onewaydemon onewaydemon
  • 02-02-2019
  • Mathematics
contestada

What is the value of k?

What is the value of k class=

Respuesta :

gmany
gmany gmany
  • 02-02-2019

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]

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