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1 vote
Find the value of x that makes ADEF - AXYZ.

6
2x - 5
F
22
14
IZ
12
X

Find the value of x that makes ADEF - AXYZ. 6 2x - 5 F 22 14 IZ 12 X-example-1
User Volkan Er
by
6.7k points

1 Answer

2 votes

Answer:

x = 8

Explanation:

For the triangles to be similar then the ratio of corresponding sides must be equal, that is


(DF)/(XZ) =
(EF)/(YZ) , substitute values


(2x-5)/(22) =
(6)/(12) ( cross- multiply )

12(2x - 5) = 132 ( divide both sides by 12 )

2x - 5 = 11 ( add 5 to both sides )

2x = 16 ( divide both sides by 2 )

x = 8

User DasIch
by
8.9k points

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