Question

the two triangles are similar. what is the value of x? (will send a picture of the triangles for more details)

Answer 1

Since the triangles are similar, then the ratio of their corresponding sides are equal.

Thus,

`(2x-2)/(3x)=(8)/(8+6)=(8)/(14)=(4)/(7)`

Cross-multiplying, we have:

`\begin{gathered} 7(2x-2)=4(3x) \\ \Rightarrow14x-14=12x \\ \Rightarrow14x-12x=14 \\ 2x=14 \\ \Rightarrow x=(14)/(2)=7 \end{gathered}`

That is

x = 7