TeuilaK718572 TeuilaK718572
  • 25-10-2022
  • Mathematics
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Given lines l, m and n are all parallel and cut by two transversal lines, find the value of 2. 2 12 6. т х 33 n

Given lines l m and n are all parallel and cut by two transversal lines find the value of 2 2 12 6 т х 33 n class=

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KimberleyZ437969 KimberleyZ437969
  • 25-10-2022

Answer:

66

Explanation:

By the Thales theorem, if we have the following figure:

Then, the following equation applies:

[tex]\frac{a}{c}=\frac{b}{d}[/tex]

So, in this case, we can formulate the following equation:

[tex]\frac{6}{12}=\frac{33}{x}[/tex]

Then, solving for x, we get:

[tex]\begin{gathered} 6\cdot x=33\cdot12 \\ 6x=396 \\ \frac{6x}{6}=\frac{396}{6} \\ x=66 \end{gathered}[/tex]

Therefore, the value of x is 66.

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