(ASAP) Consider the diagram shown. What is the value of to the nearest hundredth?

x = 9.24

Step-by-step explanation:

I'm assuming we are solving for the value of x

We can apply the geometric mean for altitude in this case:

AD = √CD*BD,

16 = √x  * 3x,

256 =3x^2,

x = 16√3/3 ≈ 9.24

You will pay $13.52 for this shirt.

Step-by-step explanation: 0.9435

Since the tax is 7.5%, you have to multiply 12.58 by 7.5% to find the amount of money paid as tax.

7.5% = 0.075

12.58 x 0.075 = 0.9435

Since we are dealing with money we have to round to the nearest hundredth -- 0.9435 = 0.94

Then to find the final cost of the shirt, we have to add 12.58 and 0.94 to get  $13.52.