Question

14. What is the value of x? Justify each step.

Answer 1

Answer:

x=3

Step-by-step explanation:

Given information: AC=32, AB=2x, BC=6x+8 and point B lies between A and C.

We need to find the value of x.

$AB+BC=AC$               (Segment addition property)

Substitute the given values.

$2x+6x+8=32$             (Substitution)

Combine like terms.

$8x+8=32$                 (Simplification)

Subtract 8 from both sides.

$8x+8-8=32-8$           (Subtraction property of equality)

$8x=24$

Divide both sides by 8.

$x=\frac{24}{8}$           (Division property of equality)

$x=3$

Therefore, the value of x is 3.