Answer:
k = 2
Step-by-step explanation:
ΔOLN and ΔONM are similar. Therefore the sides are in proportion:
[tex]\dfrac{OL}{ON}=\dfrac{ON}{OM}[/tex]
We have:
OL = 8
ON = 4
OM = k
Substitute:
[tex]\dfrac{8}{4}=\dfrac{4}{k}[/tex] cross multiply
[tex](8)(k)=(4)(4)[/tex]
[tex]8k=16[/tex] divide both sides by 8
[tex]k=2[/tex]
