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Find the value of x that makes def ~ xyz x=​

Find the value of x that makes def ~ xyz x=​
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11 votes
Find the value of x that makes def ~ xyz
x=​

Find the value of x that makes def ~ xyz x=​-example-1
User Benjamin Muschko
by
7.9k points

2 Answers

1 vote

Explanation:

If
\triangleDEF~
\triangleXYZ


\tt{(DE)/(XY)=(EF)/(ZY)=(DF)/(XZ) }

According to the question


\tt{(5)/(7.5)=(3)/(4.5)=(7)/(3x) }


\tt{(3)/(4.5)=(7)/(3x) }


\tt{ 9x=4.5×7}


\tt{ 9x=31.5 }


\tt{ x=(22.5)/(9) }


\tt{x=3.5 }

User Arjen Van Heck
by
7.9k points
7 votes

Answer:

x = 3.5

Explanation:


\triangle DEF \sim \triangle XYZ\\\\</p><p>\therefore (DE)/(XY) =(DF)/(XZ) \\\\</p><p>\therefore (5)/(7.5) =(7)/(3x) \\\\</p><p>\therefore 3x = (7.5* 7)/(5) \\\\</p><p>\therefore x = (7.5* 7)/(3* 5) \\\\</p><p>\therefore x = (52.5* 7)/(15) \\\\</p><p>\therefore x = 3.5

User RaveTheTadpole
by
8.1k points
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