OD:OB = 7:3
To find the ratio OD:OB, we can use the property of parallel lines.
Since AB is parallel to CD, we can use the intercept theorem. According to the intercept theorem, if a line is parallel to one side of a triangle and intersects the other two sides, it divides those sides proportionally.
In this case, OC intersects AB at point O and divides it into two segments: OA and OB.
Given that OC:OA = 7:3, we can conclude that OD:OB will also be in the ratio of 7:3.
Hence, the ratio OD:OB is 7:3.
