Answer:
- reflection in x = 1
- translation up 2
Step-by-step explanation:
The orientation of B is the opposite of the orientation of A, so a reflection is involved. The smallest angle is at the bottom in both figures, and the largest angle is on the right in A and the left in B, so the reflection is left-right, rather than up-down.
The point midway between the largest angle vertices is on the vertical line x=1, so that line can be used for reflection. Reflecting A across that line will put its large-angle vertex at (3, 0), so a translation up 2 units is also needed.
The reflection on x=1 and translation up 2 can be done in either order.
_____
<em>Additional comment</em>
A combination of reflection and translation is called a "glide reflection." Our choice of x = 1 as the line of reflection takes care of any horizontal translation that would be required if a different vertical line were used. For example, reflection across the y-axis would require a subsequent translation up 2 and right 2.
Answer:
The inductive reasoning is based on A: a limited number of observations
Step-by-step explanation:
Let's say you lived until 90 years old, and took a observation on July 4th each year. Even if you lived until 90 years old, you would only have 90 observations. And inductive reasoning allows for statements to be false, so any of the 90 observations that you took can be proven false. So really, you would have only 90 observations, with any of them that could be false. A limited number of observations would be the only thing that you could base this reasoning off of.
Okay, so I would multiply 62*7.5 to get 465.
To check the solution, make sure it follows the rules as in the word problem.
If you divide 465 by 7.5 you do get 62, so the solution is 465.
Mathematically, the equation would be
x
- = 62
7.5
I would multiply x/7.5 by 7.5/1 (to cancel it out) and 62/1 by 7.5 which is basically the same solution as above.
Answer:
225
Step-by-step explanation:
225 ÷ 9 =25
Answer:
The answer is 66 ways .
Step-by-step explanation:
You have to use <u>Combination</u> because it says choosing 10 out of 12 as the position is not important :
12C10 = 66 ways of arrangements
