Question

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

Answer 1

x=3

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

Answer 2

`x=3`

Explanation:

Since T is the midpoint of SU, this means that ST is equivalent to TU. In an equation:

`ST=TU`

Substitute them for their equations:

`8x+11=12x-1`

Now, solve for x.

Subtract 8x from both sides:

`11=4x-1`

Add 1 to both sides:

`12=4x`

Divide both sides by 4:

`x=3`

So, the value of x is 3.

And we're done!