Answer:
The answer to your question is x = 19/2 = 9.5
Step-by-step explanation:
Use proportions to solve this problem
1.- Big triangle
[tex]\frac{(x + 3) + (x - 2)}{5 + 3}[/tex]
2.- Small triangle
[tex]\frac{x - 2}{3}[/tex]
3.- Equal both equations
[tex]\frac{(x+ 3) + (x - 2)}{5 + 3} = \frac{x - 2}{3}[/tex]
4.- Simplify
3[(x + 3) + (x - 2)] = 8(x - 2)
3x + 9 + 3x - 6 = 8x - 16
6x + 3 = 8x - 16
6x - 8x = - 16 - 3
-2x = - 19
x = 19/2
