FineIMadeAnAccount FineIMadeAnAccount
  • 02-06-2018
  • Mathematics
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The two triangles are similar.

What is the value of x?

The two triangles are similar What is the value of x class=

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harpazo
harpazo harpazo
  • 02-06-2018
See picture reply. I hope this helps.
Ver imagen harpazo
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gmany
gmany gmany
  • 06-11-2018

If two triangles are similar, their sides form a proportion.

[tex]\dfrac{3x+1}{12}=\dfrac{4x}{12+3}\\\\\dfrac{3x+1}{12}=\dfrac{4x}{15}\qquad|\text{cross\ multiply}\\\\15(3x+1)=12(4x)\qquad|\text{use distributive property}\\\\(15)(3x)+(15)(1)=48x\\\\45x+15=48x\qquad|\text{subtract 45x from both sides}\\\\15=3x\qquad|\text{divide both sides by 3}\\\\5=x\to x=5[/tex]

Answer: x = 5

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