Answer:
Step-by-step explanation:
Given
We know that trigonometric ratio as
- sin Ф = opposite/hypotenuse
- cos Ф = adjacent/hypotenuse
- tan Ф = opposite/adjacent
as
sin A = sin 40 = opposite/hypotenuse
From the diagram, it is clear that the opposite of angle A is a=8 and the hypotenuse is 'c'.
also the angle 
sin A = sin 40 = opposite/hypotenuse = a/c = 8/c
sin 40 = 8/c
c = 8/sin 40
c = 8/0.745
c = 10.7
so the value of c will be: 10.7 units
so 
tan B = opposite/adjacent
          = b/a
          = 0.9

    
Therefore, the value of B = 
As the sum of the angles of triangle ABC is 180.
i.e.
A+B+C = 180
(40)° + (42)° + C = 180°
C = 180° - 40° - 42°
   = 98°
Therefore, the value of C = 98°
Hence,
 
        
             
        
        
        
Answer:
14    -50    -29    -541 
Step-by-step explanation:
8-3=5-1=4+5=9-8=1+13=14-64=-50+21=-29-512=-541  
i got this by looking up sequence pattern finder in google and clicking on the second option then inserting the numbers you gave hope this helps
 
        
             
        
        
        
Answer:
The measure of an interior angle of a regular 15-gon is 120°.
Step-by-step explanation:
We need to determine the measure of the size of an interior angle of a regular 15-gon having 15 sides.
Thus,
The number of sides n = 15
Hence,
Using the formula to determine the measure of an interior angle of a regular 15-gon is given by
(n - 2) × 180° = n × interior angle
substitute n = 15
(15 - 2) × 180 = 15 × interior angle
13 × 180 = 15 × interior angle
Interior angle = (10 × 180) / 15
                       = 1800 / 15
                       = 120°
Therefore, the measure of an interior angle of a regular 15-gon is 120°.
 
        
             
        
        
        
17. 2x<16 x=7 or lower
All I can help you with is #17,
sorry that I can't answer the other 3.
I hope this helped! :-)