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worty [1.4K]
3 years ago
10

Find the perimeter of the triangle with vertices D(3, 4), E(8, 7), and F(5, 9). Do not round before calculating the perimeter. A

fter calculating the perimeter, round your answer to the nearest tenth.
 
Mathematics
1 answer:
Norma-Jean [14]3 years ago
6 0

Answer:

14.6 to the nearest tenth.

Step-by-step explanation:

Length of DE = √([ 7-4)^2 + (8-3(^2] = √(34)

Length of EF = √([ 9-7)^2 + (5-8)^2] = √(13)

Length of FD = √([ 9-4)^2 + (5-3)^2] = √(27)

So the perimeter = √(34) +√(13) +  √(27)

= 14.63

= 14.6 to the nearest tenth.

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Every year a man is paid $500 more than the previous year. If he receives $17800 over four years, what was he paid in the first
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The amount paid to the man in the first year given the total he received in four years is $3,700.

<h3>Equation</h3>

  • Amount paid in the first year = x
  • Amount paid in the second year = (x + 500)
  • Amount paid in the third year = x + 500 + 500

= (x + 1000)

  • Amount paid in the fourth year = x + 500 + 500 + 500

= (x + 1500)

  • Total payment = $17800

Total payment = first year + second year + third year + fourth year

x + (x + 500) + (x + 1000) + (x + 1500) = 17,800

  • open parenthesis

x + x + 500 + x + 1000 + x + 1500 = 17800

  • collect like terms

4x + 3000 = 17,800

4x = 17,800 - 3000

4x = 14,800

  • divide both sides by 4

x = 14,800/4

x = $3,700

Therefore, $3,700 was paid to the man in the first year.

Learn more about equation:

brainly.com/question/2972832

#SPJ1

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