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What is the value of k?

What is the value of k?-example-1
User Ryenski
by
6.1k points

1 Answer

4 votes

Answer:

k = 2

Explanation:

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


(OL)/(ON)=(ON)/(OM)

We have:

OL = 8

ON = 4

OM = k

Substitute:


(8)/(4)=(4)/(k) cross multiply


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


8k=16 divide both sides by 8


k=2

User Elmiomar
by
6.3k points