SOLUTION: http://i.imgur.com/fA1v6fX.jpg In the xy-plane above, line l and m are parallel and intersect the x-axis at x=a and x=b respectively. if a+b=8, what is the value of a ? A) 1.5 B

Algebra ->  Functions -> SOLUTION: http://i.imgur.com/fA1v6fX.jpg In the xy-plane above, line l and m are parallel and intersect the x-axis at x=a and x=b respectively. if a+b=8, what is the value of a ? A) 1.5 B      Log On


   

Question 1043406: http://i.imgur.com/fA1v6fX.jpg
In the xy-plane above, line l and m are parallel and intersect the x-axis at x=a and x=b respectively. if a+b=8, what is the value of a ?
A) 1.5
B) 2
C) 2.5
D) 3
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
By similarity of triangles, a%2F1+=+b%2F3.
===> b = 3a ===> a + b = a + 3a = 4a = 8 ===> a = 2.