Suplementary is angles add up to 180 degrees
C=180-D
C=180-84
C=96 degrees
Hope this helped :)
Answer:
x = 53
y = 30
Step-by-step explanation:
Step(I):-
Given equations are
x -2y =-7 ...(I)
5x-9y =-5 ..(ii)
The matrix form AX = B
![\left[\begin{array}{ccc}1&-2\\ 5 & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-2%5C%5C%205%20%20%26%20-9%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-7%5C%5C-5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
The determinant

By using Cramer's Rule
Δ₁ =
The determinant is Δ₁ = -9 X -7 - (10 ) = 53
x = Δ₁ / Δ
x = 53
The determinant
Δ₂ =
Δ₂ = -5 +35
y = Δ₂/Δ = 30
Answer:
There are 176 women in the company.
Step-by-step explanation:
Let number of men are 5x and number of women are 8x.
Total number of employees in the company are 286.
But according to given condition, total no of employees are :

Total no of women are 8x. It means
. Hence, there are 176 women in the company.
Answer:
Now we need to find B' and C' by multiplying 0.125 with the x-coordinate and y-coordinate.
-----
x-coordinate of B is -2, y-coordinate of B is 8
x-coordinate of B'
y-coordinate of B'
So
-----
x-coordinate of C is 6 and y-coordinate of C is 4
x-coordinate of C'
y-coordinate of C'
So
Conclusion:
The below are the TRUE statements:
(i) The coordinates of C' are (0.75, 0.5)
(ii) The scale factor is 1/8
(iii) The coordinates of B' are (–0.25, 1).
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Step-by-step explanation: