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Answer:
A line segment is <u><em>always</em></u> similar to another line segment, because we can <u><em>always</em></u> map one into the other using only dilation a and rigid transformations
Step-by-step explanation:
we know that
A<u><em> dilation</em></u> is a Non-Rigid Transformations that change the structure of our original object. For example, it can make our object bigger or smaller using scaling.
The dilation produce similar figures
In this case, it would be lengthening or shortening a line. We can dilate any line to get it to any desired length we want.
A <u><em>rigid transformation</em></u>, is a transformation that preserves distance and angles, it does not change the size or shape of the figure. Reflections, translations, rotations, and combinations of these three transformations are rigid transformations.
so
If we have two line segments XY and WZ, then it is possible to use dilation and rigid transformations to map line segment XY to line segment WZ.
The first segment XY would map to the second segment WZ
therefore
A line segment is <u><em>always</em></u> similar to another line segment, because we can <u><em>always</em></u> map one into the other using only dilation a and rigid transformations
Since the opposite operation of addition is subtraction you subtract. So you add 14 both sides and now z is by itself. finally just add 2 and 14 which is 16
Answer:
1590.4 square ft
Step-by-step explanation:
r=30 so you need to multiply that by 25% (30*.25=7.5)
30-7.5=22.5
A= pi(r)^2
A=pi*(22.5)^2
A=506.25pi
A=1590.43 or 1590.4 (to the nearest tenth)
The lengths of the first, second and third piece are respectively 8 ft, 16 ft and 32 ft
<h3>How to solve Algebra word Problems?</h3>
Let the length of the first piece be x.
Let the length of the second piece be 2x
Let the length of the thrid piece be 4x
Since the total length of the piece is 56 ft, then we can say that;
x + 2x + 4x = 56
7x = 56
x = 56/7
x = 8 ft
Thus, length of first piece = 8 ft
Length of second piece = 2 * 8 = 16 ft
Length of third piece = 4 * 8 = 32 ft
Thus, the lengths of the first, second and third piece are respectively 8 ft, 16 ft and 32 ft
Read more about Algebra Word Problems at; brainly.com/question/13818690
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