Answered

IDNLearn.com provides a seamless experience for finding and sharing answers. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.

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=

Sagot :

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.

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Thank you for choosing IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more solutions.