Which number line represents the solutions to |x – 2| = 6?

The solutions are x=8 and x=-4

Step-by-step explanation:

we have

step 1

Find the first solution

case positive

step 2

Find the second solution

case negative

14.

15.

Step-by-step explanation:

Solving (14):

First, we solve for x.

Since sides , then

This is so because the theorem of ASA (Angle-Side-Angle)

So, we have:

Collect Like Terms

Divide both sides by 3

Solving for m<B, m<C and m<D.

We simply substitute 11 for x in their respective expressions.

Solving (15):

First, we solve for x.

Since , then

This is so because the theorem of SAS (Side-Angle-Side)

So, we have:

Collect Like Terms

Divide both sides by 2

Solving for WX, WY and XY

We simply substitute 4 for x in their respective expressions.