Step-by-step explanation:
1) given 
2) 2 non - common sides in 1 ray
3) supplemental
5) opposite angles are congruent
 
        
                    
             
        
        
        
Answer:
x=-4
Step-by-step explanation:
46 = -7x + 18
subtract 18 from each side to get:
28 = -7x
divide each side by -7 to get:
x = -4
 
        
             
        
        
        
The ratio of Isabella’s money to Shane’s money is 3:11
Isabella has $33.   
We can make a proportion to solve for how much money Shane has.   
A proportion is two ratios that are set equal to each other.  
Let’s call Shane’s money ‘S’   
We get this proportion:   3/11 = 33/x   
If we cross multiply we get:   
(33) * (11) = (3) * (x)   
Simplifying it, we get:
363 = (3) * (x)   
Divide both sides by 3, we get:
x = 121   
However, the question asks how much money they have together. 
Isabella + Shane = Total
33 + 121 = $154   
<span>They have $154 together.</span>
        
                    
             
        
        
        
Answer:
a.
b. \
\
c.
Step-by-step explanation:
Let  are the events that denotes the good drive, medium drive and poor risk driver.
 are the events that denotes the good drive, medium drive and poor risk driver.

Let A be the event that denotes an accident.



The company sells Mr. Brophyan insurance policy and he has an accident.
a.We have to find the probability Mr.Brophy is a good driver
Bayes theorem,
We have to find 
Using the Bayes theorem

Substitute the values then we get 


b.We have to find the probability Mr.Brophy is a medium driver

c.We have to find the probability Mr.Brophy is a poor driver
