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#геом_разминка

Задача. В остроугольном треугольнике 𝐴𝐵𝐶 проведены высоты 𝐵𝐷 и 𝐶𝐸. Пусть 𝐹 и 𝐺 — точки на прямой 𝐸𝐷 такие, что 𝐵𝐹 ⊥ 𝐸𝐷 и 𝐶𝐺 ⊥ 𝐸𝐷. Докажите, что 𝐸𝐹 = 𝐷𝐺.



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#геом_разминка

Задача. В остроугольном треугольнике 𝐴𝐵𝐶 проведены высоты 𝐵𝐷 и 𝐶𝐸. Пусть 𝐹 и 𝐺 — точки на прямой 𝐸𝐷 такие, что 𝐵𝐹 ⊥ 𝐸𝐷 и 𝐶𝐺 ⊥ 𝐸𝐷. Докажите, что 𝐸𝐹 = 𝐷𝐺.

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The picture was mixed overseas. Hong Kong’s Hang Seng Index fell 1.6%, under pressure from U.S. regulatory scrutiny on New York-listed Chinese companies. Stocks were more buoyant in Europe, where Frankfurt’s DAX surged 1.4%. The perpetrators use various names to carry out the investment scams. They may also impersonate or clone licensed capital market intermediaries by using the names, logos, credentials, websites and other details of the legitimate entities to promote the illegal schemes. Andrey, a Russian entrepreneur living in Brazil who, fearing retaliation, asked that NPR not use his last name, said Telegram has become one of the few places Russians can access independent news about the war. 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. The news also helped traders look past another report showing decades-high inflation and shake off some of the volatility from recent sessions. The Bureau of Labor Statistics' February Consumer Price Index (CPI) this week showed another surge in prices even before Russia escalated its attacks in Ukraine. The headline CPI — soaring 7.9% over last year — underscored the sticky inflationary pressures reverberating across the U.S. economy, with everything from groceries to rents and airline fares getting more expensive for everyday consumers.
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