Question

If P is the midpoint of line segment ST, and SP = x + 4, and ST = 4x, thenwrite the equation to solve for x. *

Answer 1

x = 4

Explanation:

P is the midpoint of line segment ST

This means that the segment ST can be divided into two equal segments, SP and PT.

We are given:

SP = PT = x + 4

ST = 4x

Solving the equation:

ST = SP + PT

4x = x + 4 + x + 4

4x = 2x + 8

4x - 2x = 8

2x = 8

x = 8/2

x = 4