Could someone please explain how to figure this out step by step. I'll give you one of my problems and I'll try to figure out the rest.

Directions: For each situation find the value of x and the measure of the indicated segment.

1. UY=4x-3, YV=x; UV

If UY and YV are segments of a straight line, then

UY+YV=UV
4x-3+x=UV

If one knows UV, then one can solve for x.

Do I add 4x+x which equals 5x so would it be 5x-3=UV??

could you check the one i did myself

2. UV=x+6,UY=x-1;YV
UY+UY=YV
x+6-1=YV
Answer: x-5=YV

well, since UV is greater then UY, it means that UV is the longer segment, UY one part of it, and YV the other part.

So UY+YV=UV
then proceed.

So would the answer be x^2+YV=7

To find the value of x and the measure of the segment UV, we can use the given information about the lengths of UY and YV.

1. Start by using the fact that UV is the sum of UY and YV:
UV = UY + YV

2. Substitute the given information into this equation:
UV = (4x - 3) + x

3. Simplify the equation:
UV = 5x - 3

Now, if you have any additional information or requirements for solving this problem, please let me know so that I can assist you further.