In the accompanying diagram ACE, BCD, and AB || DE. if AC=2, CD=6, and CE=3, what is the length of BC.

Answer:
BC = 4
Step-by-step explanation:
The the ratio for the corresponding sides of the two triangles would be equal. Therefore:
6/x = 3/2
Cross multiply
x*3 = 2*6
3x = 12
3x/3 = 12/3
x = 4
✅BC = x = 4