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2 years ago

What is x???????need help

Mathematics

1 answer:

gogolik [260]2 years ago

7 0

Answer:

100 degrees

Step-by-step explanation:

The angle x is opposite the angle that is 100 degrees.

Since they are opposite each other, they are vertical angles.

This means that they are congruent, or equal to each other.

Therefore,

x=100

x is 100 degrees

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0/1 For positive integer n, n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?. What is the value of 4# · 3# · 2# · 1#?

MakcuM [25]

Answer:

331776

Step-by-step explanation:

Since n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?

Then 4# = 4? · (4 − 1)? · (4 − 2)?· 1?

= 4? · 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 4? = 4! · (4 − 1)! · (4 − 2)! · 1! = 4! · 3! · 2! · 1! = 288

Thus, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Also, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 4# = 4? · 3? · 2?· 1? = 288 × 12 × 2 × 1 = 6912

We now find 3#

3# = 3? · (3 − 1)? · 1? = 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Thus, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 3# = 3? · 2?· 1? = 12 × 2 × 1 = 24

We now find 2#

2# = 2? · (2 − 1)? · 1? = 2? · 1?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 2# = 2?· 1? = 2 × 1 = 2

We now find 1#

1# = 1? · 1? = 1? · 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

And, 1# = 1? · 1? = 1 × 1 = 1

So, 4# · 3# · 2# · 1#? = 6912 · 24 · 2 · 1? = 331776

7 0

2 years ago

2 2/3 of what number is 6 1/7

borishaifa [10]

$2\frac{2}{3}$ of $2\frac{17}{56}$ is $6\frac{1}{7}$

Solution:

Given $2\frac{2}{3}$ of what number is $6\frac{1}{7}$ .

Let us first convert the mixed fraction into improper fraction.

$$2\frac{2}{3}=\frac{(2\times3)+2}{3}=\frac{8}{3}$

$$6\frac{1}{7}=\frac{(6\times7)+1}{3}=\frac{43}{3}$

Now, let us take the unknown number be x.

$$2\frac{2}{3}\times x=6\frac{1}{7}$

$$\frac{8}{3}\times x=\frac{43}{7}$

Do the cross multiplication.

$$ x=\frac{43}{7}\times\frac{3}{8}$

$$ x=\frac{43\times3}{7\times8}$

$$ x=\frac{129}{56}$

Now, again change the improper fraction into mixed fraction.

$$ x=2\frac{17}{56}$

Hence $2\frac{2}{3}$ of $2\frac{17}{56}$ is $6\frac{1}{7}$ .

6 0

3 years ago

The shadows of two vertical poles were measured at the same time to be 6m and 15m long. If the first pole is 8cm long, find the

son4ous [18]

Answer:

20 cm

Step-by-step explanation:

Shadow of vertical poles : 6m ; 15m

Length of poles : 8cm ; h

8cm long pole = shadow length, 6m

h cm long pole = shadow length, 15 m

Using cross multiplication :

8cm * 15 m = h cm * 6m

120 = 6h

h = 120 / 6

h = 20 cm

Height of second pole = 20cm

8 0

2 years ago

Write 1.6 as a percentage.

ikadub [295]

To right 1.6 as a percentage u would write 6

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Write the numeral for fifty million and sixty thousand

marishachu [46]

500060 is the answer

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