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3 years ago

Please do 13 ive been trying for 3 hour pls solve x

Mathematics

1 answer:

Zepler [3.9K]3 years ago

5 0

Answer:

x = 3

Step-by-step explanation:

We should know that:

A straight segment joining the middle of two sides in a triangle is parallel to the third side and equal to half of it.

So,

3x + 1 = (1/2) * 20 = 10

3x = 10 - 1 = 9

x = 9/3 = 3

So, the value of x = 3

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3 years ago

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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.

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

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⇒ LK = JL - JK = 30 - 18 = 12

Substituting the values into the equation and solving for LN:

$\begin{aligned}\implies \dfrac{LK}{LJ} & = \dfrac{LM}{LN}\\\\\dfrac{12}{30} & = \dfrac{6}{LN}\\\\12LN & = 30 \cdot 6\\\\LN & = \dfrac{180}{12}\\\\LN & = 15\end{aligned}$

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2 years ago

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