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LekaFEV [45]
3 years ago
10

Tell whether the angles are complementary or supplementary. Then find the value of x.

Mathematics
2 answers:
gladu [14]3 years ago
8 0

Answer:

  • 7) x = 5
  • 8) x = 20

Step-by-step explanation:

Complementary angles form a right angle and supplementary angles form a straight angle.

<h3>#7</h3>

<u>Complementary:</u>

  • 65 + 5x = 90
  • 5x = 25
  • x = 5
<h3>#8</h3>

<u>Supplementary:</u>

  • 2x + 6x + 20 = 180
  • 8x = 160
  • x = 20
Tomtit [17]3 years ago
6 0

Step-by-step explanation:

1)

Since we know that sum of two complementary angles are 90⁰

=> 65 + 5x = 90

=> 5x = 90 - 65

=> 5x = 35

=> x = 35/5

=> x = 7⁰

2)

Since we know that sum of two supplementary angle are 180

=> 2x + 6x + 20 = 180

=> 8x = 180 - 20

=> 8x = 160

=> x = 160/8

=> x = 20

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Answer:

The answer to your question is width = 3

Step-by-step explanation:

Data

width = w = ?

length = l = ?

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Process

1.- Write equations to help to solve this problem

   Area of a rectangle = width x length

                                    = w x l                         Equation l

   width = length - 2

         w = l - 2                                                  Equation ll

2.- Substitution

                            A = w x l

                          15 = (l - 2)(l)

3.- Expand

                          15 = l² - 2l

                           l² - 2l - 15 = 0

2.- Solve for l

-Find the prime factors of -15

                          15   3

                            5  5

                             1

     15 = 3 x 5

3.- Factor l² -2l - 15 = 0

                (l - 5)(l + 3) = 0

4.- Find the values of l

                 l₁ - 5 = 0            l₂ + 3 = 0

                 l₁ = 5                 l₂ = -3

The length if the rectangle = 5, it could not be -3, because there are no negative lengths.      

5.- Find w

                   w = l -2

                   w = 5 - 2            

                   w = 3 units

                           

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