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3 years ago

Write the sum of the numbers as the product of their greatest common factor and another sum.

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

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2 years ago

If JL = 30, JK = 18, and LM = 6, then the value of LN is:

harina [27]

Answer:

LN = 15

Step-by-step explanation:

The arrows on the line segments indicate they are parallel.

$\implies \overline{KM} \parallel \overline{JN}$

Triangle Proportionality Theorem

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then it divides these two sides proportionally.

$\textsf{If }\overline{KM} \parallel \overline{JN}, \textsf{ then }\dfrac{LK}{LJ}=\dfrac{LM}{LN}$

Given:

LM = 6
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Substituting the values into the equation and solving for LN:

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