Respuesta :

Answer:

x=6

Step-by-step explanation:

Since AD and BC are parallel lines:

  • [tex]\frac{AE}{DE}=\frac{AB}{CD}[/tex]
  • [tex]\frac{16}{12}=\frac{5x+2}{24}[/tex]
  • [tex]16 \times 24 = 12 \times (5x+2)[/tex]
  • [tex]32=5x+2[/tex]
  • [tex]5x=30[/tex]
  • [tex]x=6[/tex]