Sarah was thinking of a number. Sarah doubles it, then adds 4 to get an answer of 97.7. What was the original number?

46.85

Step-by-step explanation:

let the number be n then doubling it is 2n and

2n + 4 = 97.7 ( subtract 4 from both sides )

2n = 93.7 ( divide both sides by 2 )

n = 46.85

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).