Answer:
ST = 52
SW = 54
WV = 54
Step-by-step explanation:
Because TW is a median line, that means that SW and WV are the same length. So, SW = WV or:
2x + 30 = 5x -6
We can then rearrange to have all the x's on one side like so:
2x - 2x + 30 = 5x -2x -6
30 = 3x -6
30 + 6 = 3x -6 +6
36 = 3x
Then, we divide both sides by 3 to find x by itself:
[tex] \frac{36}{3} = \frac{3x}{3} [/tex]
12 = x
To finish, replace x with 12 in each equation:
ST = 12 + 40
ST = 52
SW = 2(12) + 30
SW = 24 + 30
SW = 54
WV = 5(12) -6
WV = 60 -6
WV = 54
