josefaarancibia5 josefaarancibia5
  • 12-02-2019
  • Mathematics
contestada

the figures in the picture are similar to each other find the value of x

the figures in the picture are similar to each other find the value of x class=

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MsRay
MsRay MsRay
  • 12-02-2019

Answer:

x = 7

Step-by-step explanation:

Similar figures have sides that are proportional.  Setting up a proportion for the sides of the figures will help solve for 'x':

[tex]\frac{small}{large}=\frac{3}{6}=\frac{(x-3)}{(x+1)}[/tex]

Cross-multiply:  3(x + 1) = 6(x - 3)

Distribute:  3x + 3 = 6x - 18

Combine like terms:  21 = 3x

Solve for 'x':  x = 7

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