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kondaur [170]
2 years ago
8

What is the value of x

Mathematics
1 answer:
amm18122 years ago
6 0

Answer:

x=123

Step-by-step explanation:

x is across from the angle that measures 123 degrees. Therefore, they are vertical angles, and are congruent.

x=123

Additionally, 57 and x are on a straight line. This means they are supplementary and add to 180 degrees

57*x=180

Subtract 57 from both sides to get x by itself.

x=123

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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 20 N acts on
jeka94

The acceleration of the object will be 10 m/s²

Step-by-step explanation:

Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other

  • If y varies directly with x, then y ∝ x
  • y = k x, where k is the constant of variation

For a moving object, the force acting on the object varies directly with the object's acceleration.

Assume that the force is F and the acceleration is a

∵ F ∝ a

∴ F = k a

∵ F = 20 newtons

∵ a = 4 m/s²

- Substitute these values in the equation above to find k

∵ 20 = k (4)

∴ 20 = 4 k

- Divide both sides by 4

∴ k = 5

- Substitute the value of k in the equation

∴ F = 5 a ⇒ equation of variation

∵ F = 50 Newtons

∵ F = 5 a

∴ 50 = 5 a

- Divide both sides by 5

∴ 10 = a

∴ a = 10 m/s²

The acceleration of the object will be 10 m/s²

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

7 0
3 years ago
Find the diameter and the circumference of the circle below r=8cm
vfiekz [6]

Answer:

diameter = 16cm, circumference ≈ 50.27

Step-by-step explanation:

The radius is 8 centimeters, so the diameter should be twice of that because the radius is the distance from the middle of the circle to the edge while the diameter is from edge to edge passing through the middle of the circle. Therefore,

8 · 2 = 16cm

The equation for the circumference of a circle is 2πr. In this case, because nothing else is specified about π, we use 3.14. So,

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Hope this helped! Have a great day. ^^

3 0
2 years ago
What is the solution to x-4y=-5 and -x+6y=7
Triss [41]
<span>  x - 4y = -5
-x + 6y = 7
---------------add
       2y = 2
         y = 1

</span>     x - 4y = -5 
  x - 4(1) = -5 
      x - 4 = -5
           x = -1

answer
x = -1 and y = 1
8 0
3 years ago
M Find the measure of the angles.
bearhunter [10]

Answer:

Since the interior angles of a triangle add up to be 180 degrees, I set up the equation like so:

x + 59 + x + 51 + 84 = 180 My equation

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It has occurred to me that I am finding x here (it still makes no sense to get a negative number) but this is the only equation I know to set up.

Notes:

This is for geometry homework and I realize just asking you to solve my problems is academically dishonest off topic if I have not put genuine effort into the question, which I have (put effort in, that is). I have put a lot of mental effort into figuring this out, though, so I will tell you what I did and hopefully you can tell me where I went wrong and how to correct my mistake, because I think it is obvious I made one. For the record I accidentally deleted my math notes from my iPad and Googling the question this morning produces hard to understand results. My geometry teacher was unavailable while I was working last night due to my lack of internet connection.

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2 years ago
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