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GuDViN [60]
3 years ago
5

The horizontal angle between objects can be measured by: _____

Mathematics
1 answer:
NemiM [27]3 years ago
6 0
Even though a protractor is also used, the best way to meaure an horizontal angle between objects is by means a magnetic compass, used in topography
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For A (1, –1), B (–1, 3), and C (4, –1), find a possible location of a fourth point, D, so that a parallelogram is formed using
katrin [286]

The possible coordinates for the vertex D of the parallelogram could be (-4, 3)

It is given that A(1, –1), B (–1, 3), and C (4, –1) are the three vertices of the parallelogram.

Let us assume that the vertices are in the order A, C, B, and D where the coordinates of D are (a, b).

In this scenario, if we join AB and CD, they will become the diagonals of the parallelogram ABCD.

According to the properties of a parallelogram, diagonals bisect each other.

Hence, mid-point of AB = mid-point of CD

Now, according to the mid-point theorem, if mid-point of AB is given as (x,y), then,

x = (x₁ + x₂)/2 and y = (y₁ + y₂)/2

Here, for AC,

x₁ = 1, y₁ = -1

x₂ = -1, y₂ = 3

Then, x = ( 1 - 1)/2 and y = (-1 + 3)/2

(x, y) ≡ (0, 1)  ............. (1)

Since (x, y) is also the mid-point of CD, we also have,

x₁ = 4, y₁ = -1

x₂ = a, y₂ = b

Then, x = (4 + a)/2 and y = (-1 + b)/2

(x, y) ≡ ((4 + a)/2, (-1 + b)/2) ................... (2)

From (1) and (2),

(4+a)/2 = 0 and (-1+b)/2 = 1

4+a = 0 and (-1+b) = 2

a = -4 and b = 3

Hence, the fourth vertex D of the parallelogram can be possibly located at (-4, 3)

Learn more about a parallelogram here:

brainly.com/question/1563728

#SPJ1

8 0
2 years ago
The entire pink figure has been transformed to create the new blue image. Describe the transformation that has taken place.
Leno4ka [110]

Answer:

D. (bottom right)

Step-by-step explanation:

If there is a line where y = x, that means that y and x can both equal 1, 2, 3, -1, -2, -3, etc. They are just always the same. This line, then, would pass through (just for example) (-4, -4) and (4, 4). If you reflect the pink figure across that line, you will get the blue figure. Hope this helps!

6 0
3 years ago
The graph of a system of equations with the same slope and the same y-intercepts will have no solution
Bumek [7]

Answer:

False.

Step-by-step explanation:

If they have the same slope and same intercept they will have the same line. So they will have infinite solutions.

5 0
3 years ago
Read 2 more answers
Please answer quickly
baherus [9]
No because 2.95 times 2 is not 4.50
6 0
3 years ago
Solve for x x-3/4=x/10
BARSIC [14]
Given  <span>x-3/4=x/10  find the LCD.  It is 20, as both 4 and 10 divide evenly into 20.

Then you have 20x - 15 = 2x, or 18x = 15, or x = 15/18, or x =5/6 (answer).</span>
3 0
3 years ago
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