Respuesta :

mhanifa

Answer:

  • Scale factor = 1/2 and x = 18

Step-by-step explanation:

Given:

  • ΔABC ~ ΔDEF
  • AB = 36. BC = 30
  • DE = x, EF = 15
  • m∠B = m∠E = 72°

Corresponding sides are:

  • AB and DE
  • BC and EF

Corresponding sides have same ratio:

  • AB/DE = BC/EF
  • 36/x = 30/15
  • x = 36/2
  • x = 18

The scale factor is:

  • DE/AB = 36/18 = 1/2

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