Question

PLEASE HELP!!!! solve for x.​

Answer 1

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.

$\frac{x}{9}=\frac{x+5}{12}$

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)