Контрольные задания > No 5. Point E is inside segment AB. Find segments AE and EB if AE is 4 cm longer than EB and segment AB = 20 cm.
Вопрос:

No 5. Point E is inside segment AB. Find segments AE and EB if AE is 4 cm longer than EB and segment AB = 20 cm.

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Ответ:

  • Let the length of EB be x cm. Then the length of AE is (x + 4) cm.
  • The sum of AE and EB is the length of AB, so (x + 4) + x = 20.
  • 2x + 4 = 20
  • 2x = 16
  • x = 8
  • Therefore, EB = 8 cm and AE = 8 + 4 = 12 cm.

Answer: AE = 12 cm, EB = 8 cm

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