Answer:
The value of x is 3
Step-by-step explanation:
∵ Quadrilateral ABCD is congruent to quadrilateral JKLM
∴ AB = JK and BC = KL
∴ CD = LM and AD = JM
∵ BC = 8x + 7
∵ KL = 31
∵ BC = KL
→ Equate their right sides
∴ 8x + 7 = 31
→ Subtract 7 from both sides
∵ 8x + 7 - 7 = 31 - 7
∴ 8x = 24
→ Divide both sides by 8 to find x
∴  =
 = 
∴ x = 3
∴ The value of x is 3
 
        
             
        
        
        
Answer: 1
Step-by-step explanation:
In order to find GCF, take the prime factorization of 3 and 13.
3: 1*3 ==> Prime factorization of 3
13: 1*13 ==> Prime factorization of 3
The common factor is 1.
GCF of 13 and 3 is 1
 
        
                    
             
        
        
        
Answer
(a) 0.94
(b)0.06
Step-by-step explanation:
P(husband is employed) = P(H) = 0.85
P(wife is employed) = P(W) = 0.59
P(both are employed) = P(H∩W) = 0.50
(a) At least one of them is employed 
= P(H∪W)
= P(H) + P(W) - P(H∩W)
=0.85 + 0.59 - 0.50
=0.94
(b) Neither is employed,
=1 - P(H∪W)
= 1-0.94
=0.06
 
        
             
        
        
        
Answer:
x=-3
Step-by-step explanation:
x+9 = 3.2=6
x= 6-9=-3
 
        
                    
             
        
        
        
To get the answer you have to divide the sale price $172.80 by 73%.
So first you turn 73% into a decimal by moving the decimal two places to the left turning it into .73 
$172.80 divided by .73 = $236.71
You can check by then multiplying $236.71 with .73