Since there are 6 sides to a cube, the probability of rolling anything but 5 is five out of six.
Fraction is 5/6
To find the decimal, divide 5 by 6 and round to the nearest hundredth
Decimal is 0.83
Then to find the percent you slide the decimal over two spaces.
Percent is 83%
The ratio is 5:6
The inverse of matrix A = ![\left[\begin{array}{cc}2&2&1&3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%262%261%263%5C%5C%5Cend%7Barray%7D%5Cright%5D)
is 
The given matrix is A =
The inverse of a matrix is given by
...(1)
Now, determinant of matrix A is
|A| = 
= (3)(2) - (2)(1)
= 6 - 2
= 4
Now, adjoint A will be
= 3
= -1
= -2
= 2
AdjA =
Now, substituting the values of |A| and AdjA in equation (1), we get
Therefore,
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To solve this
problem, we must remember that the sum of interior angle of a polygon is:
Sum of
interior angles = (n – 2) * 180˚
So, we can say
that:
Sum of
interior angles = angle A + angle B + angle C + angle D = (4 – 2) * 180˚
Where,
angle C + angle
D = 110 + 70 = 180˚
Therefore
substituting this value:
angle A + angle
B + 180˚ = 2 * 108˚
angle A + angle
B = 360˚ - 180˚
angle A + angle
B = 180˚ (answer)
Hence we can
also conclude that,
<span>angle A + angle
B = angle C + angle D</span>
