The angle of rotation at which point a’ coincidences point

216 degrees

Step-by-step explanation:

Given that ABCDE is a regular pentagon.

Hence each angle would equal = {2(5)-4}/5 right angles

=6(90)/5 =108 degrees

Since regular pentagon rotation will not disturb the shape.

When counterclockwise rotated, if 108 degrees rotated A would become E.

For another 108 degrees A would come to D

Hence angle required for rotation for A to coincide with D = 2(108)

=216 degrees

f

step-by-step explanation:

f

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.