Please help, this is passed due.

4x + 30 because its an acute and obtuse

Angle MON = 130°

Step-by-step explanation:

since, we know ;

m LON = m LOM + m MON

( m LON = 180°, because it forms a straight line, that is " linear pair " )

so,

x = 5°

now,

=》m MON = 8x + 90°

=》m MON = ( 8 × 5° ) + 90°

=》m MON = 40° + 90°

=》m MON = 130°

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).