<span>If MN = 3 and MN = AB, then AB = 3
</span>answer
Transitive Property
The first book can be any one of the 5.
For each of those . . .
The 2nd book can be any one of the remaining 4.
For each of those ...
The 3rd book can be any one of the remaining 3.
For each of those . . .
The 4th book can be either of the remaining 2.
For each of those . . .
The 5th book is the last one remaining.
Total number of ways to arrange the 5 books is
(5 · 4 · 3 · 2 · 1) = 120 .
Cross off alphabetically ascending (1 way), and alphabetically
descending (1 way), and you're left with (120 - 2) = 118 ways.
Answer:
right prism
Step-by-step explanation:
If the faces are rectangles, then this prism is called a "right prism"
Answer:
10 hours
Step-by-step explanation:
45 pages per 1 hour and 30 minutes, or 60 min +30 min =90 min
90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages
90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300
? minutes = 90*300/45 = 600 minutes
to read 300-page book will take 600 minutes = 10 hours
<h3>
Answer:</h3>
x = 1
<h3>
Step-by-step explanation:</h3>
<em>The only solution is an extraneous solution</em>, which is to say the equation has no solution.
The rational expression reduces to -1 (for x≠1), which makes the equation ...
1 = 1/x
The only solution to this is x=1, which is specifically disallowed.
___
If you subtract the right side, the equation becomes ...
((-x+1)(x) +2(x)(x -1) -(x -1))/(x -1) = 0
(-x^2 +x +2x^2 -2x -x +1)/(x -1) = 0 . . . . eliminate parentheses in the numerator
(x^2 -2x +1)/(x -1) = 0 . . . . . . . . . . . . . . . collect terms
(x -1)^2/(x -1) = 0 . . . . . . . . . . . . . . . . . . . factor
This is undefined for the only value of x that could possibly be a solution, x=1.
