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WHO ANSWERS THE QUESTION WELL WILL BE MARKS AS BRAINLIEST !!!!!! Explain how to find the value of y that would make segment OP parallel to segment LN.

WHO ANSWERS THE QUESTION WELL WILL BE MARKS AS BRAINLIEST Explain how to find the value of y that would make segment OP parallel to segment LN class=

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ujalakhan18

Answer:

y = 36

Step-by-step explanation:

For proving two parallel lines in a triangle, we will take the proportionality of their sides, such that

[tex]\frac{28}{14} = \frac{y}{18}[/tex]

Cross- Multiplying

18 × 28 = y × 14

14y = 504

Dividing both sides by 14

y = 36

So, y = 36 would prove that Segment OP is parallel to segmant LN

Answer:

y = 36

Step-by-step explanation:

If OP were parallel to LN then OP divides the sides proportionally, thus

[tex]\frac{MP}{PN}[/tex] = [tex]\frac{MO}{OL}[/tex] , substitute values

[tex]\frac{y}{18}[/tex] = [tex]\frac{28}{14}[/tex] = 2 ( multiply both sides by 18 )

y = 36

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