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3 years ago

8

What is the value of k?

1 answer:

liraira [26]3 years ago

6 0

Answer:

<h2>k = 2</h2>

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:

$\dfrac{8}{4}=\dfrac{4}{k}$ <em>cross multiply</em>

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

$8k=16$ <em>divide both sides by 8</em>

$k=2$

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