ApandaLilly
ApandaLilly ApandaLilly
  • 16-03-2021
  • Mathematics
contestada

Solve for x using the diagram. (Simply your answer)

Solve for x using the diagram Simply your answer class=

Respuesta :

cairde
cairde cairde
  • 16-03-2021

Answer:

x=6

Step-by-step explanation:

The two triangles shown are similar (AAA: they share the angle on the right and the two other angles are corresponding and therefore equal).

Since, they're similar, the sides are in ratio to eachother:

[tex]\frac{x+(x+3)}{8+12} = \frac{x+3}{12}[/tex]

12(2x+3)=20(x+3)

24x+36=20x+60

4x=24

x=6

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