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Задача 52:
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В равнобедренном треугольнике ABC, AB = BC. Точка D на BC такова, что верно равенство углов: DAB = BAC. Точки X и Y на AB и BC соответственно таковы, что AX : XB = 2 : 1 и BY : YC = 2 : 1. Доказать, что отражение D относительно XY лежит на AC.



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Задача 52:
Автор - Ким Пëтр

В равнобедренном треугольнике ABC, AB = BC. Точка D на BC такова, что верно равенство углов: DAB = BAC. Точки X и Y на AB и BC соответственно таковы, что AX : XB = 2 : 1 и BY : YC = 2 : 1. Доказать, что отражение D относительно XY лежит на AC.

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Two days after Russia invaded Ukraine, an account on the Telegram messaging platform posing as President Volodymyr Zelenskiy urged his armed forces to surrender. The S&P 500 fell 1.3% to 4,204.36, and the Dow Jones Industrial Average was down 0.7% to 32,943.33. The Dow posted a fifth straight weekly loss — its longest losing streak since 2019. The Nasdaq Composite tumbled 2.2% to 12,843.81. Though all three indexes opened in the green, stocks took a turn after a new report showed U.S. consumer sentiment deteriorated more than expected in early March as consumers' inflation expectations soared to the highest since 1981. Ukrainian forces successfully attacked Russian vehicles in the capital city of Kyiv thanks to a public tip made through the encrypted messaging app Telegram, Ukraine's top law-enforcement agency said on Tuesday. Oleksandra Matviichuk, a Kyiv-based lawyer and head of the Center for Civil Liberties, called Durov’s position "very weak," and urged concrete improvements. Multiple pro-Kremlin media figures circulated the post's false claims, including prominent Russian journalist Vladimir Soloviev and the state-controlled Russian outlet RT, according to the DFR Lab's report.
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