pennastra pennastra
  • 20-12-2018
  • Mathematics
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These triangles are similar. find Y and X

These triangles are similar find Y and X class=

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gmany
gmany gmany
  • 24-12-2018

It these triangles are similar, then the sides of the triangles are in proportion:

[tex]\dfrac{y}{10}=\dfrac{y+4}{15}[/tex]      cross multiply

[tex]15y=10(y+4)[/tex]    use distributive property

[tex]15y=10y+40[/tex]       subtract 10y from both sides

[tex]5y=40[/tex]           divide both sides by 5

[tex]\boxed{y=8}[/tex]


[tex]\dfrac{x}{4}=\dfrac{6}{8}[/tex]            cross multiply

[tex]8x=(4)(6)[/tex]

[tex]8x=24[/tex]           divide both sides by 8

[tex]\boxed{x=3}[/tex]

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