Questions: le factor that makes the ratios of the corresponding sides

le factor that makes the ratios of the corresponding sides
Transcript text: le factor that makes the ratios of the corresponding sides
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Solution

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Solution Steps

Step 1: Identify corresponding sides

The corresponding sides are:

  • D'E' and DE
  • D'F' and DF
  • E'G' and EG
  • F'G' and FG
Step 2: Set up the ratios

The ratios of corresponding sides are:

  • D'E'/DE = x/15
  • D'F'/DF = 8/5
  • E'G'/EG = 8/5
  • F'G'/FG = 8/5
Step 3: Solve for x

Since the ratios of corresponding sides must be equal, we can set up the following proportion: x/15 = 8/5 Cross-multiply: 5x = 15 * 8 5x = 120 x = 120/5 x = 24

Final Answer:

The scale factor is 24/15 which simplifies to 8/5 or 1.6.

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