Question

using the provided image, what is the ratio of nm to ml?
0.667
0.832
0.555
1.500

Explanation:

Step1: Identify similar triangles

Triangles \( \triangle LMN\) and \( \triangle DEF\) are similar (by AA similarity, as they have right angles and equal marked angles).

Step2: Use ratio of corresponding sides

In similar triangles, the ratio of corresponding sides is equal. The ratio \( \frac{NM}{ML}\) in \( \triangle LMN\) is the same as \( \frac{EF}{DE}\) in \( \triangle DEF\) (since \( NM\) corresponds to \( EF\) and \( ML\) corresponds to \( DE\)).
Given \( \frac{EF}{DE}=0.667\), so \( \frac{NM}{ML}=0.667\).

Answer:

0.667