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.
Channels are not fully encrypted, end-to-end. All communications on a Telegram channel can be seen by anyone on the channel and are also visible to Telegram. Telegram may be asked by a government to hand over the communications from a channel. Telegram has a history of standing up to Russian government requests for data, but how comfortable you are relying on that history to predict future behavior is up to you. Because Telegram has this data, it may also be stolen by hackers or leaked by an internal employee. That hurt tech stocks. For the past few weeks, the 10-year yield has traded between 1.72% and 2%, as traders moved into the bond for safety when Russia headlines were ugly—and out of it when headlines improved. Now, the yield is touching its pandemic-era high. If the yield breaks above that level, that could signal that it’s on a sustainable path higher. Higher long-dated bond yields make future profits less valuable—and many tech companies are valued on the basis of profits forecast for many years in the future. 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. The fake Zelenskiy account reached 20,000 followers on Telegram before it was shut down, a remedial action that experts say is all too rare. Telegram was founded in 2013 by two Russian brothers, Nikolai and Pavel Durov.
from jp
