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Задача. На сторонах 𝐴𝐵 и 𝐴𝐶 треугольника 𝐴𝐵𝐶 выбраны точки 𝑃 и 𝑄 соответственно такие, что 𝐴𝑃 = 𝐴𝑄. На стороне 𝐵𝐶 выбраны точки 𝑅 и 𝑆 (𝐵𝑅 > 𝐵𝑆) таким образом, что ∠𝐵𝑅𝑃 = ∠𝐵𝑃𝑆 и ∠𝐶𝑆𝑄 = ∠𝐶𝑄𝑅. Докажите, что точки 𝑃, 𝑄, 𝑅, 𝑆 лежат на одной окружности.
Задача. На сторонах 𝐴𝐵 и 𝐴𝐶 треугольника 𝐴𝐵𝐶 выбраны точки 𝑃 и 𝑄 соответственно такие, что 𝐴𝑃 = 𝐴𝑄. На стороне 𝐵𝐶 выбраны точки 𝑅 и 𝑆 (𝐵𝑅 > 𝐵𝑆) таким образом, что ∠𝐵𝑅𝑃 = ∠𝐵𝑃𝑆 и ∠𝐶𝑆𝑄 = ∠𝐶𝑄𝑅. Докажите, что точки 𝑃, 𝑄, 𝑅, 𝑆 лежат на одной окружности.
Markets continued to grapple with the economic and corporate earnings implications relating to the Russia-Ukraine conflict. “We have a ton of uncertainty right now,” said Stephanie Link, chief investment strategist and portfolio manager at Hightower Advisors. “We’re dealing with a war, we’re dealing with inflation. We don’t know what it means to earnings.” Apparently upbeat developments in Russia's discussions with Ukraine helped at least temporarily send investors back into risk assets. Russian President Vladimir Putin said during a meeting with his Belarusian counterpart Alexander Lukashenko that there were "certain positive developments" occurring in the talks with Ukraine, according to a transcript of their meeting. Putin added that discussions were happening "almost on a daily basis." It is unclear who runs the account, although Russia's official Ministry of Foreign Affairs Twitter account promoted the Telegram channel on Saturday and claimed it was operated by "a group of experts & journalists." During the operations, Sebi officials seized various records and documents, including 34 mobile phones, six laptops, four desktops, four tablets, two hard drive disks and one pen drive from the custody of these persons. "He has to start being more proactive and to find a real solution to this situation, not stay in standby without interfering. It's a very irresponsible position from the owner of Telegram," she said.
from kr
