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melomori [17]
3 years ago
15

I need help solving this equation

Mathematics
2 answers:
alexandr1967 [171]3 years ago
8 0

Answer:

LMN is similar to MKN and LMN is similar to LKM.

Step-by-step explanation:

:)

Elis [28]3 years ago
3 0

Triangle LMN is similar to Triangle MKN.

If we look at the smaller triangle created by the line from angle M, we can see that if we flip the smaller triangle so angles M and L would match up, the triangles are similar.

Triangle LMN is similar to Triangle LKM.

If we look at the entire triangle as a whole, we can see that is is a right triangle as well. As long as we remember to match up the angles, we can say that the triangles are similar.

Hope this helps!! :)

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Points P and Q belong to segment AB . If AB = a, AP = 2PQ = 2QB, find the distance: midpoints between AP QB
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Answer: The distace between midpoints of AP and QB is \frac{a}{8}.

Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:

AP + PQ + QB = a

According to the question, AP = 2 PQ = 2QB, so:

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Substituing:

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Since the distance is between midpoints of AP and QB:

2QB = AP

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MIdpoint is the point that divides the segment in half, so:

<u>Midpoint of AP</u>:

\frac{AP}{2} = \frac{a}{2}*\frac{1}{2}

\frac{AP}{2} = \frac{a}{4}

<u>Midpoint of QB</u>:

\frac{QB}{2} = \frac{a}{4}*\frac{1}{2}

\frac{QB}{2} = \frac{a}{8}

The distance is:

d = \frac{a}{4} - \frac{a}{8}

d = \frac{a}{8}

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