What is the value of x?

screenshot below

25

Step-by-step explanation:

Since the triangle is equilateral, all the sides have the same measures.

You can set any two sides equal to each other, and solve for x.

4x-30 = 2x + 20

4x  = 2x + 50                add 30 to both sides

2x = 50                         subtract 2x from both sides

x = 25                            divide both sides by 2

You can plug x into the expressions and compare the sides to make sure its correct.

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).