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valentina_108 [34]
4 years ago
8

The measure of one of the angles formed by two parallel lines and a transversal is 45°. Is it possible for the measure of any of

the other seven angles to be equal to 55°? Explain.
Mathematics
1 answer:
liubo4ka [24]4 years ago
4 0

Answer: No


Step-by-step explanation:

Three of the other angles are 45°. The other four are 180° - 45°, which is not 55°. At the intersection of two lines, opposite angles are equal and adjacent angles are complementary, so two adjacent angles add to 180°. Adding a parallel line gives four more angles identical to the first four.

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Subtract and write out in minutes and seconds 87 seconds from 100 seconds
alexandr402 [8]

Answer:

  00:13  mm:ss

Step-by-step explanation:

There are 60 seconds in a minute. This fact can be used to convert the time period(s) to minutes and seconds either before or after you do the subtraction.

<h3>Difference</h3>

It is often convenient to do arithmetic with all of the numbers having the same units. Here, we are given two values in seconds and asked for their difference.

  100 s - 87 s = (100 -87) s = 13 s

The difference between the two time periods is 0 minutes and 13 seconds.

<h3>Conversion</h3>

If you like, the numbers can be converted to minutes and seconds before the subtraction. Since there are 60 seconds in a minute, the number of minutes is found by dividing seconds by 60. The remainder is the number of seconds that will be added to the time in minutes:

  87 seconds = ⌊87/60⌋ minutes + (87 mod 60) seconds

  = 1 minute 27 seconds

  100 seconds = ⌊100/60⌋ minutes + (100 mod 60) seconds

  = 1 minute 40 seconds

Then the difference is found in the same way we would find a difference involving different variables. (A unit can be treated as though it were a variable.)

  (1 min 40 s) -(1 min 27 s) = (1 -1 min) + (40-27 s) = 0 min 13 s

The difference between the two time periods is 0 minutes and 13 seconds.

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3 0
3 years ago
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Step-by-step explanation:

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3 years ago
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