The value of x that makes triangle DEF similar to triangle XYZ is 6
How to determine the value of x that makes triangle DEF similar to triangle XYZ
From the question, we have the following parameters that can be used in our computation:
The triangles
The triangle DEF similar to triangle XYZ
So, we have
3(x - 1)/8 = 7.5/4
This gives
3(x - 1) = 8 * 7.5/4
So, we have
3(x - 1) = 15
Divide both sides by 3
x - 1 = 5
Add 1 to both sides
x = 6
Hence, the value of x is 6