Answer:
x=8
z = 115
Step-by-step explanation:
65 and 13x - 39 are vertical angles so they are equal
65 = 13x - 39
Add 39 to each side
65+39 = 13x - 39+39
104 = 13x
Divide each side by 13
104/13 = 13x/13
8 =x
65 and z are supplementary angles because they form a straight line.  This means they add to 180
65+z = 180
Subtract 65 from each side
65+z-65 = 180-65
z = 115
 
        
                    
             
        
        
        
Step-by-step explanation:
distance must be given 
average speed is distance and time
 
        
             
        
        
        
Answer:
<em>Hello, </em><u><em>Your answer will be  "12.5"</em></u>
Step-by-step explanation:
To write 50/4 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 50 by 4 what we write down as 50/4 and we get 12.5<em> Hope That Helps!</em>
  
        
                    
             
        
        
        
One is a linear and the other is a quadratic polynomial.
And (x+2) is indeed a factor.
You can rewrite it as (x+2)(3x-7)
        
                    
             
        
        
        
1st let's calculate the decreasing rate & let V₁ be the initial value & V₂ the final's
we know that V₂=V₁.e^(r,t) where r=rate & t-time (& e=2.718)
After t= 2 years we can write the following formula
2350,000=240,000.e^(2r)==> 235,000/240000 = e^(2r) =>47/48=e^(2r)
ln(47/48)=2rlne==> ln(47/48)=2rlne=2r (since lne =1)
r= ln(47/48)/2==>r=-0.0210534/2 =-0.01052 ==> (r=-0.01052)
1) Determine when the value of the home will be 90% of its original value.
90% of 240000 =216,000
Now let's apply the formula
216,000=240,000,e^(-0.01052t), the unknown is t. Solving it by logarithm it will give t=10 years
1.a) Would the equation be set up like so: V=240e^.09t? NON, in any case if you solve it will find t=1 year
2)Determine the rate at which the value of the home is decreasing one year after : Already calculated above :(r=-0.01052)
3)The relative rate of change : it's r = -0.01052