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Flauer [41]
3 years ago
5

Mhanifa can you please help? Thanks :)

Mathematics
1 answer:
miskamm [114]3 years ago
6 0

Answer:

<h3>Question 1</h3>

Sum of interior angles of a pentagon

  • 4x + 60 = 180(5 - 2)
  • 4x + 60 = 540
  • 4x = 480
  • x = 120
<h3>Question 9</h3>

Angles H and G are same as the trapezoid is isosceles

  • 8x = 10x - 38
  • 2x = 38
  • x = 19
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T_n = 160(0.05)^(n - 1)

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Step-by-step explanation:

We will use geometric progression to solve this question.

Formula for nth term of a GP is;

T_n = ar^(n - 1)

We are told the population of its high school decreases by 5% each year.

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Thus,T_n = 160(0.05)^(n - 1)

Where n is number of years after now.

We want to find the number of years before the class will have 100 students

Thus;

160(0.05)^(n - 1) = 100

(0.05)^(n - 1) = 100/160

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(n - 1) = 0.47/2.9957

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