Given: m ∠3 = m ∠4
To Prove: ∠1, ∠2 are supplementary .
Proof : m ∠3 = m ∠4    ( Given)                                              ------------(1)
m<2 + m< 3 = 180 degrees  ( <2 and <3 form a linear pair). ----------(2)
m< 4 = m<1                            (Vertical angles are equal)       -----------(3).
Substituting,  m<4 =m<1 in (1), we get 
m ∠3 = m ∠1.
Now, substituting m ∠3 = m ∠1 in (2), we get 
m<2 + m< 1 = 180 degrees.
Sum of m <1 and m<2 is 180 degrees.
Therefore,<em> ∠1, ∠2 are supplementary by the defination of supplementary angles.</em>
 
        
                    
             
        
        
        
2x-x-7=0
3x-7=0
add 7 to 7 and 0, so then we cross out 7-7, and then
3x=7, bc u change the subtraction to addition, sr if thst doesn't make sense but 3x=7 is the answer
        
                    
             
        
        
        
Answer:
39
Step-by-step explanation:
Given the function :
h(t) = t² + 2
From t = 5 to t = 8
when, t = 5
h(5) = 5² + 2
h(5) = 25 + 2
h(t) at t = 5 ; equals 27
when, t = 8
h(5) = 8² + 2
h(5) = 64 + 2
h(t) at t = 8 ; equals 66
Net Change :
h(8). - h(5)
66 - 27 = 39
 
        
             
        
        
        
I would say B.
Hope this helped! 
:)
        
             
        
        
        
Answer:
Step-by-step explanation:
If the number of types of massages is represented by 4x + 3 and the number of types of manicures is represented by -6x + 5 and the number of types of pedicures is represented by 8x - 7, what is the expression for the total number of services they have to choose from?