What is the value of x? Justify each step using proof reasoning. AB + BC = AC a.segment addition postulate 2x + 6x + 8 = 32 b. substitution 8x + 8 = 32 c. simplify 8x = 24 d. division property of equality X = 3 e. multi property of equality

Respuesta :

To find x, bring the parameter to the left as well as put the rest of the value systems towards the right, and the calculation can be defined as follows:

Given:

[tex]\to \bold{AB + BC = AC}[/tex]

Please find the complete question.

Find:

x=?

By reading the given question we make the  equation and then calculating the value of the x

Solution:

[tex]AB=2x \\\\BC=6x+8 \\\\AB+BC=2x+6x+8= 8x+8 \\\\\therefore\ 8x+8 =AC \ \ \ \text{[AC is a single line]} \\\\8x+8=32 \\\\8x=32-8\\\\8x=24\\\\x=\frac{24}{8}=3\\\\[/tex]

So, the final value of x is "3".

Learn more:

Find x: brainly.com/question/18681264