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Helllpppp): please !!

Helllpppp): please !!-example-1

2 Answers

2 votes

Answer:

Answer is x=4

Explanation:


given \: that \: def \: is \: similar \: to \: xyz \\ by \: similarity \: theorem \\ (de)/(xy) = (ef)/(yz) = (df)/(xz) \\ \\ (5)/(10) = (2x - 1)/(14) = (11)/(5x + 2) \\ (1)/(2) = (2x - 1)/(14) = (11)/(5x + 2) \\ therefore \\ (1)/(2) = (2x - 1)/(14 ) \\ 2x - 1 = 7 \\ 2x = 8 \\ x = 4

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User BjoernD
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6 votes

Answer:

x = 4

Explanation:

If the triangles are similar then the ratios of corresponding sides must be equal, that is


(EF)/(YZ) =
(DE)/(XY) , substitute values


(2x-1)/(14) =
(5)/(10) ( cross- multiply )

10(2x - 1) = 70 ← distribute left side

20x - 10 = 70 ( add 10 to both sides )

20x = 80 ( divide both sides by 20 )

x = 4

User Defne
by
5.2k points