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Zina [86]
3 years ago
9

Please help me with this rate problem. ​

Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0

Answer:

  d.  12:30 - 1:30 pm

Step-by-step explanation:

One way to work this is to plot the points on a graph and look for the segment with the greatest slope. That is the segment between 12:30 and 1:30 when the number of swimmers increased by 9 in one hour.

In the first interval (10:30 - 12:30), the number of swimmers increased by 10 in 2 hours, or an average of 5 per hour.

In the second interval (12:30 - 1:30), the number of swimmers increased by 9 in 1 hour, or 9 per hour.

In the third interval (1:30 - 3:30), the number of swimmers increased by 5 in 2 hours, or an average of 2.5 per hour.

In the last interval (3:30 - 5:30), the number of swimmers increased by 10 in 2 hours, or an average of 5 per hour.

The highest rate of increase is 9 per hour in the second interval, 12:30 to 1:30.

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Find the measure of the missing angles.
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Applying the vertical angle theorem, the measure of the missing angles are:

e = 31

f = 72

d = 77

<h3>What is the Vertical Angle Theorem?</h3>

The vertical angles theorem states that two angles that are vertically opposite to each other have equal measures.

Angle e and 31 degrees are vertical angles. Therefore, based on the vertical angles theorem,

e = 31 degrees.

Also, d = 77 degrees [vertical angles theorem].

e + 77 + f = 180 degrees [straight line angles have a sum of 180 degrees].

Substitute the value of e into the equation

31 + 77 + f = 180

108 + f = 180

Subtract 108 from both sides

108 + f - 108 = 180 - 108

f = 72 degrees.

Learn more about the vertical angle theorem on:

brainly.com/question/24839702

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