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NikAS [45]
3 years ago
6

HELP!!!brainlist Drag a reason to each box to complete the flowchart proof.

Mathematics
2 answers:
exis [7]3 years ago
3 0
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
Nataly [62]3 years ago
3 0

Answer:

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°.

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3 years ago
PLEASES HELP <br> I need help on this question the screenshot are down below
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Answer:

D would be the answer

Step-by-step explanation:

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2 years ago
Read 2 more answers
The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.
vichka [17]

Answer:

The first angle is the smallest

Step-by-step explanation:

Step one:

given data

Angle 1= x+37

Angle 2= 90

angle 3= x+67

We know that the sum of angle in a triangle is 180

so

x+3+90+x+67= 180

collect like terms

2x+160= 180

2x=180-160

2x= 20

divide both sides by 2

x= 10

Step two:

so

Angle 1= 10+37= 47 °

Angle 2= 90= 90

angle 3= 10+67= 77 °

7 0
3 years ago
A race track is made from two straights and two semicircles. The straights are 80m long. The race track has a total perimeter of
Dmitriy789 [7]

Answer:

76.4 m

Step-by-step explanation:

The race track has two straights and two semi circles.

Each straight is 80m

total perimeter for the straights is 80 * 2 = 160m

two semi circles which creates a full circle

perimeter of a full circle = \pi d

NB : (d) is the diameter

therefore we can find the value of the diameter

400 = 160 + \pi d

400- 160 = \pid

240 = \pid

d = 240/\pi

d = 76.394.....

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3 0
3 years ago
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