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Amiraneli [1.4K]
2 years ago
11

Plz help me Find LM.

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
3 0

Because LP and NP are the same measure, that means that MP is a bisector. It bisects side LN and it also bisects angle LMN. Where MP meets LN creates right angles. What we have then thus far is that angle LMP is congruent to angle NMP and that angle LPM is congruent to angle NPM and of course MP is congruent to itself by the reflexive property. Therefore, triangle LPM is congruent to triangle NMP and side LM is congruent to side NM by CPCTC. Side LM measures 11.

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Answer:

Step-by-step explanation:

Two lines are perpendicular if the first line has a slope of m and the second line has a slope of \frac{1}{-m}.

With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:

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We now know that m = \frac{5}{2} for the first line, which means that the slope of the second line is m = \frac{-2}{5}. With this, we have the following equation for our new line:

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where C is the Y-intercept that we now need to determine with the coordinates given in the problem statement, (5, -4):

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Finally, we can create our line:

y = \frac{-2}{5}x - 2

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