Triangle A'B'C'is the image of triangle ABC under a rotation about the origin. (0,0) determine the angle of rotation

a. -105
b. -75
c. 75
d. 105​

9514 1404 393

  b.  -75°

Step-by-step explanation:

Point A moves from (-4, -3) to (-4, 3). We can find the angle of rotation several ways. One is to consider the tangent of the angle relative to the x-axis.

Point A is on a line that makes an angle to the x-axis of ...

  ∠A = arctan(-3/-4) = 36.9°

Point A' is on a line that makes an angle to the x-axis of ...

  ∠A' = arctan(3/-4) = -36.9°

Then the change in angle is ...

  ∠A' -∠A = -36.9° -36.9° = -73.8°

The closest answer choice is ...

  b.  -75°

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

linear pair postulates