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

User Double M
by
2.8k points

1 Answer

17 votes
17 votes

Answer:

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

User Anthony Queen
by
2.9k points
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