Question

1. d is the midpoint of ce. if ce = 28, then de =? 10. if tu = x + 7 and uv = 5x - 13, then uv =?

Explanation:

Step1: Find the value of x for TU and UV

Since TU and UV are parts of the same line - segment and TU = x + 7, UV = 5x - 13, and assuming they are equal (if not specified otherwise, we can use the fact that they are related in an equation - forming way), we set TU = UV. So, x + 7=5x - 13.
Move the x - terms to one side: 13 + 7=5x - x.
4x = 20, then x = 5.

Step2: Calculate UV

Substitute x = 5 into the expression for UV. UV = 5x - 13.
UV = 5×5 - 13=25 - 13 = 12.

Step3: Solve for DE

Since D is the mid - point of CE and CE = 28, by the definition of a mid - point, DE=\frac{CE}{2}.
DE=\frac{28}{2}=14.

Answer:

UV = 12, DE = 14