Answer:
B: 22.5 degrees
Step-by-step explanation:
The interior angles of a pentagon add up to 540 degrees
(if you dont believe me you can turn a pentagon into three triangles, 3x180 = 540)
So you have four same angles say measure "x" degrees, and one final one that measures "5x" degrees, so 9x = 540, and x = 60
Unless I read the problem wrong, 60 degrees is the answer which is not an option :P
Edit: Yea I read it wrong, the final angle is 5 times the other four angles COMBINED, so that angle measures "20x" degrees. 
The total would be 24x = 540, and so x = 22.5 
 
        
             
        
        
        
Answer:
Proved, 
P(A∪B)=0.72 
Step-by-step explanation:
Sue travels by bus or walks when she visits the shops. 
Probability( catch the bus to the shop ), P(A) = 0.4
Probability( catch the bus from the shop ), P(B) = 0.7
Both A and B are independent events. 
Therefore, 
P(A∩B) = 0.4×0.7 
            = 0.28
Probability Sue walks one way = 1 - P(A∩B)
                                                    = 1 - 0.28
                                                    = 0.72
Hence, the probability that Sue walks at one way is 0.72 
 
        
             
        
        
        
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following equation:

We manipulate algebraically to write the equation of the slope-intersection form:

We check if the given point belongs to the equation:

The point does not belong to the equation.
ANswer:

 
        
             
        
        
        
X = 38
2x is equal to the angle next to the x + 66 angle because ℓ1 ∥ ℓ2 is parallel so:
2x + x + 66 = 180 -- combine like terms
3x + 66 = 180 -- subtract 66 from both sides
3x = 114 -- divide by 3 on both side
x = 38
 
        
             
        
        
        
i honestly don't know :-l