shyy40 shyy40
  • 20-08-2019
  • Mathematics
contestada

If e is the midpoint of ab, c is the midpoint of ae, and ab=28 how long is ce ?

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calculista
calculista calculista
  • 30-08-2019

Answer:

ce=7 units

Step-by-step explanation:

In this problem

e is the midpoint of ab

so

ab=ae+eb  and  ae=eb

ab=2ae ------> equation A

c is the midpoint of ae

so

ae=ac+ce  and ac=ce

ae=2ce -----> equation B

substitute equation B in equation A

ab=2(2ce)

ab=4ce

we have

ab=28 units

substitute

28=4ce

solve for ce

divide by 4 both sides

28/4=ce

Rewrite

ce=7 units

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