10. If I is the midpoint of SU, find x.
8x + 11
12x - 1
S
T
U

Answer:
[tex]x=3[/tex]
Step-by-step explanation:
Since T is the midpoint of SU, this means that ST is equivalent to TU. In an equation:
[tex]ST=TU[/tex]
Substitute them for their equations:
[tex]8x+11=12x-1[/tex]
Now, solve for x.
Subtract 8x from both sides:
[tex]11=4x-1[/tex]
Add 1 to both sides:
[tex]12=4x[/tex]
Divide both sides by 4:
[tex]x=3[/tex]
So, the value of x is 3.
And we're done!
Answer:
x=3
Step-by-step explanation:
ST = TU
8x + 11 = 12x - 1
Subtract 8x from each side
8x+11 -8x = 12x-1-8x
11 = 4x -1
Add 1 to each side
11+1 = 4x-1+1
12 = 4x
Divide by 4
12/4 = 4x/4
3= x