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  • 23-09-2020
  • Mathematics
contestada

Solve for 'x' Side Splitter Theorem

Solve for x Side Splitter Theorem class=

Respuesta :

jimrgrant1 jimrgrant1
  • 23-09-2020

Answer:

x = 10

Step-by-step explanation:

The segment parallel to the third side of the triangle and intersecting the other 2 sides, divides those sides proportionally, that is

[tex]\frac{2x-5}{10}[/tex] = [tex]\frac{28-8}{8}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )

8(3x - 5) = 200 ← distribute left side

24x - 40 = 200 ( add 40 to both sides )

24x = 240 ( divide both sides by 24 )

x = 10

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