Answer: m∠ATC = 54°
Step-by-step explanation:
Ok, we know that:
m∠ATB = 20° and  m∠BTD = 72°
then we must have that the angle between A and D, is equal to the sum of the angles between A and B, and B and D, or:
 m∠ATD = m∠ATB + m∠BTD = 20° + 72° = 92°
Now, we also know that m∠CTD = 38°
And the angle:
m∠ATC  will be equal to the angle between A and D, minus the angle between C and D, or:
m∠ATC = m∠ATD - m∠CTD = 92° - 38° = 54°
 
        
             
        
        
        
Answer:
FH=7
Step-by-step explanation:
If the whole thing FG is 22 and HG is 15 you subtract 22-15 and get 7
 
        
             
        
        
        
Sometimes it helps to draw it out...
     (17)
C_______M_________Q
|___________________|
             21
therefore, CM + MQ = CQ
17 + MQ = 21
MQ = 21 - 17
MQ = 4 <===
        
                    
             
        
        
        
Answer
-10
Step-by-step explanation:
-8w-7=9
add 7 to both sides
-8w=16
divide by negative 8 on both sides
w=-2
w-8=-10
 
        
                    
             
        
        
        
(-6,-4) 
the point D can shift left 2 units which would be at that point