FluttershyK22
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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)

STx3 and TU4x6 what is the value of ST and SU I know ST6 and SU12 but Im not sure how to do the problem can someone explain S T and U are all on the same line class=

Respuesta :

Answer:

ST= 6 unit and SU = 12 unit

Step-by-step explanation:

Here, S, T, and U are all on the same line,

Also, T is between S and U,

Such that ST = TU

Here, ST = x+3 and TU = 4x-6,

⇒ x + 3 = 4x - 6

Subtracting 3 on both sides,

⇒ x = 4x - 9

Subtracting 4x on both sides,

⇒ -3x = -9

Divide both sides by -3,

⇒ x = 3

Hence, ST = 3 + 3 = 6,

And, SU = ST + TU = ST + ST = 2 ST = 2(6) = 12

facundo3141592

This situation is described by the image below, where we can see that:

Points S, T, and U are colinear points.

Point T is the midpoint of the segment SU.

This means that:

ST = TU

We also know that:

ST = x + 3

TU = 4x - 6

Then we can write:

ST = x + 3 = 4x - 6 = TU

x + 3 = 4x - 6

3 + 6 = 4x - x

9 = 3x

9/3 = x = 3

Now that we know the value of x we can replace it in the equations of ST and TU

ST = x + 3 = 3 + 3 = 6

TU = 4x - 6 = 4×3 - 6 = 6

And T is a point between S and U, this means that:

SU = ST + TU = 6 + 6 = 12

SU = 12

If you want to learn more, you can read:

https://brainly.com/question/2441957

Ver imagen facundo3141592

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