2. find the measure of angle a. make sure to show all work.


 

Angle A measures 80°

Step-by-step explanation:

Here,  the measure of ∠A = (5x + 20)° (given)

From the given picture, the other 2 angles of the triangle measure,

(4x - 3)°  and (180 - 125)° = 55° respectively

[Since, opposite angles are equal and sum of two adjacent angles over the same straight-line is 180°]

Now, since the sum of 3 interior angles of any triangle equals 180°, so,

(5x + 20) + (4x - 3) + 55 = 180

⇒ 9x = 108

⇒ x = 12

So, (5x + 20)° =

                      = 80°

So, angle A measures 80°

b

step-by-step explanation:

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: