A bald eagle flies 43.2 meters in 3 seconds. A white-tailed eagle is shown flying. The graph shows the distance a typical peregrine falcon flies over time. A first quadrant coordinate plane is shown. The x-axis is the time in hours. The y-axis is the distance in kilometers. The point five hours, four hundred kilometers is shown. A line goes from the origin through the point. Question 1 Part A Find the unit rate of each bird’s speed in kilometers per hour. Enter the correct answers in the boxes. Eagle: km/h Falcon: km/h

The table shows a pattern of exponents. what is the pattern as the exponents decrease?

The pyramid below was dissected by a horizontal plane which shape describes the pyramid horizontal cross section

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality