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.
Russian President Vladimir Putin launched Russia's invasion of Ukraine in the early-morning hours of February 24, targeting several key cities with military strikes. Either way, Durov says that he withdrew his resignation but that he was ousted from his company anyway. Subsequently, control of the company was reportedly handed to oligarchs Alisher Usmanov and Igor Sechin, both allegedly close associates of Russian leader Vladimir Putin. "The inflation fire was already hot and now with war-driven inflation added to the mix, it will grow even hotter, setting off a scramble by the world’s central banks to pull back their stimulus earlier than expected," Chris Rupkey, chief economist at FWDBONDS, wrote in an email. "A spike in inflation rates has preceded economic recessions historically and this time prices have soared to levels that once again pose a threat to growth." So, uh, whenever I hear about Telegram, it’s always in relation to something bad. What gives?
from ua
