).The classical plane trigonometry problem is to specify three of the six characteristics and determine the other three.
Mario Draghi's 2012 statement [3] [4] that “the ECB will do whatever it takes to preserve the euro, and believe me, it will be enough”, is an example of a successful Open Mouth Operation used to lower the interest rates of Spanish government bonds: following the announcement, Spanish government bond interest rates dropped 352 basis points ...
A top Federal Reserve official said Monday that he is leaning toward supporting an interest rate cut when the Fed meets in two weeks but that evidence of persistent inflation before then could ...
Tesla is aiming to post slight growth in 2024 deliveries over last year with generous incentives across its EVs - but a lot depends on the success of the new Cybertruck pickup, which is showing ...
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
Editor’s Note: Read the latest on the lake-effect snow here.This story is no longer being updated. As biting cold temperatures sweep across a large swath of the US, parts of the Great Lakes face ...
"I'm really happy with the city, with the team, but at the end of the day, we will see," Soto said after the Yankees lost to the Dodgers in the World Series. "We're going to look at every ...