Charlie is cleaning her closet. She decided to get throw away a third
of her shirts. She then bought 6
more. If she now has a total of 12
shirts, how many did she start
with?

9 shirts

Step-by-step explanation:

12 - 6 = 6

6/2 = 3

3 times 3 = 9

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).