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disa [49]
3 years ago
15

One angle of a parallelogram measures 90°. What are the measures of the other three angles in the parallelogram?

Mathematics
1 answer:
nirvana33 [79]3 years ago
5 0

All the others are 90 degrees too

Step-by-step explanation:

In a parallelogram opposite angles are congruent. Also in a quadrilateral the sum of angles is 360 degrees. since their are two pairs of congruent angles you could make an equation and it would look like this: 180+2x =360. x would be 90 making every angle 90 degrees.

Hope it helps :)❤

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sdas [7]

Answer:

a

    n=  75, 582

b

  n=    2300

c

  n =   253

Step-by-step explanation:

     Generally the size of the sample sample space is  mathematically represented as

           n  =   \left N } \atop {}} \right.  C_r

Where   N is the total number of objects available and  r is the  number of objects to be selected

    So  for  a,  where N = 19  and r = 8  

         n  =   \left 19 } \atop {}} \right.  C_8 =  \frac{19 !}{(19 - 8 )! 8!}

                           =     \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}

                           n=  75, 582

    For  b  Where  N  = 25 and  r  =  3

           n  =   \left 25 } \atop {}} \right.  C_3 =  \frac{25 !}{(19 - 3 )! 3!}

                             =     \frac{25 *24 *23 *22 !  }{22 ! \ 3!}

                             n=    2300

   For  c  Where  N  = 23 and  r  =  2

            n  =   \left 23 } \atop {}} \right.  C_2 =  \frac{23 !}{(23 - 2 )! 2!}

                              =     \frac{23 *22 *21!  }{21 ! \ 3!}

                              n =   253

4 0
4 years ago
Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
Burka [1]
Area of Rectangle = length times width
lets say length = 2x-4
width = x+5

Note: you can switch these around, width could be 2x-4 and length could be x+5, it doesnt matter.

With that being said:
length * width = area
(2x-4)(x+5)=area
FOIL (First Outer Inner Last)
2x^{2}+10x-4x-20=area
Simplify:
x^{2}+6x-20=area
3 0
3 years ago
Clark spent a total of $52 on a pair of shoes and a new jacket. The shoes cost $4 more than the jacket. Write a system of equati
lara [203]

Answer:

  • x+y=52
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Step-by-step explanation:

The sum of the two costs is $52, so we can write ...

  x + y = 52

The shoes cost $4 more than the jacket, so we can write ...

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These are your system of equations.

__

Subtract the second equation from the first:

  (x +y) -(x -y) = (52) -(4)

  2y = 48 . . . . . simplify

  y = 24 . . . . . . .divide by 2

The cost of the jacket is $24.

8 0
3 years ago
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vodomira [7]

Answer:

36

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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Anastasy [175]

Answer:

6:7

Step-by-step explanation:

A ratio is written as x:y where x and y are numbers in there most simplified form. In the ratio 24:28 both numbers are divisible by four, so divide each side by four and you have your answer.

7 0
3 years ago
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