Question

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

Answer 1

Answer:

$NO\approx 15.1$

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:

$\displaystyle \frac{KH}{OL}=\frac{JK}{NO}$

By substitution:

$\displaystyle \frac{13}{49}=\frac{4}{NO}$

Solve for NO. Cross-multiply:

$13NO=196$

Therefore:

$\displaystyle NO=\frac{196}{13}\approx15.1$