Answer:
x = 42 degrees.
Step-by-step explanation:
We see a cyclic quadrilateral, so by the cyclic quadrilateral theorem we notice that the angle marked with x degrees is equal to the angle marked with 42 degrees. Hence, x = 42 degrees.
Twice the difference of a number and 3 is at most 27
2*(n-3) <=27
to solve
distribute
2n -6 <=27
add 6 to each side
2n <=33
divide by 2
n <=33/2
n<= 16 1/2
Step-by-step explanation:
Part 1:
Rotation counterclockwise 90 °ree; of a point is
Here is a table of the transformation of all four points:
P(-7,0)-> P'(-0,-7) =P'(0,-7)
A(-4,2)-> A'(-2,-4)
R(-3,0)-> R'(0,-3)
K(-6,2)-> K'(-2,-6)
The initial and rotated images are shown attached.
Part 2: it needs to be done with the technology tool that you have. We can check your work if you post what you did.
Option B: 1088 is the next term in the geometric sequence.
Explanation:
The sequence is 
We need to determine the next term.
To determine the next term, let us find the common ratio between the terms.


Thus, the common ratio is 
And the given sequence is a geometric sequence.
To determine the next term in a geometric sequence, we always multiply the common ratio to the current term.
Hence, the current term is 272 and the common ratio is 4.
Next term = Current term × Common ratio


Thus, the next term of the geometric sequence is 1088
Therefore, Option B is the correct answer.