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Ratling [72]
2 years ago
8

Find the value of x. What kind of angles are these?

Mathematics
2 answers:
VLD [36.1K]2 years ago
5 0

Answer:

\displaystyle Corresponding\:Angles; 40 = x

Step-by-step explanation:

Corresponding Angles are <em>congruent</em>, therefore you set both angle measures equal to each other:

\displaystyle 135° = [3x + 15]° → 120 = 3x; 40 = x

I am joyous to assist you at any time.

marshall27 [118]2 years ago
5 0

Hey there!

The answer to your question is x = 40

These are two parallel lines cut by a transversal, which means that they are corresponding angles and, therefore, (3x + 15) is equal to 135°:

3x + 15 = 135    

Subtract 15 from both sides:

3x = 120

Divide both sides by 3:

x = 40

Have a terrificly amazing day!

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Compute successive differences of the terms.

If they are all the same, the sequence is arithmetic and the common difference is the difference you have found.

If successive pairs of differences have the same ratio, the sequence is geometric and the common ratio is the ratio you have determined.


Example of arithmetic sequence:
  1, 3, 5, 7
Successive differences are 3-1 = 2, 5-3 = 2, 7-5 = 2. All the differences are 2, which is the common difference of the sequence.

Example of geometric sequence:
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Successive differences are -3-1 = -4, 9-(-3) = 12, -27-9 = -36. These are not the same, so the sequence is not arithmetic. Ratios of successive pairs of differences are 12/-4 = -3, -36/12 = -3. These are the same, so the sequence is geometric with common ratio -3.
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3 years ago
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Answer:

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