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Mkey [24]
3 years ago
8

Pls help very confused​

Mathematics
1 answer:
irinina [24]3 years ago
6 0

9514 1404 393

Answer:

  • 8, 20, 32, 44, 56
  • arithmetic

Step-by-step explanation:

The words "common difference" tell you this is an arithmetic sequence. A geometric sequence will have a <em>common ratio</em> between terms.

__

The common difference is added to each term to get the next.

  first term: 8 -- given

  second term: first term + common difference = 8 + 12 = 20

  third term: 20 +12 = 32

  fourth term: 32 +12 = 44

  fifth term: 44 +12 = 56

The first 5 terms of this arithmetic sequence are 8, 20, 32, 44, 56.

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Let x represent the smaller angle.
Let y represent the larger angle.

The problem states that the larger angle measures five degrees more than four times the measure of the smaller angle.
With this given information, we can create the following equation.

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Also, they a supplementary, meaning that they add up to 180. We can create another equation.

x+y=180

Since we have two linear equations and we want to find the solution, we have a system of linear equations. Let's solve this system by using the substitution method.

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Divide both sides by 5.

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The smaller angle has a measure of 35 degrees and the larger one has a measure of 145 degrees. Have an awesome day! :)
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Step-by-step explanation:

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