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VLD [36.1K]
3 years ago
13

Can someone plz help me with the problem in the picture

Mathematics
2 answers:
fomenos3 years ago
8 0

Answer:

A = 73°

Step-by-step explanation:

the sum of the interior angles of a figure = (number of sides - 2) * 180

the sum of the interior angles of this figure = (5 - 2) * 180 = 540°

the fifth angle = the sum of the interior angles - the sum of the four angles

the fifth angle = 540 - (104 + 118 + 96 + 115) = 107°

the measure of angle A = 180 (straight angle) - 107 = 73°

son4ous [18]3 years ago
5 0
Total degrees :540
540-118-104-115-96=107
180-107=73
Ans:73
(180 is the total degrees for a straight line)
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A number is divided by 5, then added to 18. The answer is 9 less than 62. What is the original number?
Scorpion4ik [409]

Answer: The original number is 175

Step-by-step explanation:

The number will be represent by x .

The number is being divided by 5  so we can represent by the expression x/5.

After than is being added to 18  so we will add 18 to the expression.

x/5 + 18 .

It has to equal to 9 less than 62 and 9 less than 62 is the same as the expression  62 -9.

Whole equation will be   x/5 + 18 = 62 - 9  

\frac{x}{5} + 18 = 62 - 9     Combine like terms on the right side

x/5 + 18 = 53        Subtract 18 from both sides

      -18     -18

x/5 = 35     Multiply both side by 5.

x = 175

This means the original number is 175.

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katovenus [111]

Answer:  see below

<u>Step-by-step explanation:</u>

17) 5n - 3 > -2n + 4     and    9 - 4n ≥ -2n + 1

   <u> +2n   </u>    <u> +2n      </u>              <u>    +2n </u>   <u>+2n      </u>

   7n - 3   >     4                    9 - 2n  ≥       1

        +3         +3                  -9                 -9

    7n       >      7                       -2n   ≥     -8

  <u> ÷7     </u>    <u>     ÷7  </u>                   <u> ÷ -2 </u>  ↓  <u> ÷ -2 </u>

          n  >     1         and            n   ≤   4                  

Graph:   o----------------- ·

              1                     4

18) 9k - 2 ≤ 9 + 10k < 9 - 4k

     9k - 2 ≤ 9 + 10k      and     9 + 10k < 9 - 4k

  <u> -10k     </u>    <u>     -10k </u>               <u>       +4k </u>   <u>    +4k  </u>

     -k - 2 ≤ 9                             9 + 14k < 9

   <u>      +2</u>   <u>+2         </u>                 <u> -9          </u>  <u>-9         </u>

     -k      ≤  11                                  14k  <  0

 <u> ÷ -1    </u>   ↓<u> ÷ -1  </u>                      <u>       ÷14 </u>    <u>÷14      </u>

          k  ≥ -11                and               k < 0

Graph:    · -----------------o

              -11                  0    

19) 4 - n ≤ 10 + 5n ≤ 6n + 1

     4 - n ≤ 10 + 5n       and     10 + 5n ≤  6n + 1

   <u>    -5n </u>   <u>      -5n  </u>                 <u>      -6n </u>   <u>-6n     </u>

   4 - 6n ≤ 10                           10  -  n  ≤       1    

  <u>-4        </u>  <u> -4            </u>              <u> -10        </u>    <u>  -10  </u>

        -6n ≤ 6                                    -n ≤   -9

   <u>  ÷ -6   </u>↓ <u>÷ -6     </u>                    <u>    ÷ -1 </u>↓<u> ÷ -1    </u>

           n ≥ -1              and                 n ≥ 9

Graph:    · -----------------→

              -9                  

20) 4p - 5 ≤ 2p + 9 ≤ 4p + 7

     4p - 5 ≤ 2p + 9     and     2p + 9 ≤ 4p + 7

  <u> -2p       </u>   <u>-2p    </u>                 <u> -4p    </u>   <u>-4p      </u>

    2p - 5 ≤         9                -2p + 9  ≤        7    

    <u>      +5   </u>  <u>    +5    </u>             <u>        -9  </u>    <u>     -9  </u>

       2p  ≤       14                   -2p       ≤      -2

   <u>  ÷ 2   </u>   <u>    ÷ 2     </u>               <u>÷ -2    </u> ↓<u>    ÷ -2    </u>

         p ≤       7          and         p    ≥      1

Graph:    · ----------------- ·

              1                    7

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sveta [45]

Answer:

The correct option is B) 26x26x10^4.

Step-by-step explanation:

Consider the provided information.

It is given that the Wisconsin consist of 2 letter and 4 digits. And two letters always precede the digits.

There are 26 Alphabet so that means for alphabets we have 26 choices also we for digits we have 10 choices (0 to 9).

However, only digits can repeat. For first letter we have 26 choices for second we have only 25 choices left, similarly for digits we have 10 choices but repetition is allow so we can choose same number.  the number of possible plates are:

26×25×10×10×10×10

Which also can be written as:

26 \times 25 \times 10^{4}

Hence, the correct option is B) 26x26x10^4.

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