Answer: 1,2,3, and 5
Step-by-step explanation:
The isometries that preserve a shapes angles and line segments making the pre image congruent to the (post) image are :
Reflections, rotations, translations
These are rigid transformations. Think of your ruler. If you flip it, slide it, or rotate it around, did the ruler change shape? No. Just positions.
If you dilate something, you are either making it larger or smaller, therefore changing the size of the shape.
Anything that has dilation in its transformation does not have congruent shapes.
<h2>-2+5i and 2+5i</h2>
Step-by-step explanation:
Let the complex numbers be
.
Given, sum is
, difference is
and product is
.
⇒ 
⇒ 


Hence, all three equations are consistent yielding the complex numbers
.
<h3>
Answer: False</h3>
Explanation:
If the sample is biased, then it does not represent the population. A biased sample favors one or more groups over others.
For example, if the sample consisted of only men, then the sample is biased toward men and leaves out women from the group. Hence, this sample does not represent everyone.
Answer:
x=11
Step-by-step explanation:
M is the midpoint this means that we can set AM and BM equal to eachother, once this is done we can solve for x
9x-6=6x+27 (set equal to eachother)
9x=6x+33 (add 6)
3x=33 (subtract 6x)
x=11 (divide by 3)
15x^2 = 12x
divide each side by x
15x = 12
now divide each side by 15
x = 12/15 or 4/5 which is also 0.8