Question

What is the length of segment ol?

Answer 1

Ok, so to do this problem you have to set up a proportion. You are given x+4, 14, 8, and 5. The proportion is as follows:

X+4 8
----- = ---- Now cross multiply to get 5x+20=112. 112-20= 92, and
14 5 92/5= 18.4. Your answer is A, 18.4 cm.


Hope this helps! :)

Answer 2

The length of segment of OL is 22.4 cm

Option 3 is correct

Explanation:

In ΔMNL, NM||PO

If two sides are parallel then their corresponding sides are in ratio.

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 same ratio.

Therefore,

`(OL)/(OM)=(PL)/(NP)`

`(x+4)/(8)=(14)/(5)`

`5(x+4)=14\cdot 8`

`5x+20=112`

`5x=92`

`x=18.4`

OL = x+4

OL = 18.4 + 4 = 22.4 cm

Hence, The length of segment of OL is 22.4 cm