Question 479102
C is the midpoint of line segment AE. B and D are on line segment AE so that AB=BC and CD=DE. what percent of AC is AD?


Since C is midpoint of AE, it follows that AC = CE
Since AB = BC, it follows that B is the midpoint of AC
Since CD = DE, it follows that D is the midpoint of C


If AB = x, then BC, CD, and DE also = x

Therefore, AC = AB + BC ----- AC = x + x ------ AD = 2x
Also, AD = AB + BC + CD ----- AD = x + x +x ----- AD = 3x 


Since AD = 3x, and AC = 2x, then AD is 3x/2x, or 3/2, or {{{highlight_green(150)}}}% of AC.


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