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aliya0001 [1]
3 years ago
8

What is the value of k?

Mathematics
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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