Question

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

Answer 1

`NO\approx 15.1`

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 (KH)/(OL)=(JK)/(NO)`

By substitution:

`\displaystyle (13)/(49)=(4)/(NO)`

Solve for NO. Cross-multiply:

`13NO=196`

Therefore:

`\displaystyle NO=(196)/(13)\approx15.1`