Question

Not sure if I did this right Can someone help? Find the value of x.

Answer 1

6

Explanation:

Given :

⇒ The triangles are similar

⇒ The sides are in proportion

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Solving :

⇒
`(6)/(15+6) = (8)/(3x+10)`

⇒
`(6)/(21)= (8)/(3x+10)`

⇒
`(2)/(7) = (8)/(3x+10)`

⇒
`(1)/(7)=(4)/(3x+10)`

⇒ 1(3x + 10) = 7(4)

⇒ 3x + 10 = 28

⇒ 3x = 18

⇒ x = 6

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Solution :

The value of x is 6