Answer:
pls dont kill me for wacky lines. this shall just give you a basic idea. the important part is the 90° angle
Answer:
170
Step-by-step explanation:
There are three times as many teaching assistants as research assistants. Find the number of research assistants employed by the university. Hence the number of research assistants is 170.
X + (x − 2) + (x − 4) = ? ; In which
<span>
x + x </span>− 2 + x − 4 ;
Combine the "like terms" ;
x + x + x = 3x ;
− 2 − 4 = −6 ;
So we have: "3x − 6" as the sum. ;
___________________________
The sum of three consecutive odd integers, in which "x" is the greatest integer; is: "3x − 6" .
_____________________________________________
Note: The three consecutive odd integers, from least to greatest, are:
"(x − 4)" , "(x − 2)" , and "x" .
The sum is: "(3x − 6)<span>" .
</span>_____________________________________________
Note: "(3x − 6)" factors into: " 3(x −2)" .
Note that: " (x − 2) " is the second integer.
______________________________________________
So the sum total, which is: "(3x − 6)" ; is 3 (three) times the value of the second integer; that is, "3 (x − 2)" .
______________________________________________
Answer:
The answer to your question is A = 200.96 u²
Step-by-step explanation:
Data
Radius A = 6
Radius B = 2
π = 3.14
Area = ?
Formula
Area = πr²
Process
1.- Calculate the radius of the large circle
Radius = radius of circle A + radius of circle B
Radius = 6 + 2
Radius = 8
2.- Substitute in the formula
Area = (3.14)(8)²
Area = 3.14(64)
Area = 200.96 u²
Answer: Rotations, reflections, translations (A, C, and E)
Imagine you had a camera aimed at a triangular figure on a piece of paper. If you rotate the camera, then the image of the triangle appears to rotate. In reality it's the other way around. What this means is that the triangle is not changing at all. It keeps the same size, shape, area, perimeter, etc. This applies to when the camera pans left or right, ie shifts from side to side. The triangle will translate but again the triangle isn't changing at all. It's merely an illusion. Reflections are the same way. Imagine having a piece of glass or a mirror that reflects the image which is an identical copy; although everything is flipped.
Dilations are not isometries because the image is a different size then the pre-image. The same shape is maintained though. Note: the scale factor must be some number other than 1.
another note: "isometry" breaks down into "iso+metry" with "iso" meaning "same" or "equal", and "metry" meaning "measure". So if you had 2 identical yard sticks, then they are isometrical or equal in length.
