M∠AOC=108 ∘
m, angle, A, O, C, equals, 108, degrees
\qquad m \angle AOB = 3x + 4^\circm∠AOB=3x+4
∘
m, angle, A, O, B, equals, 3, x, plus, 4, degrees
\qquad m \angle BOC = 8x - 28^\circm∠BOC=8x−28
∘
m, angle, B, O, C, equals, 8, x, minus, 28, degrees
Find m\angle AOBm∠AOBm, angle, A, O, B:

42.4

step-by-step explanation:

convert to decimal

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).

i think the answer is c sorry if it's wrong