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

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asked Jun 25, 2022 155k views

11 votes

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

Mathematics
high-school

Benjamin Muschko asked

by Benjamin Muschko

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2 Answers

1 vote

Explanation:

If
$\triangle$ DEF~
$\triangle$ XYZ

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

According to the question

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

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

$\tt{ 9x=4.5×7}$

$\tt{ 9x=31.5 }$

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

$\tt{x=3.5 }$

Arjen Van Heck answered Jun 26, 2022

by Arjen Van Heck

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7 votes

Answer:

x = 3.5

Explanation:

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

RaveTheTadpole answered Jun 29, 2022

by RaveTheTadpole

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