There were 3 times as many boys as girls in a museum. After 75 boys left and 25 girls entered, there were 2 times as many girls as boys. If 90 children remained, how many children were in the museum at first? *

3x=y

3x-y=0

(y-75)+(X+25)=90

X+y=90+50

X+y=140

3x-y+X+y=0+140

4x=140

X=35(girls)

y=105(boys)

children were in the museum at first? *=35+105

=140

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).