Given: ∠A and ∠B are supplementary angles. m∠A=4x−16; m∠B=2x+4

Prove: m∠B=68°

Drag and drop reasons into the boxes to correctly complete the proof. Given: ∠A and ∠B are supplementary angles.

m∠A=4x−16; m∠B=2x+4

Prove: m∠B=68°

Drag and drop reasons into the boxes to correctly complete the proof.

Step-by-step explanation:

Statements                                               Reasons

∠A and ∠B are supplementary                Given

m∠A = (4x - 16), m∠B = (2x + 4)                Given

m∠A + m∠B = 180°                                  Definition of supplementary angles

4x - 16 + 2x + 4 = 180°                              Substitution property of equality

6x - 16 + 4 = 180                                       Simplify

6x - 12 = 180                                             Simplify

6x = 192                                                    Addition property of equality

x = 32                                                        Division property of equality

m∠B = 2(32) + 4                                       Substitution property of equality

m∠B = 64 + 4                                           Simplify

m∠B = 68°                                                Simplify        

4

step-by-step explanation:

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".