Final answer:
To calculate the length of UV when given UY and YV, sum the lengths of UY and YV, which yields UV = UY + YV, and with the given equations, UV = 5x – 3. Additional information is needed to find a specific numeric value for UV.
Step-by-step explanation:
To find the length of UV, we need to first determine the value of x based on the information given for the lengths of segments UY and YV. The length of UY is given by the equation UY = 4x – 3, and the length of YV is given by the equation YV = x. Since segment UV is composed of segments UY and YV, the length of UV can be found by summing UY and YV:
UV = UY + YV
UV = (4x – 3) + x
UV = 4x + x – 3
UV = 5x – 3
Since there's no given value for x, we cannot simplify this any further without additional information. However, the equation UV = 5x – 3 represents the linear relationship between the variable x and the length of segment UV.