Question

Plz help I really don’t understand this

Answer 1

`OP=3.6`

Explanation:

Since OP is parallel to LM, the two triangles are similar, because they share all three angles. By definition, the corresponding sides of a similar polygon must be in a constant proportion.

Thus, we have:

`(6)/(6+4)=(OP)/(6),\\10\cdot OP=36,\\OP=(36)/(10)=\boxed{3.6}`