In the given diagram, the points a, b, and c lie on a circle whose center is o. boc is a diameter of the circle. the following set of premises is relevant to the investigation of the given geometric diagram: i. the radii of a circle are of equal length. ii. angles opposite to equal sides of a triangle are equal. iii. the sum of the angles of a triangle is 180°. with reference to the diagram, which conclusion can be drawn correctly from the premises? a) ac = co b) oa + ob + ab > ∠bac c) m∠aco < 45° d) m∠bac = 90°

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

(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