Geometry really quick easy problem!!!!!?

Question

Ok, so I am like slow in math and I was wondering if anyone...ANYONE can walk me through the steps of this problem. It says

Given: ST=3x +3 and TU= 2x + 9.
What is the value of ST?
What is the value of TU?

(it's on a line segment with point "s" to the far left, point "t" in the middle and point "u" all the way to the left.)

Can u explain it step by step please??? I have been stuck on this problem for 2 hours already!! Thanks in advance!! :)

Answer 1

Explanation for Step #1: If T is the midpoint (or right in the middle) between points S and U on line segment SU, then you can say that ST=TU. Since you are also given the values of ST and TU in terms of x (from the original problem statement), you can now solve for x and then go back to the equations and find the value of ST and TU.



Step #1:

ST=TU (as I explained up above), so 3x+3=2x+9 --> subtract 2x from both sides --> x+3=9 --> subtract 3 from both sides --> x=6.



Explanation for Step #2:

Now that we have found the value of x, we can finish the problem by using the equations of ST and TU to find their values:



Step #2:

ST=3x+3, and since we have found that x=6, just substitute 6 into the equation --> ST=3x+3 --> ST=3*(6)+3 --> ST=18+3 --> ST=21

For TU, you could use the equation TU=2x+9 and find its value, but you don't even have to do that since we know that ST=TU (if you are confused, look at the first sentence of my explanation for step #1). So if ST=21, and ST=TU, then by the transitive property, TU=21.



FINAL ANSWER: ST=21 and TU=21

Answer 2

Since T is the midpoint of SU, ST = TU

3x + 3 = 2x + 9

x = 6

ST = 3(6) + 3 = 21

TU = 2(6) + 9 = 21

Answer 3

Ok Scarlett-- are you sure you posted this correctly? t is the midpoint between s and u right?



so, equate the two ST = TU and solve for x: 3x + 3 = 2x+9.

x = 6

Answer 4

ANS: ST and TU are interdependent.

their relationship is: 3TU - 2ST = 21



Given: ST=3x +3 and TU= 2x + 9.