- By applying the midpoint rule, the measure of x is 11.
- Segment PR is equal to 39 units.
- Segment DE is equal to 14 units.
How to determine the midpoint?
In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Since S is the midpoint of line segment RT, it simply means that line segment RT is divided into two (2) sections RS and RT and they are equal in length. By applying the midpoint rule, we have:
RT = RS + ST
60 = 2x - 1 + 4x + 7
60 = 6x - 6
6x = 60 + 6
6x = 66
x = 66/6
x = 11.
How to determine segment PR?
By applying the midpoint rule, we have:
PR = PQ + QR
10x - 11 = 2x - 3 + 5x + 7
10x - 11 = 7x + 4
10x - 7x = 11 + 4
3x = 15
x = 15/3
x = 5.
For the measure of segment PR, we have:
PR = 10x - 11
PR = 10(5) - 11
PR = 50 - 11
PR = 39 units.
How to determine segment DE?
By applying the midpoint rule, we have:
CE = DE + D
CE = 2DE
28 = 2DE
DE = 28/2
DE = 14 units.
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