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If ABCD is similar to EFGH, find the value of x, y, and z. Show all work.

If ABCD is similar to EFGH, find the value of x, y, and z. Show all work.-example-1

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ABCD\sim EFGH;\ k_1=(2)/(4)=(1)/(2)\\\\x=2\cdot(1)/(2)=1\\\\EFGH\sim ABCD;\ k_2=(4)/(2)=2\\\\y=7\cdot2=14\\z=3\cdot2=6\\\\Answer:\boxed{x=1;\ y=14;\ z=6}
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