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Задача. Пусть 𝐼 — центр вписанной окружности остроугольного треугольника 𝐴𝐵𝐶. Точки 𝑃, 𝑄, 𝑅 выбраны на сторонах 𝐴𝐵, 𝐵𝐶, 𝐶𝐴 соответственно так, что 𝐴𝑃 = 𝐴𝑅 и 𝐵𝑃 = 𝐵𝑄, и ∠𝑃𝐼𝑄 =∠𝐵𝐴𝐶. Докажите, что 𝑄𝑅 ⊥ 𝐴𝐶.
В международный день гор, желаем вам достигнуть новых высот 🪜
Задача. Пусть 𝐼 — центр вписанной окружности остроугольного треугольника 𝐴𝐵𝐶. Точки 𝑃, 𝑄, 𝑅 выбраны на сторонах 𝐴𝐵, 𝐵𝐶, 𝐶𝐴 соответственно так, что 𝐴𝑃 = 𝐴𝑅 и 𝐵𝑃 = 𝐵𝑄, и ∠𝑃𝐼𝑄 =∠𝐵𝐴𝐶. Докажите, что 𝑄𝑅 ⊥ 𝐴𝐶.
В международный день гор, желаем вам достигнуть новых высот 🪜
The Security Service of Ukraine said in a tweet that it was able to effectively target Russian convoys near Kyiv because of messages sent to an official Telegram bot account called "STOP Russian War." Pavel Durov, Telegram's CEO, is known as "the Russian Mark Zuckerberg," for co-founding VKontakte, which is Russian for "in touch," a Facebook imitator that became the country's most popular social networking site. Some people used the platform to organize ahead of the storming of the U.S. Capitol in January 2021, and last month Senator Mark Warner sent a letter to Durov urging him to curb Russian information operations on Telegram. 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. On December 23rd, 2020, Pavel Durov posted to his channel that the company would need to start generating revenue. In early 2021, he added that any advertising on the platform would not use user data for targeting, and that it would be focused on “large one-to-many channels.” He pledged that ads would be “non-intrusive” and that most users would simply not notice any change.
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