Answer:
16
Step-by-step explanation:
Since it is a perpendicular bisector, we can set ST and SW equal to each other, solve for x, and then plug back in to solve for SW.
[Equation] 2x + 2 = 4x - 4
[Add 4 to both sides] 2x + 6 = 4x
[Subtract 2x from both sides] 6 = 2x
[Divide both sides by 2 & flip the equation] x = 3
Then, we will plug in for one of the segments and multiply by two (since they are equal, we can find one and multiply by two) to find SW.
[Given] 2x + 2
[Substitution] 2(3) + 2
[Multiply] 6 + 2
[Add] 8
[Multily by 2 to solve for SW] 16
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
