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.
Ukrainian forces have since put up a strong resistance to the Russian troops amid the war that has left hundreds of Ukrainian civilians, including children, dead, according to the United Nations. Ukrainian and international officials have accused Russia of targeting civilian populations with shelling and bombardments. To that end, when files are actively downloading, a new icon now appears in the Search bar that users can tap to view and manage downloads, pause and resume all downloads or just individual items, and select one to increase its priority or view it in a chat. As such, the SC would like to remind investors to always exercise caution when evaluating investment opportunities, especially those promising unrealistically high returns with little or no risk. Investors should also never deposit money into someone’s personal bank account if instructed. In a message on his Telegram channel recently recounting the episode, Durov wrote: "I lost my company and my home, but would do it again – without hesitation." Again, in contrast to Facebook, Google and Twitter, Telegram's founder Pavel Durov runs his company in relative secrecy from Dubai.
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