Find the equations that describe the circle of radius 2 centered at(5, 6, 1)that is parallel to the xy-plane. (enter your answers as a comma-separated list of equations.)

we know that

the equation of the sphere is equal to

where

(h,k,l) is the center of the sphere

r is the radius of the sphere

In this problem

the center is (5, 6, 1) and the radius is 2 units

so

the equation of the sphere is equal to

a) the equation of a circle that is parallel to the xy-plane is

For z=1

b) the equation of a circle that is parallel to the yz-plane is

For x=5

c) b) the equation of a circle that is parallel to the xz-plane is

For y=6

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°