M<1 = m<2 =
m<3=
m<4=

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Blank #2
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m < 1 = 23°

m < 2 = 90°

m < 3 = 67°

m < 4 = 113°

Step-by-step explanation:

m < 2 is a right angle. Therefore, m < 2 = 90°.

Since m < 2 is 90°, then m < 1 + m < 67° = 90°

To solve for m < 1: subtract m < 67° from m < 2:

90° - m < 67° = 23°.  Thereforem m < 1 = 23° (acute angle).

m < 67° + m < 4 = 180° (supplementary angles).

To solve for m < 4: subtract m < 67° from 180°  

180° - m < 67° = 113° .

Therefore, m < 4 = 113° (obtuse angle).

The sum of m < 4 and m < 3 = 180° (supplementary angles).

180° - m < 4 = m < 3

180° - 113° = 67°

Therefore, m < 3 = 67° (acute angle).

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

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: