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NARA [144]
3 years ago
10

Given the diagram below, Hannah writes m 1+ m 4 = 180°, m 2 + m 5 = 180°, and m 3+ m 26 = 180°. Which of the following reasons a

llows her to write these sums?

Mathematics
1 answer:
Paladinen [302]3 years ago
4 0

Answer:

A. Definition of linear pair

Step-by-step explanation:

A linear pair of angles is formed when two lines intersect. Since angle on a straight line = 180°, angles of a linear pair sum up to 180°.

angles 1 and 4, angles 2 and 5, angles 3 and 6 are all linear pairs. Each pair = 180°.

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3 0
3 years ago
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Tim Worker is doing his budget. He discovers that the average electric bill for the year was $206.00 with a standard deviation o
ivanzaharov [21]

Answer:

  • -2.2
  • 1.4%
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<h3>Step-by-step explanation:</h3>

The z-value is computed from ...

... z = (x -µ)/σ

... z = (184 -206)/10 = -2.2 . . . . for $184

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You can look up these values in a normal distribution table, or you can use an appropriate calculator to find the corresponding percentiles.

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_____

<em>Comment on the calculator display</em>

The difference that got cut off from the display in the attachment is ...

... 0.2603496703

The <em>normalcdf( )</em> function requires a lower limit. Using -8 standard deviations is effectively equivalent to -∞ for this purpose, as any lower number has no effect on the least-significant digits of the result.

7 0
3 years ago
Help please!! Thank you :)
Softa [21]
My answer that i have gotten is 280
3 0
3 years ago
A lift driver charges $5.25 for the first mile of the trip and$1.25 each mile after that. He charges the customer $24 for the ri
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3 0
3 years ago
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What is the solution to the system of equations?
o-na [289]

Answer:

x = -5

y = 4

Step-by-step explanation:

3x + 4y = 1    /*(-4)

4x + 5y = 0   /*3

---------------------

-12x - 16y = -4

12x + 15y = 0     +

---------------------

-y = -4

y = 4

---------------------

12x = -15y

12x = -60

x = -5

---------------------

7 0
3 years ago
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