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aniked [119]
3 years ago
12

What is the next step in this construction?

Mathematics
2 answers:
bezimeni [28]3 years ago
8 0

<u>Answer:</u>

The correct answer option is B. Construct a line perpendicular to XP through point A.

<u>Step-by-step explanation:</u>

We are given an incomplete figure of construction of a perpendicular line and we are to determine whether which of the given answer options is the next step in the construction.

From the given marks, we can deduce that a perpendicular line to XY is being constructed, passing through P.

So the next step must be to construct a line perpendicular to XP through point A to complete the construction.

IrinaVladis [17]3 years ago
6 0
<h2>Answer:</h2>

The next step in the construction is:

  •   Construct a line perpendicular to XP through point A.
<h2>Step-by-step explanation:</h2>

From the given construction we may observe that the construction is of a line segment perpendicular to line segment XY.

The steps of construction are as follows:

1) Take a line segment XY.

2) Take a compass and open the  compass more than half the length of XY and then make the arc by keeping the compass one's at X and then at Y.

3) The point where the arc meet draw a straight line such that it pass through the point P.

4) AP will be the perpendicular line to XY and point P is the mid-point of XY.

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Choose a system of equations with the same solution as the following system:
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Option A.

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We are given 6x+2y =-6 ......(1) and 3x-4y=-18 .....(2)

Solving equations (1) and (2) we get

12x+3x =-30, ⇒x= -2 and from equation (1), 2y= -6-6(-2) =6, ⇒ y=3

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A) Solving the equations 8x+4y = -4 ....... (3)and 17x+2y =-28, we get  

8x -34x = -4 -(-56) =52, ⇒-26x =52, ⇒x=-2 and from equation )(3), we get -16+4y =-4, ⇒ y=3

Therefore, the solution x=-2 and y =3 match with the original solution.

B)Solving the equations 12x + 4y = 12 ....... (4)and 21x + 2y = −36, we get  

12x -42x = 12 -(-72) =84, ⇒-30x =84, ⇒x=-84/30.

Therefore, the solution x=-84/30 does not match with the original solution.

C) Solving the equations 6x + 8y = −36 ....... (4) and 15x + 6y = −60, we get 18x -60x = -108 -(-240) =132, ⇒-42x =132, ⇒x=-132/42

Therefore, the solution x=--3  do not match with the original solution.

D) Solving the equations 6x + y = 15 ....... (5) and 15x − y = −9, we get 6x +15x = 6, ⇒21x =6, ⇒x=2/7  

Therefore, the solution x=2/7  do not match with the original solution.

Therefore, option A) will have the same solution. (Answer)

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2 years ago
Determine whether the value is from a discrete or continuous data set. Number of coins in a jar is 78 number of coins in a jar i
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Determine whether the value is from a discrete or continuous data set. Number of coins in a jar is 78 number of coins in a jar is 78

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If a variable can take on any value between two specified values, it is called a continuous variable; otherwise, it is called a discrete variable.


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