Since, the co-interior angles(55° and 125°) are supplementary(sum is 180), therefore the lines are parallel.
        
             
        
        
        
Answer:
x = -4
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
Let the side length for the octagon having 9m² as area = x
Side length for the octagon having area of 25m² = y.
Thus:
 (area of similar polygons theorem)
 (area of similar polygons theorem)
The scale factor of their sides would be  . Which is:
. Which is:



Scale factor of their sides = 
 
        
             
        
        
        
To answer this item, we have 4 as the speed of the kayaker in still water and the speed of current be y.
When the karayaker moves upstream or against the current, his speed would be 4 - y. Further, if he moves downstream or with the current, the total speed would be 4 + y. The time utilized for the travel is equal to the ratio of the distance and the speed. 
 Total time = 9/(4 - y)  + 9/(4 + y) = 6
We multiply the equation by (4-y)(4+y)
              9(4-y) + 9(4 + y) = 6(4-y)(4+y)
Simplifying,
                72 = 96 - 6y²
Transposing all the constants to only one side of the equation and rearranging,
               6y² = 96 - 72
                 y² = 4
                    y = 2
Hence, the speed of the river's current is 2 miles/hr. <em>The answer is letter B.) 2 miles/hour.</em>
        
             
        
        
        
Answer:
23d + 45 = 137
Explanation:
Since it is $23 per day, that dollar amount must be associated with a variable that multiples it per day that it is rented. Finally, you need to add the one time $45. This equation can then be used to find how many days it was rented for.
23d + 45 = 137
23d = 92 (Subtract 45 from both sides)
d = 4 (Divide by 23 on both sides) 
The rug-cleaning machine was rented for 4 days. You found this using the equation: 23d + 45 = 137