Прямі AC i BD перпендикулярні і перетинаються в точці О. Промені ОM і OK - бісектриси кутів АОВ і СОВ відповідно. Знайти кут MOK.
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Смотрите.
1) Обозначаем t — сколько времени они шли в первый день, тогда (t-1) — сколько во второй.
2) Теперь следующее соотношение — про 6 километров. Пускай в первый день они км, а во второй день — s2, тогда нам дано:
s1-s2=6.
3) Вспоминая, что расстояние=время*скорость (s=v*t), подставляем в эту формулу вместо s1 и s2:
(3,5*t)-(3*(t-1))=6.
Упрощаем:
3,5t-3t+3=6;
0,5t=3;
t=6.
ответ: Таким образом, в первый день они шли 6 часов. Во второй день — 6-1=5 (часов во второй день — 3*5 = 15 (км)
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ответ: 90°
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