What is the value of x ?

19

Step-by-step explanation:

When you have a straight line with a transversal, the two angles are equal to 180 degrees

180=123+3x ---> subtract 123 to the other side

57=3x ---> divide by 3

x=57/3

x=19

three-fourths of an hour

36÷48=0.75

0.75=

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).