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otez555 [7]
3 years ago
15

Identify all the numbered angles that are congruent to the given angle. Justify your answers.

Mathematics
1 answer:
inn [45]3 years ago
8 0

Answer/Step-by-step explanation:

The reasons for the stated numbered angles that are congruent to the given angles are written in the parentheses as follows:

7. <7 ≅ 65° (alternate interior angles)

<4 ≅ 65° (corresponding angles)

<1 ≅ 65° (vertical angles)

8. <4 ≅ 51° (alternate interior angles)

<5 ≅ 51° (corresponding angles)

<7 ≅ 51° (vertical angles)

9. <1 ≅ 120° (corresponding angles)

<3 ≅ 120° (alternate angles)

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Is the line through points p(-7,8) and q(-5,-6) parallel to the line throuh points R(3,-5) and S(-2,0)? explain.
BARSIC [14]
I'm going to use the slope formula which is
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points the line goes through

Slope of line PQ
m = (y2 - y1)/(x2 - x1)
m = (-6 - 8)/(-5 - (-7))
m = (-6 - 8)/(-5 + 7)
m = (-14)/(2)
m = -7
The slope of line PQ is -7

Slope of RS
m = (y2 - y1)/(x2 - x1)
m = (0 - (-5))/(-2 - 3)
m = (0 + 5)/(-2 - 3)
m = (5)/(-5)
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The slope of line RS is -1

Because the slopes are NOT equal (one is -7 and the other is -1), this means the lines are NOT parallel.

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Answer: Choice B) No, the lines have unequal slopes

5 0
3 years ago
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skelet666 [1.2K]
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3 years ago
The line segment formed by joining points A (-1,y) B (0,0), and the line segment joined by forming points C (6,3) D (8,9) share
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Answer:

<h3>-3</h3>

Step-by-step explanation:

For two parallel lines. their slope are equal

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For line B;

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since their slope are equal hence mA = mB

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3 years ago
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PIT_PIT [208]

Answer:

<h3>x = 27.5</h3>

Step-by-step explanation:

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6 0
2 years ago
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