Answer:
x = 5/e
Step-by-step explanation:
ln x- ln 5= -1
We know that ln a - ln b = ln (a/b)
ln x- ln 5= -1
ln(x/5) = -1
Raise each side to the power of e
e^ ln(x/5) = e^-1
We know that e^-1 = 1/e
x/5 = 1/e
Multiply each side by 5
x/5 *5 = 1/e * 5
x = 5/e
 
        
             
        
        
        
Answer:
(x + 6, y + 0), 180° rotation, reflection over the x‐axis
Step-by-step explanation:
The answer can be found out simply , a trapezoid has its horizontal sides usually parallel meanwhile the vertical sides are not parallel.
The horizontal parallel sides are on the x-axis.
Reflection over y- axis would leave the trapezoid in a vertical position such that the trapezoid ABCD won't be carried on the transformed trapezoid as shown in figure.
So option 1 and 2 are removed.
Now, a 90 degree rotation would leave the trapezoid in a vertical position again so its not suitable again.
In,The final option (x + 6, y + 0), 180° rotation, reflection over the x‐axis, x+6 would allow the parallel sides to increase in value hence the trapezoid would increase in size, 
180 degree rotation would leave the trapezoid in an opposite position and reflection over x-axis would bring it below the Original trapezoid. Hence, transformed trapezoid A`B`C`D` would carry original trapezoid ABCD onto itself
 
        
             
        
        
        
Answer:
vertex = 
Intercepts for x = 
intercepts for y = (0,-6)