Answer: x=11.67
Step 1
Use the following equation to find x. We can use this equation because Triangle 1 (triangle within triangle ABC) and Triangle 2 (triangle ABC) are proportional and we can use the system of equations below to create and equation.
[tex]\frac{x}{9}=\frac{x+5}{12}[/tex]
Step 2
We can then use the equation below by cross multiplying the previous equation in step 1.
12x= 9x+35
Step 3
Then solve the equation to find x!
12x=9x+35
3x=35
x=11.67 (rounded to the nearest hundredth)
