Question

Could someone possibly help me with this question?

Answer 1

Answer:

See explanation

Step-by-step explanation:

      Statement                     Reason

1. the diagram shows segment AC with point B on this segment, then

   $AB+BC=AC$              Segment addition postulate

2. Given $AB=2x,\ BC=6x+8,\ AC=32,$ then

   $2x+6x+8=32$              Substitution property

3. Simplify the equation as follows

   $8x+8=32$                      Combine like terms

4. Subtract 8 from both sides

   $8x+8-8=32-8\\ \\8x=24$          Subtraction property of equality

5. Divide by 8:

   $x=3$                                Division property of equality