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melisa1 [442]
3 years ago
13

Tim has an encyclopedia in 5 volumesA–C, D–F, G–J, K–N, and O–Z. Other than alphabetically (ascending or descending), how many w

ays can these volumes be arranged?
120

118

25

insufficient data
Mathematics
2 answers:
levacccp [35]3 years ago
8 0

Answer:

B for Plato

Step-by-step explanation:

Ira Lisetskai [31]3 years ago
6 0
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.
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Select the postulate or theorem that you can use to conclude that the triangles are similar.
insens350 [35]

Answer: SAS similarity postulate

Step-by-step explanation:

According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.

In triangles, QNR and MNP,

\frac{QN}{MN} = \frac{QM+MN}{MN} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}

\frac{NR}{NP} = \frac{NP+NR}{NP} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}

\implies \frac{QN}{MN} = \frac{NR}{NP}

Also,

\angle QNR\cong \angle MNP  (Reflexive)

Thus, By SAS similarity postulate,

\triangle QNR\sim\triangle MNP

⇒ Option first is correct.

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3 years ago
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Answer:

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Step-by-step explanation:

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The graph of the piecewise function f(x) is shown what is the domain of f(x)
Rom4ik [11]

The domain of a function is where we have a value for x.

Since that's the case the domain of f(x) = {x e R / 1 ≤ x < 5}

We see that we have a value for x = 1 cuz we have a filled circle, but we don't have a value for x = 5, look at the unfilled circle

So, our x can vary between 1 and 5, but can't be 5.

8 0
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A line is defined by the equation y = negative x + 3. Which shows the graph of this line?
never [62]

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Its the First Graph

Step-by-step explanation:

The slope is -1 and the y-intercept is 3

x and y coordiantes (1,2) and (2,1)

3 0
3 years ago
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Answer:

angle6=angle8=71

Since no need step by step explanation, I'll just tell you the answer!

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