punkchick2000owmw4k
punkchick2000owmw4k punkchick2000owmw4k
  • 04-01-2018
  • Mathematics
contestada

the triangles are similar by the AA Similarly Postulate. Find the value of x.

the triangles are similar by the AA Similarly Postulate Find the value of x class=

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choixongdong
choixongdong choixongdong
  • 04-01-2018
6/8 = 9/x
6x = 72
  x = 12

answer
x = 12
Answer Link
JeanaShupp
JeanaShupp JeanaShupp
  • 13-08-2019

Answer: The value of x =12

Step-by-step explanation:

Given : The triangles are  similar by the AA Similarly Postulate.

We know that the corresponding sides of two similar triangles are proportional.

Then from the given figure , we have

[tex]\dfrac{6}{6+2}=\dfrac{9}{x}\\\\\Rightarrow\dfrac{6}{8}=\dfrac{9}{x}\\\\\Rightarrow\ x=\dfrac{9\times8}{6}\\\\\Rightarrow\ x=12[/tex]

Hence, the value of x =12

Answer Link

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