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larisa [96]
3 years ago
9

What is the value of x if the average of 10, 11, 12 and x is 9?

Mathematics
1 answer:
frosja888 [35]3 years ago
6 0

Answer: The value of x is 3.

Step-by-step explanation:

Since we have given that

10,11, 12 and x

Average of above numbers = 9

As we know that

Average is given by

\dfrac{\text{Sum of observation}}{\text{Number of observation}}\\\\\\\dfrac{10+11+12+x}{4}=9\\\\10+11+12+x=9\times 4\\\\33+x=36\\\\x=36-33\\\\x=3

Hence, the value of x is 3.

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If the erea of a square is (y²+8y+16) cm²​,what is theof it's side
notka56 [123]

Answer:

Step-by-step explanation:

6 0
3 years ago
Helpppppppppppppppppppppppppp
Vsevolod [243]

Answer:

1.

x <   -  \frac{5}{13}

2.

x \geqslant  -  \frac{1}{5}

Step-by-step explanation:

↷

- \frac{13}{16}x +  \frac{3}{8}  <  \frac{11}{16}  \\  \frac{  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  - \frac{3}{8 }    <   -   \frac{3}{8} }{ \frac{  -  \frac{13}{16}x }{   - \frac{13}{16} }   <   \:  \:  \:  \frac{ \frac { 5}{16} }{ -  \frac{ 13}{16} } }   \\  \\ x  <    \frac{ - 5}{ \: 13}

↷

\frac{1}{3}  \geqslant  \frac{2}{9}  -  \frac{5}{9} x \\  \frac{   -  \frac{  2}{9} \geqslant   -   \frac{2}{9} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   }{ \frac{ \:  \:  \:  \frac{1}{9}x }{  - \frac{ 5}{9} } \geqslant   \frac{  - \frac{5}{9} }{  - \frac{5}{9} }   }  \\  \\ x  \geqslant   -  \frac{1}{5}

6 0
3 years ago
Illustrate the &lt;PAT and &lt;LAB are vertical angle?​
timama [110]

Answer

1. Draw a diagonal straight line PT.

2.Draw an another straight diagonal line LB that intersect at a point.

3. Label that Point A.

<em>Using</em><em> </em><em>Euclid</em><em> </em><em>Book</em><em> </em><em>1</em><em> </em><em>Proposition</em><em> </em><em>15</em>

<em> </em><em>If</em><em> </em><em>two straight lines cut one another, then they make the vertical angles equal to one another.</em><em>.</em>

8 0
3 years ago
Serena is building a bookcase she cuts two pieces of wood from one board one piece is 1 7/8 feey long and another is 3.5 ft long
Vladimir79 [104]

Answer:

\frac{43}{8}  feet

Step-by-step explanation:

The total change is the sum of the length of two boards she cut.

First board length is 1  7/8th feet. Let's change to improper fraction:

1 7/8 = 15/8 feet

Second board lengrh is 3.5 feet, or 3  1/2 feet. Let's change to improper fraction:

3  1/2 = 7/2 feet

Let's add the two:

\frac{15}{8}+\frac{7}{2}\\=\frac{15+28}{8}\\=\frac{43}{8}

The change in original board is 43/8 feet

3 0
3 years ago
Find the value of 7w-2 given that - 2w-4=6 .
Vesnalui [34]

Answer:

w= -5

Step-by-step explanation:

  • -2w - 4 = 6
  • -2w - 4 + 4 = 6 + 4
  • -2w = 10

Isolate "w":

  • \frac{-2w}{-2} = \frac{10}{-2}
  • w = -5
4 0
3 years ago
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