Question

using the provided image, what is $\frac{ml}{nm}$? 0.667 1.500 0.832 0.555

Explanation:

Step1: Analyze similar triangles

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

Step2: Use the property of similar triangles

For similar triangles, the ratios of corresponding sides are equal. \(\frac{ML}{NM}=\frac{EF}{DE}\) (corresponding side ratios).

Step3: Substitute the given value

Since \(\frac{EF}{DE} = 0.667\), then \(\frac{ML}{NM}=0.667\)

Answer:

A. 0.667