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If BCD ~ GEF, find BD​

If BCD ~ GEF, find BD​-example-1
User RFV
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1 Answer

5 votes

Answer:

19

Explanation:

if the triangles are similar then EG/BC = FG/BD

51/(x+4) = 57/(2x-7) cross multiply expressions

102x - 357 = 57x + 228

102x - 57x = 228 + 357

45x = 585 divide both sides by 45

x = 13

BD = 2x -7 and 13×2 - 7 = 19

User Breno Teixeira
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3.3k points