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tresset_1 [31]
2 years ago
11

HELPPP WILL GIVE BRAINLIEST!! How do I construct a line segment whose length is equal to the AVERAGE of the length of the 2 give

n line segments??? I can only use a compass and a straight edge.
Mathematics
1 answer:
tino4ka555 [31]2 years ago
6 0

Answer:

  Bisect the segment that is the sum of the given segments

Step-by-step explanation:

You want to construct a line segment whose length is the average of two given line segments.

<h3>Solution</h3>

You know that the average of two lengths is half their sum. To construct a line that is half the sum ...

  1. Construct a segment equal to the sum. For example, from point X on a line, mark XY = AB to the left of X, and XZ = CD to the right of X. Segment YZ will be the sum of AB and CD.
  2. Bisect it. Draw arcs above and below YZ with the same radius equal to more than half of YZ. The line through the intersection points of each pair of arcs will be the perpendicular bisector of YZ. If it intersects YZ at Q, then YQ = QZ = average of AB and CD.
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If the length of one side is x,

4x=22.2

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Hope this helps!

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Simplify the radical expression square root of 81x^4
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Just 32, 34 and 36 please
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Answer:

32 is k=2.2

34 is h=20

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4 years ago
Simplify the expression:<br> 5k2+3k2–4k2+k2
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7 0
3 years ago
Read 2 more answers
Please help.<br> Is algebra.
Dvinal [7]

Answers:

  • Blank 1:  4
  • Blank 2:  -1

So the solution is (x,y) = (4, -1)

=============================================================

Work Shown:

6x + 7y = 17

6x + 7( y ) = 17

6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11

6x - 21x + 77 = 17

-15x = 17-77

-15x = -60

x = -60/(-15)

x = 4

We'll use this x value to find y

y = -3x+11

y = -3(4)+11 ... replace x with 4

y = -12+11

y = -1

We have  x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)

------------------------

To check the solution, we plug x = 4 and y = -1 into each equation

Plugging the values into the first equation leads to...

y = -3x+11

-1 = -3(4)+11

-1 = -1

This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.

We'll need to verify the second equation as well.

6x + 7y = 17

6(4) + 7(-1) = 17

24 - 7 = 17

17 = 17

We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.

3 0
4 years ago
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