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evablogger [386]
3 years ago
15

HELP DUE IN 10 MINS! Find the scale factor. Solve for x. Scale Factor=?? x=??

Mathematics
1 answer:
stepladder [879]3 years ago
4 0

Answer:

  • Scale factor = 1/2 and x = 18

Step-by-step explanation:

<u>Given:</u>

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

<u>Corresponding sides are:</u>

  • AB and DE
  • BC and EF

<u>Corresponding sides have same ratio:</u>

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

<u>The scale factor is:</u>

  • DE/AB = 36/18 = 1/2
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