Question

I need help, I’m not sure which one is the answer

Answer 1

Given the triangles are similar, the pair of corresponding sides are proportional.

Then,

`(AB)/(ED)=(BC)/(EF)`

Knowing that:

AB = 30

ED = 5

BC = 42

EF = x

Substituting the values:

`\begin{gathered} (30)/(5)=(42)/(x) \\ 6=(42)/(x) \end{gathered}`

Multiplying both sides by x and then dividing the sides by 6.

`\begin{gathered} 6*x=(42)/(x)*x \\ 6x=42 \\ (6x)/(6)=(42)/(6) \\ x=7 \end{gathered}`

Answer: x = 7.