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valina [46]
3 years ago
8

2. If GFE~GJH, find the value of FG. ​

Mathematics
1 answer:
Alex73 [517]3 years ago
5 0

Answer:

  • 77 units

Step-by-step explanation:

Given two similar triangles.

Corresponding parts of similar figures have same ratio.

<u>Use ratios to find the value of x:</u>

  • (4x - 5)/(x + 7) = 35/12.5
  • (4x - 5)/(x + 7) = 14/5
  • 5(4x - 5) = 14(x + 7)
  • 20x - 25 = 14x + 98
  • 20x - 14x = 98 + 25
  • 6x = 123
  • x = 123/6
  • x = 20.5

<u>Find the value of FG:</u>

  • FG = 4*20.5 - 5 = 77

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