Задача. Дан треугольник 𝐴𝐵𝐶. Обозначим через 𝑀 середину стороны 𝐴𝐶, а через 𝑃 — середину отрезка 𝐶𝑀. Описанная окружность треугольника 𝐴𝐵𝑃 пересекает отрезок 𝐵𝐶 во внутренней точке 𝑄. Докажите, что ∠𝐴𝐵𝑀 = ∠𝑀𝑄𝑃.
Задача. Дан треугольник 𝐴𝐵𝐶. Обозначим через 𝑀 середину стороны 𝐴𝐶, а через 𝑃 — середину отрезка 𝐶𝑀. Описанная окружность треугольника 𝐴𝐵𝑃 пересекает отрезок 𝐵𝐶 во внутренней точке 𝑄. Докажите, что ∠𝐴𝐵𝑀 = ∠𝑀𝑄𝑃.
At its heart, Telegram is little more than a messaging app like WhatsApp or Signal. But it also offers open channels that enable a single user, or a group of users, to communicate with large numbers in a method similar to a Twitter account. This has proven to be both a blessing and a curse for Telegram and its users, since these channels can be used for both good and ill. Right now, as Wired reports, the app is a key way for Ukrainians to receive updates from the government during the invasion. Following this, Sebi, in an order passed in January 2022, established that the administrators of a Telegram channel having a large subscriber base enticed the subscribers to act upon recommendations that were circulated by those administrators on the channel, leading to significant price and volume impact in various scrips. 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. In the United States, Telegram's lower public profile has helped it mostly avoid high level scrutiny from Congress, but it has not gone unnoticed. In a statement, the regulator said the search and seizure operation was carried out against seven individuals and one corporate entity at multiple locations in Ahmedabad and Bhavnagar in Gujarat, Neemuch in Madhya Pradesh, Delhi, and Mumbai.
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