Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed by a reflection along line m will cause a rotation. answers: A) 28° B) 56° C) 180° D) 112°

D) 112°

Step-by-step explanation:

Reflection is a type of transformation that require the turning of a point or an object about a reference point line.

In the given question, when the point is first reflected about l, it rotates at an angle of  56°. Then reflecting it about m give a total rotation of 112° by the point. Thus, the point (-4, 1) is rotated twice the angle between lines l and m.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18