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tensa zangetsu [6.8K]
3 years ago
7

Using the pattern, create an equation (rule) that describes this pattern.

Mathematics
1 answer:
Serggg [28]3 years ago
3 0

Answer:

  • a(n) = n² + 4n + 6

Step-by-step explanation:

<u>Stage 1</u>

  • 9 + 2 = 3² + 2

<u>Stage 2 </u>

  • 16 + 2 = 4² + 2

<u>Stage 3</u>

  • 25 + 2 = 5² + 2

<u>Equation for stage n:</u>

  • a(n) = (n + 2)² + 2 = n² + 4n + 4 + 2 = n² + 4n + 6
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Two angles are supplementary. One angle
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The measures of both the angles are 163 degrees and 17 degrees

<h3><u>Solution:</u></h3>

Given that two angles are supplementary

Let one of the angle be "x"

Let the other angle be "y"

Two angles are supplementary when add up to 180 degrees

x + y = 180 ----- eqn 1

Given that One angle  measures 10 more than 9 times the other

x = 10 + 9y ----- eqn 2

Substitute eqn 2 in eqn 1

10 + 9y + y = 180

10 + 10y = 180

10y = 180 - 10

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<h3>y = 17</h3>

Substitute y = 17 in eqn 2

x = 10 + 9(17)

x = 10 + 153

<h3>x = 163</h3>

Thus the measures of both the angles are 163 degrees and 17 degrees

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