Verified Answer :

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! :)

isyllus

Answer:

The length of segment of OL is 22.4 cm

Option 3 is correct

Step-by-step 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,

\(\dfrac{OL}{OM}=\dfrac{PL}{NP}\)

\(\dfrac{x+4}{8}=\dfrac{14}{5}\)

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

\(5x+20=112\)

\(5x=92\)

\(x=18.4\)

OL = x+4

OL = 18.4 + 4 = 22.4 cm

Hence, The length of segment of OL is 22.4 cm

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