Enzo and Beatrice are playing games at their local arcade incredibly ends wins five tickets from every game in the trees wins 11 tickets from every game when they stop playing games Enzo in the trees had won the same number of total tickets what is the minimum number of games that Enzo could have played

22 games

Step-by-step explanation:

In order to find the minimum number of games that Enzo played we need to find the least common multiple of tickets where both Enzo and Beatrice are equal. To do this we simply find all the multiples of the number of games each could have played by the number of tickets per game until we find one in common.

5*1 = 5                   11*1 = 11

5*2 = 10                 11*2 = 22

5*3 = 15                  11*3 = 33

5*4 = 20                 11*4 = 44

5*5 = 25                 11*5 = 55

...                             ...

...                             ...

...                             ...

5*22 = 110               11*10 = 110

Finally, we can see that the minimum amount of games that Enzo needs to play in order for both Enzo and Beatrice to have the same amount of tickets is 22 games.

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).