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😴 Дано трикутник АВС, точки D та Е на його сторонах задовольняють умову BD = EC. Пряма DE перетинає пряму ВС в точці F, а точка N — середина дуги ВАС описаного колa трикутника ABC. Точка Х — інцентр трикутника ECF, а точка Y — центр зовнівписаного кола DBF.…
Продовжуючи тему горобців, задача на ніч:

Зовнішня бісектриса кута A перетинає описане коло трикутника ABC в точці F, у фокусі вписаної параболи Г. Доведіть, що дотична до Г в довільній точці X перетинає AC і BC у таких точках P і Q таких, що BQ = CP.



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Продовжуючи тему горобців, задача на ніч:

Зовнішня бісектриса кута A перетинає описане коло трикутника ABC в точці F, у фокусі вписаної параболи Г. Доведіть, що дотична до Г в довільній точці X перетинає AC і BC у таких точках P і Q таких, що BQ = CP.

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However, the perpetrators of such frauds are now adopting new methods and technologies to defraud the investors. So, uh, whenever I hear about Telegram, it’s always in relation to something bad. What gives? Official government accounts have also spread fake fact checks. An official Twitter account for the Russia diplomatic mission in Geneva shared a fake debunking video claiming without evidence that "Western and Ukrainian media are creating thousands of fake news on Russia every day." The video, which has amassed almost 30,000 views, offered a "how-to" spot misinformation. "Someone posing as a Ukrainian citizen just joins the chat and starts spreading misinformation, or gathers data, like the location of shelters," Tsekhanovska said, noting how false messages have urged Ukrainians to turn off their phones at a specific time of night, citing cybersafety. Overall, extreme levels of fear in the market seems to have morphed into something more resembling concern. For example, the Cboe Volatility Index fell from its 2022 peak of 36, which it hit Monday, to around 30 on Friday, a sign of easing tensions. Meanwhile, while the price of WTI crude oil slipped from Sunday’s multiyear high $130 of barrel to $109 a pop. Markets have been expecting heavy restrictions on Russian oil, some of which the U.S. has already imposed, and that would reduce the global supply and bring about even more burdensome inflation.
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