Answer:
The values of 
so that 
have vertical asymptotes are 
, 
, 
, 
, 
.
Step-by-step explanation:
The function cosecant is the reciprocal of the function sine and vertical asymptotes are located at values of so that function cosecant becomes undefined, that is, when function sine is zero, whose periodicity is . Then, the vertical asymptotes associated with function cosecant are located in the values of of the form:
, 
In other words, the values of so that have vertical asymptotes are , , , , .
I think it would be the second question!
Answer:
26
Step-by-step explanation:
The sum of angles in a triangle is 180 degrees, use this and set up an equation;
x + ( 4x -5 ) + 55 = 180
Simplify
x + ( 4x - 5 ) + 55 = 180
5x + 50 = 180
Inverse operations;
5x + 50 = 180
-50 - 50
5x = 130
/5 /5
x = 26
Perimeter is 42
~~~~~~~~~~~~~~~~~~~~~~~~~
Trapezoid
it has four sides and 1 set of parallel lines
