Find the value of x. If your answer is not an integer express it in simplest radical form.

Step-by-step explanation:

To find the value of x, using Pythagorean theorem.

7) x² = 12² + 12²

        = 144 + 144

       = 288

x     = √2*12*12

x = 12√2

8) x² + 9² = 18²

x² + 81 = 324

x² = 324 - 81

x² = 243

x = √3*9*9

x = 9√3

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

i think the answer is c sorry if it's wrong