In ΔUVW, \overline{UW} UW is extended through point W to point X, \text{m}\angle UVW = (x+19)^{\circ}m∠UVW=(x+19) ∘ , \text{m}\angle WUV = (x+13)^{\circ}m∠WUV=(x+13) ∘ , and \text{m}\angle VWX = (5x+14)^{\circ}m∠VWX=(5x+14) ∘ . Find \text{m}\angle WUV. M∠WUV.

step-by-step explanation:

where is the questions

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).