If TU = 3x-12 and SU = 4x + 2, find the value of x. Then find the length of TU and SU.
If ST= x + 3 and TU= 4x-6, find the value of x. Then find the length of ST and TU.
is there some relationship between TU and SU?
If they are congruent, then just solve
3x-12 = 4x+2
Since that gives a negative value for x, I think you need to clarify things a bit.
To find the value of x in the first question, we can set TU and SU equal to each other since they represent the same line:
3x - 12 = 4x + 2
By rearranging the equation, we can isolate the variable x:
3x - 4x = 2 + 12
-x = 14
x = -14
To find the length of TU and SU, substitute the value of x into the respective expressions:
For TU:
TU = 3x - 12
TU = 3(-14) - 12
TU = -42 - 12
TU = -54
For SU:
SU = 4x + 2
SU = 4(-14) + 2
SU = -56 + 2
SU = -54
Therefore, the length of TU and SU is both -54 units.
Similarly, in the second question, to find the value of x, we can set ST and TU equal to each other:
x + 3 = 4x - 6
By rearranging the equation, we can isolate the variable x:
x - 4x = -6 - 3
-3x = -9
x = 3
To find the length of ST and TU, substitute the value of x into the respective expressions:
For ST:
ST = x + 3
ST = 3 + 3
ST = 6
For TU:
TU = 4x - 6
TU = 4(3) - 6
TU = 12 - 6
TU = 6
Therefore, the length of ST and TU is both 6 units.