Respuesta :

Answer:

See below ~

Step-by-step explanation:

Given :

QRSTU ~ FGCDE

Finding the scale factor :

  • Take two corresponding sides in proportion
  • RS : GC
  • 40 : 12
  • 10 : 3

Applying the scale factor to find the missing sides :

- FG :

  • QR : FG = 10 : 3
  • 30/FG = 10/3
  • FG = 30/10 x  3
  • FG = 3 x 3
  • FG = 9

- CD :

  • ST : CD = 10 : 3
  • 40/CD = 10/3
  • CD = 40/10 x 3
  • CD = 4 x 3
  • CD = 12

- EF :

  • UQ : EF = 10 : 3
  • 30/EF = 10/3
  • EF = 30/10 x 3
  • EF = 3 x 3
  • EF = 9
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Answer:

FG = 9

CD = 12

EF = 9

Explanation:

Given:

  • QRSTU ≅ FGCDE

Proportional Sides:

  • GC = 12, RS = 40

Find Scale Factor:

  • 12/40 = 0.3

Find Missing Sides:

1) FG = QR × 0.3 = 30 × 0.3 = 9

2) CD = ST × 0.3 = 40 × 0.3 = 12

3) EF = UQ × 0.3 = 30 × 0.3 = 9

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