Answer: x=11.67
<u>Step 1</u>
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.
<u>Step 2</u>
We can then use the equation below by cross multiplying the previous equation in step 1.
12x= 9x+35
<u>Step 3</u>
Then solve the equation to find x!
12x=9x+35
3x=35
x=11.67 (rounded to the nearest hundredth)