Mathematics, 03.07.2019 05:50 Annlee23

Brainlist drag a reason to each box to complete the flowchart proof.

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The complete proof statement and reason for the required proof is as follows:

Statement                                    Reason

m<PNO = 45                               Given

MO                                              Given

<MNP and <PNO are a
linear pair of angles                     Definition of linear pairs of angles

<MNP and <PNO are
supplementary angles                 Linear Pair Postulate

m<MNP + m<PNO = 180°          Definition of supplementary angles

m<MNP + 45° = 180°                 Substitution property of equality

m<MNP = 135°                          Subtraction property of equality

Answer from: brainfreeze911ovksah

Definition of Linear Pairs of Angles; and Definition of supplementary angles.

Step-by-step explanation:

A linear pair is two angles that form a straight line. Thus our second step, that ∠MNP and ∠PNO are a linear pair, is from the definition of linear pairs.

We know from our third step that linear pairs are supplementary. By the definition of supplementary angles, this means they have a sum of 180°.

Answer from: Quest

21.00 per mile and plus 5.50 is 26.50 i think that im pretty sure it is right

Answer from: Quest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.

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