Explanation
The Inscribed Quadrilateral Theorem states that a quadrilateral can be inscribed in a circle if and only if the opposite angles of the quadrilateral are supplementary
Answer 1: True
Also, Given a triangle, the circumscribed circle is the circle that passes through all three vertices of the triangle. The center of the circumscribed circle is the circumcenter of the triangle, the point where the perpendicular bisectors of the sides meet.
Answer 2: True
 
        
             
        
        
        
Answer:
C.  9√2.
Step-by-step explanation:
√8 + 3 √2+ √ 32
= √4 *√2 + 3√2 +  √16*√2
= 2√2 + 3√2 + 4√2
= 9√2.
 
        
             
        
        
        
We are given the coordinate of the 3 vertices. From these coordinates we can find the length of the sides using the distance formula and the sum of all the sides will be equal to the perimeter of the triangle.
Side PQ = 

Side QR = 

Side RP = 

So, the perimeter of the triangle will be 8 + 4.5 + 7.2 = 19.7 
You probably misplaced the digits in option A. The correct answer is 19.7 units.
 
        
        
        
Cause its a bird and they eat the bigger ones
        
             
        
        
        
Answer:
Magnitude and Direction is 928 and 44
Step-by-step explanation:
For a Vector w = (x)i+(y)j
The Magnitude of w 
and the Direction of w 
So for our Question , w = - 168i - 160j
Then -4w = -4 (- 168i - 160j) = (-4*-168)i +(-4*-160)j = 672i + 640j
Then the Magnitude of -4w = 
and the Direction of -4w =  ( to the nearest whole number)
 ( to the nearest whole number)
Hope it Helps:)