Data Sufficiency

The answer is E

Hi Madsport!

Statement 1 only gives us the length of AC

Statement 2 only gives the length of BD

Since there is no information about the length of BC and because we can NEVER assume that lines or figures are drawn to scale in data sufficiency questions, there is no way for us to find the length of BC and thus length of line AD.

Divide the segments into x, y, and z, three parts, we want total t

Then x + y + z = t

1. x+ y =6
2. y + z = 6

3 equattions 4 unknowns x,y,z and t, impossible to solve,
PS. we can get rid of y by subtracting the eqautions.

4. x - z = 0
We could get x = z, but when we plug into 1., we get 2 back:
z + y = 6.