Step-by-step explanation:
from,
An = 4n -13
A1 = 4 (1) - 13
> A1 = -9
A2 = 4(2) - 13
> A2 = -5
A3 = 4(3) - 13
> A3 = -1
A4 = 4(4) - 13
> A4 = 3
X=13 and z=112
you know that (13x-57) + (6x-10) = 180 since they are supplementary, so you will solve that. it will give you x=13. now that you know x, you can solve for z by plugging in 13 for x on 13(x)-57 since that and angle z are congruent. when you simplify, you will get z=112.
you can check your answer by doing (6x-10) +112=180. this is because they are supplementary. you should get x=13, and that is how you know you are right.
Complentary angle = 90 degrees
90 - 16 = your answer
The standard equation of a circle is:

where (h,k) is the center and r is the radius.
We need to make an equation of a circle, whose center is (11,-5) with any radius. Therefore, substitute the value.

The bolded part is your answer. Since the radius is not given, we can put any value.