Your city is represented in a coordinate plane where each unit represents 1 kilometer. the library is at (−2, −2), the post office is at (2, 2), and your house is at (−3, 2). you ride your bike from your house to the library, then the post office, and then back home. what is the minimum distance that you can ride your bike? round your answer to the nearest tenth.

Select the sequences that are geometric.

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality

Acafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or french fries. he used a computer program to randomly select three dishes for monday's lunch. what is the theoretical probability the applesauce and broccoli will both be offered monday?