Find the value of x that makes m ∥ n

20

Step-by-step explanation:

Theorem:

If two lines are cut by a transversal such that alternate interior angles are congruent, then the lines are parallel.

Lines m and n are cut by a transversal.

Angles 3x and 2x + 20 are alternate interior angles.

For lines m and n to be parallel, angles 3x and 2x + 20 must be congruent, so their measures must be equal.

3x = 2x + 20

x = 20

20

the correct answer is 1: 2

step-by-step explanation:

hope this your welcome : )

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4