Question

Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of side NK.

Figures are not drawn to scale.

Answer 1

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Answer 2

Answer:
NK = 14.4

Explanation:

Given the following question:

We know that the two sides are similar
JI = 3, NM = 7.2

The scale factor is 2.4 since....


`3*2.4=7.2`

Knowing the two sides are similar and if we multiply JI by 2.4, we get NM we can easily do the same for JG and NK.

JG = 6

`6*2.4=14.4`

`=14.4`

NK = 14.4

Hope this helps.