Two friends are discussing the divisibility criteria for integers. Alberto states "A positive integer n is divisible by 6 if and only if the sum of its digits is divisible by 6".
Bruno, rightly, replies that what Alberto says is false.
Determine which of the following values of n provides a counterexample to Alberto's statement.

A. 3333
B. 6666
C. 7777
D. 4404
E. 5505

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

Which shows how to solve the equation 3/4x=6 for x in one step?

What is the perimeter of a rectangle if the length is 5 and the width is x?