The opposite angles of the cyclic quadrilateral are equal to 180 degrees which are supplementary angles.
<h3>What is a cyclic quadrilateral?</h3>
If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.
A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.
We know that the sum of the opposite angles of the cyclic quadrilateral is equal to 180 degrees.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
More about the cyclic quadrilateral link is given below.
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Answer:

Step-by-step explanation:
Move
to the denominator in 
using the negative exponent rule 
Answer:
k = -4 or 2
Step-by-step explanation:
For the lines to be parallel, the lines would need to be the same slope. This means to find the slope of each we would take the difference of the rise over the run.

and

To find K, set them equal.

Factor the quadratic and solve for K.

k+4=0 so k=-4
k-2=0 so k=2
Every positive number has two square roots.
The square roots of 67 are 8.185... (rounded) and -8.185... (rounded) .
Both are irrational numbers, so they can't be completely written down
with digits. No matter how many decimal places I write, it can never be
enough, because these decimals go on forever and never end.
Well, units divide and multiply just like numbers. That's why Area is in units of distance squared (cm × cm = cm²) and volume is cubic distance (m × m × m = m³).
Likewise other mathematical operations can be performed on them, including division where they can cancel out of the equation.
For instance, a rate, speed, slope or conversion factor is usually one unit divided by another unit. Like so...
speed = 5 meters per second

If you are given a distance traveled, let's say 100 meters and asked to solve for time it takes to get there. You would divide by the speed so that meters cancel leaving only time.
** Of course to divide by a fraction is to flip and multiply so really you're just multiplying by it, making sure the same units are diagonal and cancel out like so:

Hope this helps!