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Someone please help me! I'm very confused. The help is very much appreciated!

Someone Please Help Me Im Very Confused The Help Is Very Much Appreciated class=

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Answer:

[tex]NO\approx 15.1[/tex]

Step-by-step explanation:

In similar figures, the corresponding sides will always be proportional to each other.

We know that quadrilateral HIJK is similar to LMNO. This means that:

[tex]\displaystyle \frac{KH}{OL}=\frac{JK}{NO}[/tex]

By substitution:

[tex]\displaystyle \frac{13}{49}=\frac{4}{NO}[/tex]

Solve for NO. Cross-multiply:

[tex]13NO=196[/tex]

Therefore:

[tex]\displaystyle NO=\frac{196}{13}\approx15.1[/tex]

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