Angle 1 and 2 are linear pair. If m<1=x-9 and m<2=x+47 find the measure of each angle

m1 = 62°, m2 = 118°

Step-by-step explanation:

The definition of a linear pair of angles is a pair of angles that are adjacent and add up to 180°.

Then, we have the following equation

Then,

Subtracting 38 on both sides

Dividing by two, we get x = 71. Then m1 = 71-9 = 62, m2 = 71+47=118[/tex]

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).

correct choice is a

step-by-step explanation:

the equation of the line passing through the points and is

thus, the equation of the line that passes through the points (0, -6) and (-3, 0) is