Question

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

Explanation:

Step1: Identify similar triangles

Triangles \( \triangle MLN\) and \( \triangle DEF\) are similar (by AA similarity as they have right angles and equal non - right angles).

Step2: Use the property of similar triangles

For similar triangles, the ratios of corresponding sides are equal.
The ratio \( \frac{ML}{NL}\) is equivalent to the ratio \( \frac{EF}{DE}\) (corresponding sides of similar triangles).
Since \( \frac{EF}{DE}=0.667\), so \( \frac{ML}{NL}=0.667\).

Answer:

0.667