SOLUTION: assume that point d is a midpoint of ab. find x and each segment length. ad = 2x - 1, ab = 6x - 20.

Algebra ->  Geometry-proofs -> SOLUTION: assume that point d is a midpoint of ab. find x and each segment length. ad = 2x - 1, ab = 6x - 20.      Log On


   

Question 1065417: assume that point d is a midpoint of ab. find x and each segment length. ad = 2x - 1, ab = 6x - 20.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
assume that point d is a midpoint of ab.
find x and each segment length. ad = 2x - 1, ab = 6x - 20.
:
a---------------d----------------b
:
d is the mid-point, therefore:
ad = 1%2F2ab
multiply both sides by 2
2ad = ab
replace ad with (2x-1); replace ab with (6x-20)
2(2x-1) = 6x - 20
4x - 2 = 6x - 20
-2 + 20 = 6x - 4x
18 = 2x
x = 18/2
x = 9
Therefore
ad = 2(9) - 1
ad = 17
and
ab = 6(9) - 20
ab = 54 - 20
ab = 34 (twice as long as ad)