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
2!!! I better get 5 points
Answer: 42.190
Step-by-step explanation:
From the question, the population variances are not equal. The calculation has been attached in the picture below.
The answer is 42.190 to 3 decimal places.
Answer:
24mm
Step-by-step explanation:
since it's a similar triangle, we solve;
EH/EG=DH/DG
EH=56mm;
EG=44.8mm;
DH=35mm;
DG=X+4.
Fix them,
56/44.8=35/x+4
cross multiply
56(x+4)=35×44.8
56x+224=1,568
collect the like term
56x=1,344
divide via by 56
56x/56=1344/56
x=24mm
Check/ verify
EH/EG=DH/DG
56/44.8=35/24+4
56/44.8=35/28
CROSS MULTIPLY OVER THE EQUAL SIGN.
56×28=35×44.8
1,568=1,568
THAT'S CORRECT.
