Which of the following sequences of transformations will carry hexagon A onto hexagon B? A.
Reflect hexagon A over the y-axis, rotate it 180° about the origin, and translate it 4 units to the left.

B.
Rotate hexagon A 180° about the origin, reflect it over the y-axis, and translate it 2 units to the right.

C.
Translate hexagon A 4 units to the left, reflect it over the y-axis, and rotate it 180° about the origin.

D.
Translate hexagon A 2 units to the left, reflect it over the y-axis, and rotate it 180° about the origin.

Lian is deciding which of two gyms to join. each gym charges a monthly rate plus a one-time membership fee. lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. in her work, she substituted an expression for one variable and solved for the other. this resulted in the equation 75 = 75. what can lian conclude? one gym charges $75 per month. each gym charges $75 per month both gyms charge the same monthly rate and the same membership fee. both gyms charge the same monthly rate, but not the same membership fee.