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marshall27 [118]
3 years ago
7

What is the value of x?

Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0

Answer:

x=15 degree

Step-by-step explanation:

5x +5+6x -1+3x+5x+3+4x+8 =360 degree (exterior angles of pentagon is 360 degree)

23x +15 =360

23x=360-15

x=345

x=345/23

x=15 degree

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Find the area of the polygon. Figure ABCDE is shown. A is at 6, 0. B is at negative 4, 5. C is at 2, 5. D is at 2, 9. E is at 6,
kondaur [170]

This question is incomplete. The attached image was obtained online

Answer:

41 square units

Step-by-step explanation:

Looking at diagram that was attached, we can see that the Polygon s the combination of a square and a triangle.

In square CDEF we have:

The lengths of the side of the square= 4 units

Hence, the area of square is: length ²

Area of square= 4²

=16 square units

Also, in ΔBFA we have:

The base of the triangle is calculated as

=6 + 4= 10 units

height of the triangle is: FA= 5 units

The formula for Area of a triangle = 1/2 × Base × Height

Hence, we have area of ΔBFA as:

= 1/2 × 10 × 5

Area= 25 square units

The Area of the Polygon = Area of the square + Area of the triangle

16 square units + 25 square units

= 41 square units

7 0
3 years ago
How many different 10-letter words (real or imaginary) can be formed from the letters of the word LITERATURE?
nordsb [41]

Answer:

The number of words that can be formed from the word "LITERATURE" is 453600

Step-by-step explanation:

Given

Word: LITERATURE

Required: Number of 10 letter word that can be formed

The number of letters in the word "LITERATURE" is 10

But some letters are repeated; These letters are T, E and R.

Each of the letters are repeated twice (2 times)

i.e.

Number of T = 2

Number of E = 2

Number of R = 2

To calculate the number of words that can be formed, the total number of possible arrangements will be divided by arrangement of each repeated character. This is done as follows;

Number of words that can be formed = \frac{10!}{2!2!2!}

Number of words = \frac{10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{2 * 1 * 2 * 1 * 2 * 1}

Number of words = \frac{3628800}{8}

Number of words = 453600

Hence, the number of words that can be formed from the word "LITERATURE" is 453600

8 0
3 years ago
Which number is a perfect square<br> 32<br> 144<br> 1000<br> 36000
galben [10]
144 is a square of 12

Hope this helps!
4 0
3 years ago
Read 2 more answers
Jenny drove her tractor down a row of her cornfield. She drove at constant velocity of 34metersperminute down the row. The row w
tamaranim1 [39]

Answer:

5 mins

Step-by-step explanation:

680/4

=170 meters (quarter of 680m)

170/34

=5 mins

7 0
3 years ago
Read 2 more answers
NEED HELP ASAP
azamat

Answer:

2 + m- 1 + m

Step-by-step explanation:

3m +1 -m

Combine like terms

3m-m +1

2m +1

We can split the m's

m+m +1

And we can rewrite 1 as 2-1

m+m+2-1

m+2+m-1

Rearranging the order

8 0
3 years ago
Read 2 more answers
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