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bogdanovich [222]
3 years ago
15

Jarvis left out a statement from the proof shown.which statement is best explained by the corresponding angles postulate

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
7 0
The postulate of the corresponding angles establishes that when a transversal line cuts two parallel lines, the corresponding angles are congruent. These angles are on the same side of the parallel lines and on the same side of the transversal line.

  Then, if we based on this definition and analize the figure attached, we can notice that the angles ∠1 and ∠3 are corresponding angles, so they are congruent. In this case the angle ∠1 is internal and the angle ∠3 is external.

 The answer is: ∠1 and ∠3 are congruent (See the image attached).

mrs_skeptik [129]3 years ago
3 0

Answer:

∠1 ≅ ∠3

Step-by-step explanation:    

Jarvis left out a statement from the proof shown. Which statement is best explained by the corresponding angles postulate?

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A vehicle travels 57 kilometers north and then travels 26 kilometers south. What is the current position of the vehicle? (2 poin
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C. 31 kilometers north of its starting location

Step-by-step explanation:

<em>Please see attached a rough sketch of the situation for your reference</em>.

Step one:

Displacement North= 57km

Displacement South= 26km

Required

The  final displacement

The current position is attained by subtracting 26km from 57km

=57-26= 31km

Therefore the current position is

C. 31 kilometers north of its starting location

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Which statement is the most appropriate comparison of the spreads?
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D  The IQR for town A is less than the IQR for town B

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8 0
2 years ago
Prove<br><br> that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).
telo118 [61]

Answer:

Proved

Step-by-step explanation:

Given

B =(-2,-1)

U = (0,3)

G = (3,2)

S = (4,-3)

Required

Prove BUGS is a trapezoid

Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.

<u></u>

<u>Taking BU and GS as a pair</u>

First, we calculate the slope using:

m = \frac{y_2 - y_1}{x_2 - x_1}

For BU

B =(-2,-1) --- (x_1,y_1)

U = (0,3) --- (x_2,y_2)

So, we have:

m = \frac{3 - -1}{0- -2}

m = \frac{4}{2}

m = 2

For GS

G = (3,2) --- (x_1,y_1)

S = (4,-3) --- (x_2,y_2)

So, we have:

m = \frac{-3-2}{4-3}

m = \frac{-5}{1}

m = -5

<em>The slope of BU and GS are not the same; hence, they are not parallel.</em>

<u>Taking BS and GU as a pair</u>

Calculate the slope

For BS

B =(-2,-1) --- (x_1,y_1)

S = (4,-3) --- (x_2,y_2)

So, we have:

m = \frac{-3 - -1}{4- -2}

m = \frac{-2}{6}

m = -\frac{1}{3}

For GU

G = (3,2) --- (x_1,y_1)

U = (0,3) --- (x_2,y_2)

So, we have:

m = \frac{3-2}{0-3}

m = \frac{1}{-3}

m = -\frac{1}{3}

The slope of BS and GU are the same; hence, they are parallel.

<em>BUGS is a trapezoid because BS and GU have the same slope</em>

8 0
3 years ago
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