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Задача. На медиане 𝐴𝑀 остроугольного неравнобедренного треугольника 𝐴𝐵𝐶 отмечена точка 𝑃 так, что ∠𝑁𝑃𝐶 = ∠𝑀𝑃𝐶, где 𝑁 — середина стороны 𝐴𝐶. Прямая 𝑁𝑃 пересекает прямую, проходящую через точку 𝐵 параллельно 𝐶𝑃, в точке 𝐷. Докажите, что 𝐴𝐷 = 𝐴𝐵.
Задача. На медиане 𝐴𝑀 остроугольного неравнобедренного треугольника 𝐴𝐵𝐶 отмечена точка 𝑃 так, что ∠𝑁𝑃𝐶 = ∠𝑀𝑃𝐶, где 𝑁 — середина стороны 𝐴𝐶. Прямая 𝑁𝑃 пересекает прямую, проходящую через точку 𝐵 параллельно 𝐶𝑃, в точке 𝐷. Докажите, что 𝐴𝐷 = 𝐴𝐵.
The next bit isn’t clear, but Durov reportedly claimed that his resignation, dated March 21st, was an April Fools’ prank. TechCrunch implies that it was a matter of principle, but it’s hard to be clear on the wheres, whos and whys. Similarly, on April 17th, the Moscow Times quoted Durov as saying that he quit the company after being pressured to reveal account details about Ukrainians protesting the then-president Viktor Yanukovych. "Like the bombing of the maternity ward in Mariupol," he said, "Even before it hits the news, you see the videos on the Telegram channels." Although some channels have been removed, the curation process is considered opaque and insufficient by analysts. Friday’s performance was part of a larger shift. For the week, the Dow, S&P 500 and Nasdaq fell 2%, 2.9%, and 3.5%, respectively. As a result, the pandemic saw many newcomers to Telegram, including prominent anti-vaccine activists who used the app's hands-off approach to share false information on shots, a study from the Institute for Strategic Dialogue shows.
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