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kozerog [31]
3 years ago
15

Help me and you get 40 points

Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:

The angle 6 measures 54 degrees

Step-by-step explanation:

Angle 6 is congruent to angle 7 ("-2x+34") as it is an opposite angle in straight line intersection. But angle 6 is congruent to angle 2 (-9x-36) due to the two horizontal lines being parallel. So we can write the following equality to determine the value of x:

-2x + 34 = -9x -36

7x = -70

==> x = -10

Now we can answer the question:  the angle 6 is

-2x + 34 = -2(-10)+34 = 54 degrees

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The width of a rectangle is the length minus 2 units. The area of the rectangle is 15 units. What is the width, in units, of the
Novay_Z [31]

Answer:

The answer to your question is width = 3

Step-by-step explanation:

Data

width = w = ?

length = l = ?

Area = 15 units

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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3 years ago
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Answer:

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Step-by-step explanation:

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The given coordinate (-10, -1) are your (x1, y1), so:

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All you have to do is substitute the given information into the formula:

  • y -(-1) = -1(x -(-10)), which will simplify to y + 1 = -(x + 10)

Remember: Double negatives make a positive so if the given coordinates for (x1, y1) are negatives, they will be added to y or x in point-slope form, not subtracted.

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The slope of a vertical line is 0

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Converting percent to decimal:
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