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VladimirAG [237]
4 years ago
7

The points B, C, D and E all lie on the same line segment, in that order, such that the ratio of B C : C D : D E BC:CD:DE is equ

al to 1 : 6 : 2. 1:6:2. If B E = 45 , BE=45, find D E . DE.
Mathematics
1 answer:
Anastasy [175]4 years ago
8 0

Answer:

  • DE = 10

Step-by-step explanation:

<h3>Given</h3>
  • B C : C D : D E  = 1 : 6 : 2
  • BE = 45
  • DE = ?
<h3>Solution</h3>
  • BC = x, CD = 6x, DE = 2x
  • BE = BC + CD + DE
  • x + 6x + 2x = 45
  • 9x = 45
  • x = 5
  • DE = 2x = 2* 5 = 10
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