Bc parallel to de. bc = 6, de = 9 which of the following could be the lengths of ab and bd respectively?
2 and 3
3 and 4.5
4 and 2
4 and 8

Lengths of AB and BD could be 4 and 2.

Step-by-step explanation:

By using Basic Proportionality Theorem -  If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.

so we can say,

take resiprocal of both sides

subtract 1 form both sides

we get,

take resiprocal of both sides

Thus, lengths of AB and BD could be 4 and 2.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,