Justin weighs 15 pounds less than greg weighs. half of greg’s weight is 75 pounds less than justin’s weight. how much does each of them weigh? greg weighs 200 pounds, and justin weighs 185 pounds. greg weighs 190 pounds, and justin weighs 175 pounds. greg weighs 180 pounds, and justin weighs 165 pounds. greg weighs 170 pounds, and justin weighs 155 pounds.

Angles r and s are complementary. the measure of angle r is 31 degrees. which equation can be used to find angle s?

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

Find the amplitude of a sinusoidal function that models this temperature variation