ST=x+3 and TU=4x-6 what is the value of ST and SU
I know ST=6 and SU=12, but I'm not sure how to do the problem, can someone explain?
(S, T, and U are all on the same line)
(The letters are supposed to be in that order under each *)
just plug in your expressions. You know that
ST+TU = SU
x+3 + 4x-6 = 12
5x = 15
x=3
Now you can easily find all the lengths.
Can someone help?
*-----I------*-------I------*
S T U
That's the line but I'm still confused on how exactly ST= 6 and SU= 12
To find the values of ST and SU, we first need to find the values of x that make ST and TU equal to those values.
Given that ST = x + 3 and TU = 4x - 6, we can set these equations equal to each other:
x + 3 = 4x - 6
Now, we can solve for x by isolating the variable:
x - 4x = -6 - 3
-3x = -9
Dividing both sides of the equation by -3, we get:
x = 3
Now that we know the value of x, we can substitute it back into the equations to find the values of ST and SU.
ST = x + 3 = 3 + 3 = 6
SU = 4x - 6 = 4 * 3 - 6 = 12
Therefore, the values of ST and SU are 6 and 12, respectively.
well, since ST=x+3 and ST = 6
x-3=6
x=9
So TU = 4x-6 = 30
Only you know the positions of S, T, and U on your line, so fill in the values