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MrEquation
Answer: The proportion that can be written is 9 over 1.5 equals 12 over 2.

If you look in the diagram, you will see that they 1.5 is right below the 9 and the 2 is right below the 12.

If you put those values in a proportion, you can cross multiply and divide to see that they are in proportion. Since they are in proportion, the two lines are also parallel.

the proportional segments for the given diagram is

[tex]\frac{9}{1.5} =\frac{12}{2}[/tex]

Given:

In the given diagram , QS is parallel to MN

when a line that intersects two sides of the triangle is parallel to third side then the sides are in proportion

From the given the sides are in proportion

[tex]\frac{RM}{MQ} =\frac{RN}{NS} \\\frac{9}{1.5} =\frac{12}{2}[/tex]

so the answer for the given diagram is

[tex]\frac{9}{1.5} =\frac{12}{2}[/tex]

learn more :  brainly.com/question/14680007

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