Question

What is the value of k?

Answer 1

Answer:

k = 2

Step-by-step explanation:

ΔOLN and ΔONM are similar. Therefore the sides are in proportion:

$\dfrac{OL}{ON}=\dfrac{ON}{OM}$

We have:

OL = 8

ON = 4

OM = k

Substitute:

$\dfrac{8}{4}=\dfrac{4}{k}$                 cross multiply

$(8)(k)=(4)(4)$

$8k=16$            divide both sides by 8

$k=2$