1. Hearing the voice of a comrade, I left the room to meet him. 2. Having read the book, boy returned it to the library. 3. I learned that the owner sold her only child. sneak into Canada. 4. Be careful when crossing the street. 5. Leaving things in the wardrobe, you get number. 6. Felt that Kerry was worried, Druet went backstage to cheer her up. 7. The boy having lost parents, he was placed in an orphanage. 8. Returning with guests from the hunt, Cyril Dubrovsky grabbed about him. 9. Pacing heavy He glanced out the window and stopped at the three. 10. "Hello, Mademoiselle Mescherskaya," she said in French, she does not look up from her knitting. 11. Words that I spoke about this in advance. 12. She someone is moaning. 13. He looked at a boy sitting on a chair in garden. 14. He quietly dozed off, sitting in a chair under a tree. 15. After kissing the children, she went to work. 16. Molly, ironing clothes in the living room, had already gone down to the kitchen. 17. Looking down, he saw his son with friends. 18. They are talking.
AK=3.
Объяснение:
Українською
1. Використаємо узагальнену теорему Фалеса про пропорційні відрізки.
MK||BE||CD(з умови) Тоді:
AM/MB = AK/KE.
Оскільки з умови задачі сказано, що M - середина сторони AB, то AM=MB.
Звідси випливає, що AK = KE.
2. Доведемо, що фігура BCDE - паралелограм.
BC||ED(якщо прямі паралельні(як основи трапеції) то і відрізки, які належать прямим також паралельні)
BE||CD(умова). BCDE - паралелограм(за ознакою).
BC = DE = 20(за властивістю паралелограма)
3. AD = 2*AK+ED
AK = (AD-ED)/2 = (26-20)/2 = 3.
На русском
1. Используем обобщенную теорему Фалеса о пропорциональных отрезках.
MK||BE||CD(из условия) Тогда:
AM/MB = АК/КЕ.
Поскольку из условия задачи сказано, что M – середина стороны AB, то AM=MB.
Отсюда следует, что AK=KE.
2. Докажем, что фигура BCDE – параллелограмм.
BC||ED(если прямые параллельные(как основания трапеции) то и отрезки, принадлежащие прямым также параллельные)
BE||CD(условие). BCDE – параллелограмм(по признаку).
BC = DE = 20(по свойству параллелограмма)
3. AD = 2*AK+ED
AK=(AD-ED)/2=(26-20)/2=3.
returned it to the library. 3. I learned that the owner sold her only child.
sneak into Canada. 4. Be careful when crossing the street. 5. Leaving things in the wardrobe, you get
number. 6. Felt that Kerry was worried, Druet went backstage to cheer her up. 7. The boy
having lost parents, he was placed in an orphanage. 8. Returning with guests from the hunt, Cyril
Dubrovsky grabbed about him. 9. Pacing heavy
He glanced out the window and stopped at the three.
10. "Hello, Mademoiselle Mescherskaya," she said in French, she does not look up from her knitting.
11. Words that I spoke about this in advance. 12. She
someone is moaning. 13. He looked at a boy sitting on a chair in
garden. 14. He quietly dozed off, sitting in a chair under a tree. 15. After kissing the children, she went to work.
16. Molly, ironing clothes in the living room, had already gone down to the kitchen. 17. Looking down, he saw his
son with friends. 18. They are talking.