Answer:
Perpendicular
Step-by-step explanation:
Given points P=(2,6) and Q=(4,5)
The line RS is y=2x-3.
Now we know that the line joining any two points (x1,y1) and (x2,y2) has slope m=
Now the slope of the line PQ is 
m1= = -
= - 
 
We know that  the slope of the line in the form y=mx+c is m
So the line RS has slope m2=2
Now two lines are parallel if m1=m2
And those two lines are perpendicular if 
here m1= - and m2=2
    and m2=2
clearly 
Therefore the two given lines are perpendicular
 
        
             
        
        
        
Answer:
70
Step-by-step explanation:
Ok so we first add 4.75 and 5.25. 4.75+5.25=10. So 10 hours each day so 10 x 7 = 70. 70 hours in 7 days
 
        
                    
             
        
        
        
Answer:
c=Px−5x4−7x3+2x2+3x
Step-by-step explanation:
Solve for 
c
 by simplifying both sides of the equation, then isolating the variable.
 
        
             
        
        
        
Answer:
m∠EGC=70°
Step-by-step explanation:
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite
so
m∠EGC=(1/2)[arc EC+arc DF]
<u><em>Find the value of x</em></u>
we have
m∠EGC=(7x+7)°
arc EC=50°
arc DF=10x°
substitute and solve for x
(7x+7)°=(1/2)[50°+10x°]
14x+14=50+10x
14x-10x=50-14
4x=36
x=9
<u><em>Find the measure of angle EGC</em></u>
m∠EGC=(7x+7)°
substitute the value of x
m∠EGC=(7(9)+7)°=70°
 
        
                    
             
        
        
        
Answer:
x = 3.51
Step-by-step explanation:
Since, formula to determine the area f a triangle is,
Area = 
      8 = 
16 = x(3x - 7) + 1(3x - 7)
16 = 3x² - 7x + 3x - 7
16 = 3x² - 4x - 7
0 = 3x² - 4x - 23
3x²- 4x - 23 = 0
By quadratic formula,
x = 
x = 
x = 
x = 
x = 3.51, -2.18
But the length of sides can't be negative.
Therefore, x = 3.51 will be the answer.