Answer:
x = 6
Step-by-step explanation:
For this, we simply can use similar triangles to build proportions to find the value of x.
The base of one triangle is 4 with a hypotenuse of x.
The base of the second triangle is x with a hypotenuse of 4+5.
Hence, we can build this proportion:
x/9 = 4/x
Now we solve for x in this proportion:
x/9 = 4/x
x * x = 9 * 4
x^2 = 36
x = 6
Now we know the value of x=6.
Cheers.
