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dexar [7]
3 years ago
7

above ground electric wires and transformers are mounted on utility poles. a support cable, called a guy wire, is sometimes atta

ched to give the pole stability. if the guy wire makes an angle of 60 degrees with the ground, what is the measure of the angle formed by the guy wire and the pole? assume that the ground is level.
Mathematics
1 answer:
kifflom [539]3 years ago
3 0
The angle measure is 30 degrees.

Drawing out an image, the angle the is between the ground at the hypotenuse (the slanted guy wire), it creates a triangle with the utility pole that was already on the side. The angle between the utility pole and the ground is obviously 90 degrees because it is assumed to be at a straight standing stance.
Normally these two given angles would be added and then subtracted from 180 degrees (the law of Sum of Angles in a Triangle).
60 + 90 = 150   ...   180 - 150 = 30
Also, this can be supported by the 30-60-90 Theorem, which states that if a triangle contains 2 of the 3 angles, the other angle will be the missing one.
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ololo11 [35]

For the cut glass pieces to be rectangular in shape, the glass cutter should ensure:

  1. All four interior angles = 90° each.
  2. Opposite sides are parallel and equal to each other.
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<h3>Properties of a Rectangle</h3>
  • All four angles of a rectangle are 90° each.
  • There are two pairs of parallel sides that are equal in length.
  • The diagonals bisect each other and are of equal length.

Thus, to ensure the cut glass pieces are rectangular in shape, he should ensure the following:

  1. Make the four interior angles 90° each.
  2. The opposite sides should be parallel and equal to each other.
  3. The diagonals should be of the same length and should bisect each other.

Learn more about properties of rectangle on:

brainly.com/question/2835318

4 0
2 years ago
2x+3y=41 and 5x+4y=85
Sever21 [200]

Answer:

5x+4y=85-

 Slope = -2.500/2.000 = -1.250

 x-intercept = 85/5 = 17

 y-intercept = 85/4 = 21.25000

2x+3y=41-

 Slope = -1.333/2.000 = -0.667

 x-intercept = 41/2 = 20.50000

 y-intercept = 41/3 = 13.66667

5 0
3 years ago
Help help help help due tmr
Helga [31]

Answer:

the answer to 5 is 1

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6 0
3 years ago
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This system of equations has an infinite number of solutions. Define the solutions algebraically, and allow z to represent all r
Soloha48 [4]

Answer:

x = 12z + 1  and y = 10z - 1

Step-by-step explanation:

To solve the system of equations, we can use the substitution method

If we call

3x - 4y + 4z = 7 I

x - y - 2z = 2 II

2x - 3y + 6z = 5 III

Clearing II  x = 2 + y + 2z

Now, replacing II in III

2(2 + y + 2z) - 3y +6z = 5

4 + 2y + 4z - 3y + 6z = 5

10z - y = 1 from here y = 10z - 1

Finally, replacing y in I

3x - 4(10z - 1) + 4z = 7

3x -40z + 4 + 4z = 7

3x - 36z = 3

3x = 36z + 3

x = 12z + 1

Done

7 0
3 years ago
Jeremy wants to give a 20% gratuity to his cab driver. His fare was $35.50. What is the total amount he will pay the driver?
Anna [14]
$42.60. You multiply 35.50 by .20 (that's decimal version of 20%) which equals 7.10. Then you add 35.50+7.10=42.60
8 0
3 years ago
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