y7ni2u5rr9
y7ni2u5rr9 y7ni2u5rr9
  • 22-01-2022
  • 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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HK0629
HK0629 HK0629
  • 22-01-2022
X= 10
(WORK SHOWN BELOW)
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olenahoppe olenahoppe
  • 22-01-2022

Answer:

x=10

Step-by-step explanation:

First, solve for the ratio of the two triangles:

[tex]\\ \frac{3x}{20} =\frac{4x+2}{20+8} \\ \\ (20+8)\frac{3x}{20} =4x+2\\ 28(3x)=20(4x+2)\\ 84x=80x+40\\ 84x-80x=40\\ 4x=40\\ x=10[/tex]

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