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Gnoma [55]
3 years ago
5

Find the value of x.

Mathematics
1 answer:
stepladder [879]3 years ago
5 0

a straight line is 180 degrees

 so on one side of A you have 98 so 180 - 98 = 82

82 + 32 = 114

180-114 = x = 66 degrees

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Step-by-step explanation:

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8 0
2 years ago
Use Cramer's Rule to find x in the system of equations below.
Ronch [10]

Answer: x = 4 , y = -3

Step-by-step explanation:

Going by the Cramer's rule , we first determine the determinant by dealing with only  the coefficients of x and y in the 2 x 2 matrix.

2x  -  3y = 17

5x  + 4y = 8

2        -3

5         4,   going by the rule now, we now have

(2 x 4) - (5 x -3)

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= 23.

Now to find the value of x , replace the constants with the coefficient of x and divide by he determinants.

 17        -3

 8          4

---------------  

2           -3

5            4

( 17 x 4 ) - ( 8 x -3 )

---------------------------

         23

     =  68 + 24

         ------------

              23

    =       92/23

    =           4.

 x =   4

Now  to find y, just repeat the process by replacing the coefficient of y with the constants.

2        17

5        8

-----------

2        -3

5         4

( 2 x 8 ) - ( 5 x 17 )

-----------------------

            23

       16 - 85

       ---------

          23

  =  -69/23

  =   -3

y =  -3.

check

substitute for the values in any of the equations above.

2(4)  - 3(-3)

8  + 9

= 17

 

 

8 0
3 years ago
From the top of a 210 foot lighthouse located at sea level, the keeper spots a boat at an angle of depression of 23 degrees
denpristay [2]
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opposite= height of the lighthouse
adjacent=distance from the boat to the bottom of the light house
hence
tan 23=210/a
thus solving for a we obtain:
a=210/tan23
hence
a=494.73 ft
6 0
3 years ago
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kirill115 [55]
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4 0
2 years ago
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Jet001 [13]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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