Answer:
x = 3
Step-by-step explanation:
Given the 2 equations
x + y = 3 → (1)
2x - y = 6 → (2)
Adding the 2 equations term by term eliminates the y- term, that is
3x = 9 ( divide both sides by 3 )
x = 3
 
        
             
        
        
        
Given that <span>point L is between M and N on MN. Then
MN = ML + LN
31 = h - 15 + 2h - 8 = 3h - 23
3h = 31 + 23 = 54
h = 54/3 = 18
Therefore, LN = 2(18) - 8 = 36 - 8 = 28.
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Answer:
The ratio is  .
.
Step-by-step explanation:
The ratio of the perimeters of Quad ABCD to Quad WXYZ = 
But considering sides AB and WX,
representative factor for both figures = 
So that;
WX = 12
XY = 1.5 x 6 = 9
YZ = 1.5 x 7 = 10.5
WZ = 1.5 x 7 = 10.5
Thus,
perimeter of Quad ABCD = 6 + 7 + 7 + 8
                                            = 28
perimeter of Quad WXYZ = 9 + 10.5 + 10.5 + 12
                                            = 42
The ratio of the perimeters of Quad ABCD to Quad WXYZ = 
                                                          = 
 
        
             
        
        
        
The question is incomplete. Below you will find the missing contents. 
The correct match of events with order are, 
- P(A)P(B|A) - Dependent event 
- P(A)+P(B) - Mutually exclusive events 
- P(A and B)/P(A) - Conditional events 
- P(A) . P(B) - Independent Events 
- P(A)+P(B) -P(A and B) - not Mutually exclusive events. 
When two events A and B are independent then, 
P(A and B)=P(A).P(B)
when A and B are dependent events then, 
P(A and B) = P(A) . P(B|A)
When two events A and B are mutually exclusive events then, 
P(A and B)=0
So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B) 
P(A) + P(B) = P(A or B) 
When events are not mutually exclusive then the general relation is, 
P(A or B) = P(A) + P(B) - P(A and B)
If the probability of the event B conditioned by A is given by, 

Hence the correct match are - 
 Dependent event Dependent event
 Mutually exclusive events Mutually exclusive events
 Conditional events Conditional events
 Independent Events Independent Events
 not Mutually exclusive events. not Mutually exclusive events.
Learn more about Probability of Events here - 
brainly.com/question/79654680
#SPJ10
 
        
             
        
        
        
Answer:
Not a right triangle
Step-by-step explanation:
We can figure out if it is a right triangle or not by using the pythagorean theorem.
a^2 + b^2 = c^2
In this case a and b are 16 and 18
In order for it to be a right triangle, c has to equal 34, in this problem.
16^2 + 18^2 = c^2
= 580^2
=  = 24.0832
 = 24.0832
Since 24.0832 does not equal 34, this is not a right triangle