Question

Triangle ABC is similar to triangle DEF. what is the value of x ? Pic attached :) thank you.

Answer 1

x=6 and 2/3 
the proportion is also 3:5

Answer 2

Given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.

What are Similar Triangles?

If two triangles are similar, it means they have the same shape but different sides, and therefore, the ratio of their corresponding sides are equal.

Thus:

BC/EF = AC/DF

• Substitute

8/2x = 3/5

• Cross multiply

40 = 6x

• Divide both sides by 6

x = 6⅔.

In summary, given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.

Learn more about similar triangles on:

https://brainly.com/question/2644832