In a parallelogram, opposite angles are congruent.
This means that the four angles of the parallelogram are:

Moreover, the sum of the interior angles of a polygon with n sides is 180(n-2). So, the sum of the interior angles of a parallelogram is 360.
This means

And since
, we have 
Answer: x= -189, y =252
Step-by-step explanation:
Let the first number be x and second number be y
so
x + y = 63
x = 63-y
now
1/9 of x + 1/6 of y = 21
x/9 + y/6 = 21
substituting x's value from equation i
(63-y)/9 + y/6 = 21
(378-6y+9y)/54 = 21
378+3y = 1134
3y = 1134-378
so, 3y = 756
so, y = 756/3
so, y = 252
now
x = 63-252
so, x = -189
Answer:
The line x = 8 is our vertical asymptote
The limit of
as x approaches 8 from the left is negative infinity; -∞
Step-by-step explanation:
We have been given the following function;

Considering that the function is rational, it will defined everywhere on the real line except where the expression in the denominator will be 0;
That is the function will not be defined where;
x - 8 = 0
solving for x yields;
x = 8
The function will be approaching the vertical line x = 8 asymptotically, meaning that the function will never touch or cross this line. We can therefore say that,
The line x = 8 is our vertical asymptote for the given function
The limit of
as x approaches 8 from the left;

For x approaching 8 from the left,
which implies that 
The denominator will be a negative quantity approaching 0 from the left, that is -∞.
Thus;
= -∞
Find the graph attached.
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