3 ft by 10 ft area of a rectangle

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

According to official guidelines, a regulation basketball will bounce (or rebound) 54 inches if dropped onto a court from a height of 6 feet (72 inches). alle measurements are taken from the bottom of the ball, assuming you have a regulation basketball, how high can you expect the ball to bounce on the 10th bounce?

What is the value of x? enter your answer in the box. x = a right triangle with vertices labeled as a, b, and c. side c b is the base, and the top vertex is a. side a b contains a midpoint d. a line segment drawn from c to d bisects angle a c b into two parts labeled as a c d and b c d. angles a c d and b c d are marked with single arc. side a c is labeled as 3. base c b is labeled as 4. segment a d is labeled as 2.25. segment b d is labeled x.