Answer:
m∠Q = 109°
m∠QRT = 109°
x = 4
Step-by-step explanation:
1). "Opposite angles of a parallelogram are equal"
By this property,
m∠Q = m∠S = 109°
2). "Opposite sides of a parallelogram are parallel and equal in measure"
By this property,
RQ║ST and diagonal RT is a transversal line.
m∠QRT = ∠SRT = 30° [Alternate interior angles]
3). "Opposite sides of a parallelogram are parallel and equal in measure"
RS = QT
2x = 8
x = 4
 
        
             
        
        
        
Answer: 27 dogs were seen at the clinic on monday.
27/45 = 0.6
0.6 = 60%
        
                    
             
        
        
        
Answer:
The answer will always be negative
Step-by-step explanation:
The rule is if you multiply positive by positive it will equal positive.
If you multiply negative and negative it will equal positive.
But if you multiply negative and positive it will equal negative.
 
        
             
        
        
        
Answer:
csc(θ) =  1.1662
cos(θ)  = 0.5145
Step-by-step explanation:
I attach the image of your question in the picture below
We know the values of the adjacent and opposite cathetus
tan(θ) = Opposite / Adjacent
tan(θ) = 5/3 = 1.666
θ = tan^-1 (5/3)
θ = 59.0362 °
Now that we have the angle, we can easily find the value of the expressions needed
csc(θ) = 1 / sin(θ)  = 1/ (0.85749) = 1.1662
cos(θ)  = 0.5145