Two pieces of wood, 123cm and 215cm in thickness are to be nailed together. If the nails that can be bought are a whole cm in length, at least what length of nail should be bought for the nail to go through both pieces?

Lines b and c are parallel. what is the measure of 2? m2 = 31° m2 = 50° m2 = 120° m2 = 130°

Which lines are parallel? justify your answer. lines p and q are parallel because same side interior angles are congruent. lines p and q are parallel because alternate exterior angles are congruent lines l and m are parallel because same side interior angles are supplementary lines l and m are parallel because alternate interior angles are supplementary.

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.