"given: in ∆abc, segment de is parallel to segment ac .. prove: bd over ba equals be over bc. the two-column proof with missing statements and reasons proves that if a line parallel to one side of a triangle also intersects the other two sides, the line divides the sides proportionally.. statement. reason. 1. segment de is parallel to segment ac. 1. given. 2. line segment ba is a transversal that intersects two parallel lines. 2. conclusion from statement 1. 3.. 3.. 4. ∡bde ≅ ∡bac. 4. reflexive property of equality. 5. ∆abc ~ ∆dbe. 5. angle-angle (aa) similarity postulate. 6.. 6.. "

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

one fourth of 9% = 2.25%

gavin is correct in saying : the equivalent quarterly interest rate would be

2.25%.

any of them that add up to 180 degrees.