Which one of the following is an example of deductive reasoning? a) the first term of a sequence of numbers is 1, the second term is 3, and the third term is 5. thus, the nth term is 2n-1. b) the sum of the angles in which one of the following is an example of deduct and in which one of the following is an example of deduct is 180 degrees. therefore, the sum of the angles in any trianlge is 180 degrees. c) all rectangles have four right angles. since abcd is a rectangle, it must have four right angles. d) line l1 has a slope of 5 and line l2 has a slope of 4. line l1 is closer to the appearance of a vertical line than l2. thus, the larger the slope of a line, the more vertical the line will appear.

I want to say that the answer is C.

Hope this helps!

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3