hyrulegaming86
hyrulegaming86 hyrulegaming86
  • 03-10-2018
  • Mathematics
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Need Help Ive been stuck on these for days (Click to Enlarge the Picture)

Need Help Ive been stuck on these for days Click to Enlarge the Picture class=

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tramserran
tramserran tramserran
  • 03-10-2018

CF + FE = CE.  Since F is the midpoint, then CF = FE, So, CF + CF = CE ⇒ 2CF = CE

Now, set up the proportion:

[tex]\frac{BF}{CF} = \frac{AE}{CE}[/tex]

[tex]\frac{23}{CF} = \frac{5x - 4}{2CF}[/tex]    substituted known values

23(2CF) = CF(5x - 4)   cross multiplied

23(2) = 5x - 4      divided both sides by CF

46 = 5x - 4    simplified

50 = 5x         added 4 to both sides

10 = x           divided both sides by 5

Answer: 10



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