Question

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Answer 1

The image suggests that RST is an isosceles triangle, and that RW is the height for the base TS. This means that TW=WS, because W is the midpoint of TS.

So, you have

`2x+2 = 4x-12`

Subtract 2x from both sides:

`2 = 2x-12`

Add 12 to both sides:

`14 = 2x`

Divide both sides by 2:

`x = 7`

Answer 2

TW = SW the ticks marks show they are congruent

2x + 2 = 4x - 12 substitution

2 = 2x - 12 subtraction property of equality

14 = 2x addition property of equality

7 = x division property of equality

Answer: D