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butalik [34]
3 years ago
10

The midpoint of a line can be found using either a compass and straightedge construction or a straightedge and tracing paper con

struction true or false?
Mathematics
2 answers:
natka813 [3]3 years ago
7 0

Answer:

The given statement:

The midpoint of a line can be found using either a compass and straightedge construction or a straightedge and tracing paper construction is a TRUE statement.

Step-by-step explanation:

The construction of a mid-point with the help of a compass is same as the construction of perpendicular bisector of a line segment.

Also,

To construct the midpoint of a line segment using straightedge and a tracing paper

  • ,start by drawing a line segment on a  paper.
  • Next, fold the paper so that the endpoints of the line segment overlap.
  • This creates a crease in the paper.
  • The intersection of the crease and the original line segment is the midpoint of the line segment.

Hence, the given statement is  a TRUE statement.

Klio2033 [76]3 years ago
4 0
The midpoint of a line can be found using either a compass and straightedge <span>construction or a straightedge and tracing paper construction.
</span>true :) 


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The area of a rectangular piece of cardboard is represented by
Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

A = wl

w(2w + 3) = 9

From this, we get that:

l = 2w + 3, A = 9

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question:

w(2w+3) = 9

2w^2 + 3w - 9 = 0

Thus a quadratic equation with a = 2, b = 3, c = -9

Then

\Delta = 3^2 - 4(2)(-9) = 81

w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5

w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

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3 years ago
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Answer:

i think 60

Step-by-step explanation:

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