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photoshop1234 [79]
3 years ago
10

Which of the following steps is included in the construction of a perpendicular line through a point on a line?

Mathematics
1 answer:
Molodets [167]3 years ago
6 0

Answer:

Connect arcs that are above the original line with a straightedge ⇒ 2nd

Step-by-step explanation:

* <em>Lets revise how to construct a perpendicular line through a point</em>

<em>  on the line</em>

- <u>Given:</u> line AB and point P lies on it

1. Place your compass pin at P and draw an arc of any size below  

  AB that crosses the line twice at points C and D  

2. Stretch the compass to a larger distance

3. Place the compass pin on point C and draw a small arc above 

   the line  

4. Without changing the distance of the compass place the  

   compass pin on point D and draw another small arc intersects

   the small arc  from C at point E

5. <u>Using a straightedge, to join P which is on the original line and E </u>

    <u>which is the intersection point of the two small arcs above the </u>

    <u>original line,</u> then PE is perpendicular to AB  at E

- From the steps up the step is including in the construction of a

 perpendicular line through a point on a line is:

 <u><em>Connect arcs that are above the original line with a straightedge</em></u>

* <em>Remember:</em>

- The step of Connect arcs that are above and below the given line

  with a straightedge is in the construction a perpendicular from a

  point off the line

- The step of Create arcs on either side of a point that is off the

  given line is in the construction of a perpendicular bisector

  of a line

- The step of Create a copied angle by using the first two lines as the

  original angle in the construction of the parallel lines

- Look to the attached figure to help you

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Twice the sum of a number and 3 times a second number is 4. The difference of ten times the seco
34kurt

Two numbers that gives twice the sum of a number and 3 times a second number is 4. The difference of ten times the second number and five times the first is 90 are -10  and 4

Given :

Twice the sum of a number and 3 times a second number is 4. The difference of ten times the second number and five times the first is 90.

Let a  and b be the two  unknown numbers

Lets frame equation using the given statements

Twice the sum of a number and 3 times a second number is 4.

2(a+3b)=4\\a+3b=2

the difference of ten times the second number and five times the first is 90

10b -5a=90\\Divide \; by \;5 \\2b-a=18

Now use these two equations to solve a  and b

a+3b=2\\-a+2b=18

Add both the equations

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Now find out 'a'

a+3b=2\\a+3(4)=2\\a+12=2\\a=2-12\\a=-10

The two numbers are -10  and 4

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Answer:

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Step-by-step explanation:

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