A certain clock loses 15 minutes every hour. SUppose the clock is set to the correct time at 9am. What will the correct time be when the slow clock first shows 10am?

10:15

Step-by-step explanation:

By the time it takes the slow clock, starting at 9, to reach 10, it will be 15 minutes slow.

The actual time will be 10:15.

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).