Answer:
Step-by-step explanation:
Given:
AC = 32
AB = 2x
BC = 6x+8
A. segment addition postulate:
Segment Addition Postulate states that given points A and C, a third point B lies on the line segment AC if their distances between the points satisfy the expression:
AB + BC = AC.
B. substitution
This property allows you to substitute quantities for each other into an expression as long as those quantities are equal.
2x + 6x + 8 = 32
C. Simplification property of equality
Adding the like variables together on each side of the equality.
8x + 8 = 32
D. Subtraction property of equality
This involves subtracting the same value on both sides of the equality.
8x + 8 - 8 = 32 - 8
8x = 24
E. Division property of equality
Dividing both sides of the equality with a non zero value.
8x/8 = 32/8
x = 3
