Answer:
Since BD bisects Angle ABC, Angle ABD = Angle DBC

Subtract 6 from both sides:


Subtract 7x from both sides:


Divide both sides by -4:


Angle 
Angle 
Angle 
The second graph is correct.
There will be a vertical asymptote at x=0, since we cannot divide by 0. Using the x-axis on the second graph, if we substitute 5 in for x, we have 100/5+20 = 20+20=40. There is a point on this graph here. Using 10 for x, we have 100/10+20 = 10+20 = 30. There is a point on the graph here. Every point matches.
Answer:
Step-by-step explanation:
Complement to 60° = 30°
cos(30°) = sin(60°) = 0.866
Answer:
5/3
Step-by-step explanation:
Tangent is defined as the length of the opposite side of the triangle divided by the length of the adjacent side of the triangle. Since you know that two of the legs are 3 and 4, using the pythagorean theorem you know that the last side is 5. Sin is defined as the length of the opposite side divided by the length of the hypotenuse, which in this case is 3/5. Cosecant is just the reciprocal of that, or 5/3. Hope this helps!