Select the correct answer from each drop-down menu. in the figure, , and both lines are intersected by transversal t. complete the statements to prove that ∠2 and ∠8 are supplementary angles. (given) m∠2 = m∠7 () m∠7 + m∠8 = 180° () m∠2 + m∠8 = 180° (substitution property) ∠2 and ∠8 are supplementary (definition of supplementary angles)

Statement: if two distinct planes intersect, then their intersection is a line. which geometry term does the statement represent? defined term postulate theorem undefined term

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?

Factor the following polynomial completely 514 + 2013 - 1052 oa. 5121 + 3)( - ) ob. 51%(1 - 3)(1 + 7) oc. 5198 - 3)(x + 7) od 51%(+ 3)(x - 7)