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Vlada [557]
2 years ago
15

NO LINKS!!!QRSTU ~ FGCDE. Find FG, CD, and EF. ​

Mathematics
2 answers:
Sladkaya [172]2 years ago
8 0

Answer:

FG = 9

CD = 12

EF = 9

Explanation:

<u>Given</u>:

  • QRSTU ≅ FGCDE

<u>Proportional Sides</u>:

  • GC = 12, RS = 40

<u>Find Scale Factor</u>:

  • 12/40 = 0.3

<u>Find Missing Sides</u>:

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

arsen [322]2 years ago
4 0

Answer:

See below ~

Step-by-step explanation:

Given :

<u>QRSTU ~ FGCDE</u>

Finding the scale factor :

  • Take two corresponding sides in proportion
  • RS : GC
  • 40 : 12
  • <u>10 : 3</u>

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
  • <u>FG = 9</u>

- CD :

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

- EF :

  • UQ : EF = 10 : 3
  • 30/EF = 10/3
  • EF = 30/10 x 3
  • EF = 3 x 3
  • <u>EF = 9</u>
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