If B is the midpoint of line AC, AC=CD, AB=3x+4, AC=11x-17, and CE=49, find DE

Mathematics

1 answer:

vekshin12 years ago

5 0

Answer:

DE=11 UNITS

Step-by-step explanation:

Given AC=CD

And AC=2AB as B is the mid point of AC

Hence 2(3x+4)=11x-17

6x+8=11x-17

11x-6x=17+8

5x=25

x=5

Hence AC=11(5)-17= 55-17=38

AC =CD = 38

CE = 49

Hence DE = CE-CD= 49-38 = 11

units

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