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quadrilateral GHIJ is similar to quadrilateral KLMN. find tye measure of side NK

Quadrilateral GHIJ Is Similar To Quadrilateral KLMN Find Tye Measure Of Side NK class=

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ANSWER

NK = 59.11

EXPLANATION

If two figures are similar, then the ratio between corresponding sides must be constant. For these two figures, this means,

[tex]\frac{NK}{GJ}=\frac{LM}{HI}=\frac{NM}{JI}=\frac{GH}{KL}[/tex]

We know that GJ = 14, LM = 38 and HI = 9,

[tex]\frac{NK}{14}=\frac{38}{9}[/tex]

Multiply both sides by 14,

[tex]NK=14\cdot\frac{38}{9}\approx59.11[/tex]

Rounded to the nearest hundredth, the measure of side NK is 59.11.

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