FitzwilliamB402158 FitzwilliamB402158
  • 03-11-2022
  • Mathematics
contestada

Find the value of x. 14 6 / 110° 9 70

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EmericU385476 EmericU385476
  • 03-11-2022

We are given a triangle crossed by two parallel lines. The lines are parallel since their corresponding angles are the same. Therefore, from Thale's theorem we have the following relationship:

[tex]\frac{14}{6}=\frac{x}{9}[/tex]

Now we solve for "x" by multiplying by 9 on both sides of the equation:

[tex]\frac{14}{6}\times9=x[/tex]

Solving the operations we get:

[tex]21=x[/tex]

Therefore, x = 21

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