Mindy and troy ate total of 9 pieces of the wedding cake. mindy ate 3 pieces and troy ate 1/4 of the total cake. write an equation to determine how many pieces of cakes (c) were in total.

I. x + y = 9

II. x = 3

III. y/c = 1/4 --> y = 1/4*c

II and III in I

3 + 1/4*c = 9 --> c = 24

7

step-by-step explanation:

the answer would be 7

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).