Завершился кубок Колмогорова личной олимпиадой 🥇Публикуем ее условия 📝
Задача. Трапеция 𝐴𝐵𝐶𝐷 с основаниями 𝐴𝐷 и 𝐵𝐶 вписана в окружность 𝜔. Диагонали трапеции пересекаются в точке 𝐾. На лучах 𝐾𝐴 и 𝐾𝐵 выбраны точки 𝑋 и 𝑌 соответственно так, что отрезок 𝑋𝑌 касается 𝜔 в своей середине 𝑍. Докажите, что 𝑍 лежит на продолжении средней линии трапеции 𝐴𝐵𝐶𝐷.
Завершился кубок Колмогорова личной олимпиадой 🥇Публикуем ее условия 📝
Задача. Трапеция 𝐴𝐵𝐶𝐷 с основаниями 𝐴𝐷 и 𝐵𝐶 вписана в окружность 𝜔. Диагонали трапеции пересекаются в точке 𝐾. На лучах 𝐾𝐴 и 𝐾𝐵 выбраны точки 𝑋 и 𝑌 соответственно так, что отрезок 𝑋𝑌 касается 𝜔 в своей середине 𝑍. Докажите, что 𝑍 лежит на продолжении средней линии трапеции 𝐴𝐵𝐶𝐷.
In view of this, the regulator has cautioned investors not to rely on such investment tips / advice received through social media platforms. It has also said investors should exercise utmost caution while taking investment decisions while dealing in the securities market. What distinguishes the app from competitors is its use of what's known as channels: Public or private feeds of photos and videos that can be set up by one person or an organization. The channels have become popular with on-the-ground journalists, aid workers and Ukrainian President Volodymyr Zelenskyy, who broadcasts on a Telegram channel. The channels can be followed by an unlimited number of people. Unlike Facebook, Twitter and other popular social networks, there is no advertising on Telegram and the flow of information is not driven by an algorithm. In addition, Telegram's architecture limits the ability to slow the spread of false information: the lack of a central public feed, and the fact that comments are easily disabled in channels, reduce the space for public pushback. The news also helped traders look past another report showing decades-high inflation and shake off some of the volatility from recent sessions. The Bureau of Labor Statistics' February Consumer Price Index (CPI) this week showed another surge in prices even before Russia escalated its attacks in Ukraine. The headline CPI — soaring 7.9% over last year — underscored the sticky inflationary pressures reverberating across the U.S. economy, with everything from groceries to rents and airline fares getting more expensive for everyday consumers. Sebi said data, emails and other documents are being retrieved from the seized devices and detailed investigation is in progress.
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