There are six different French books, eight different Russian books, and five different Spanish books. How many ways are there to arrange the books in a row on a shelf with all books of the same language grouped together?

Step-by-step explanation:

The number of books in French language  = 6

The number of books in Russian language  = 8

The number of Spanish books  = 5

So, in total there are 19 books in 3 different languages F , R and S.

Now, the books are to be arranged in such a way that each language books are stacked together.

The possible number of ways to do it is :

1. French, Russian , Spanish.

2. French, Spanish, Russian.

3. Russian , Spanish, French.

4. Russian , French , Spanish.

5. Spanish, French,  Russian.

6. Spanish, Russian, French.

So,there are total 6 ways to arrange the books in the desired manner.

Hence, there are 6 possible ways to arrange the books in a row on a shelf with all books of the same language grouped together.

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180