Respuesta :

mhanifa

Answer:

  • x = 40.375

Step-by-step explanation:

∠A≅∠E, ∠B≅∠F and ∠C is common and congruent to itself, therefore

  • ΔABC  ~ ΔEFC by AA similarity

Ratio of corresponding sides is same. Get the equation below and solve for x:

  • EC/AC = CF/CB
  • x/17 = (16+22)/16
  • x/17 = 38/16
  • x/17 = 19/8
  • x = 17*19/8
  • x = 40.375

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