Respuesta :

Answer:

The value of x is 3

Step-by-step explanation:

Here, we want to find the value of x

to do this, we apply the principle of similar triangles

That would work as follows;

4/x + 5 = 7/(2x + x + 5)

4/x + 5 = 7/3x + 5

4(3x + 5) = 7(x + 5)

12x + 20 = 7x + 35

12x - 7x = 35-20

5x = 15

x = 15/5

x = 3