In the accompanying diagram of ABC, D is a point on AB and E is a point on BC such that DE is parallel to AC. If
DB is 2 less than AD, AC is 5 more than AD, and DE = 4,
find the length of AD to the nearest tenth.

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).

answer: they are supplementary angles

step-by-step explanation: 161+19=180. supplementary angles equal 180 degrees