Answer:
Step-by-step explanation:
8x+5y = 20 
y = (-8/5)x + 4
slope of the line is -8/5.
slope of any perpendicular to the line is ⅝.
line of slope ⅝ that passes through P(4,5):
y-5 = ⅝(x-4)
y = ⅝x + 2.5
find intersection of lines
⅝x + 2.5 = (-8/5)x + 4
25x + 100 = -64x + 160
89x = 60
x = 60/89, y = 260/89
distance between (60/89, 260/89) and (4,5) = 3.92
 
        
             
        
        
        
Answer:
Step-by-step explanation:
  
        
             
        
        
        
Answer:
Either 130 or 131 would be acceptable.
Step-by-step explanation:
When we estimate, we do not use exact values.
66.17 is close to 66
44.98 is close to 45
20.15 is close to 20
             
Add the estimates together: 66+ 45+ 20 = 131
We could also estimate 66.17 to 65 which would give us an estimate of 130
 
        
                    
             
        
        
        
102.5
Lol, well to start, it’s not asking to divide 0.4 by 41. It’s asking to divide 41 by 0.4.
And that will get you to 102.5. You could do long division or use a calculator if you are allowed.
        
                    
             
        
        
        
Answer:
<A = 44
Step-by-step explanation:
A triangle is 180 degrees
(x+59) + (x+51) + 84 = 180        >> add everything on the left side
2x + 194 = 180                          >> subtract both sides by 194
2x = -14                                     >> divide both sides by 2 to get x alone
x = -7
since you are finding A<, substitute
<A = x + 51
<A = (-7) + 51
<A = 44