The two graphs show models characterized by exponential decay representing the area covered by two different algae blooms, in square yards, w weeks after
different chemicals were applied.
600
A
500
400
area in square yards
300
200
100
O
1 2 3 4 5 6
time in weeks
Which algae bloom (red triangles or blue circles) covered a larger area when
the chemicals were applied? How do you know?

Two lines parallel to a third line are parallel to each other. always sometimes or never

The sum of two numbers is 12 and their difference is 18 what are the two numbers

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