Задача 59: Автор - Пётр Ким Источник - Южный Математический Турнир 2024
В треугольнике ABC w - вписанная окружность. B-полувписанная окружность пересекает C-полувписанную окружность в точке X. Оказалось, что X лежит вне w. Из X провели касательные k и l к w. Доказать, что существует окружность, касающаяся k и l и проходящая через B и C.
Задача 59: Автор - Пётр Ким Источник - Южный Математический Турнир 2024
В треугольнике ABC w - вписанная окружность. B-полувписанная окружность пересекает C-полувписанную окружность в точке X. Оказалось, что X лежит вне w. Из X провели касательные k и l к w. Доказать, что существует окружность, касающаяся k и l и проходящая через B и C.
Stocks closed in the red Friday as investors weighed upbeat remarks from Russian President Vladimir Putin about diplomatic discussions with Ukraine against a weaker-than-expected print on U.S. consumer sentiment. "We're seeing really dramatic moves, and it's all really tied to Ukraine right now, and in a secondary way, in terms of interest rates," Octavio Marenzi, CEO of Opimas, told Yahoo Finance Live on Thursday. "This war in Ukraine is going to give the Fed the ammunition, the cover that it needs, to not raise interest rates too quickly. And I think Jay Powell is a very tepid sort of inflation fighter and he's not going to do as much as he needs to do to get that under control. And this seems like an excuse to kick the can further down the road still and not do too much too soon." Following this, Sebi, in an order passed in January 2022, established that the administrators of a Telegram channel having a large subscriber base enticed the subscribers to act upon recommendations that were circulated by those administrators on the channel, leading to significant price and volume impact in various scrips. The Dow Jones Industrial Average fell 230 points, or 0.7%. Meanwhile, the S&P 500 and the Nasdaq Composite dropped 1.3% and 2.2%, respectively. All three indexes began the day with gains before selling off. False news often spreads via public groups, or chats, with potentially fatal effects.
from ms
