What is the value of x? enter your answer as a decimal.

There are two triangles: triangle MAB and triangle MNP

The slanted sides on the right side of the triangles are MB and MP. They correspond to one another. So they form a ratio MB/MP. I have the smaller piece up top. So we'll have the smaller piece of MAB's other known side which is MA = 35.2 (subtract 67.22 and 32) and we'll divide MA over MN = 67.2 making the ratio MA/MN

Solve the proportion for x

MB/MP = MA/MN

x/81.9 = 35.2/67.2

67.2*x = 81.9*35.2 <<--- cross multiply

67.2*x = 2882.88

x = 2882.88/67.2 <<--- divide both sides by 67.2

x = 42.9

42.9

Step-by-step explanation:

Remark

When lines are parallel and they are cut by a transversal, their corresponding angles are equal.

Therefore Corresponding Sides of Similar Triangles are in a ratio

Equation

MA / MN = MB/MP

Givens

Solution

35.2/67.2 = x / 81.9        Cross Multiply

35.2 * 81.9 = 67.2 * x      Combine the left

2883 = 67.2 * x               Divide by 67.2

2883/67.2 = x

x = 42.9                           Answer

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:

answer: options

step-by-step explanation: