Given: m 3 = m 4

Prove:

1, 2 are supplementary

STATEMENT REASON

1. m 3 = m 41.

Given

a0

2. 2, 3 are supplementary2.

a1 sides in

a2 rays

3. m 2 + m 3 = 180º3. Definition of

supplementary

a3 angles

4. m 2 + m 4 = 180º4. Substitution

5. m 1 = m 45. Opposite

a4 are

a5

6. m 2 + m 1 = 180º6.

a6

7. 1,2 are supplementary7. Definition of

a7 angles

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?