Through which angle of rotation does the image of a regular pentagon coincide with its preimage?
a 90 degrees
b 72 degrees
c 60 degrees
d 45 degrees
e 30 degrees
say correct answer

Answer-

When rotated a angle of 72°, a regular pentagon coincides with its pre-image.

Solution-

A polygon is regular when all angles are equal and all sides are equal. So, when a pentagon's all 5 angles and sides are equal then it's called as a regular pentagon.

The angel subtended by two consecutive radius of a regular pentagon(i.e the line joining vertices and the center of the pentagon) at the center is 72°.

Due to its symmetry when a regular pentagon is rotated 72° around its center(both clockwise and counter-clockwise), it produces same pentagon as before.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

i think that you should ask google for the answer to that problem because if we don't know it google does