Using the segment addition postulate, the values are:
a. y = 6
b. RS = 50
ST = 29
How to Apply the Segment Addition Postulate?
Based on the segment addition postulate, the following equation is true which we can use in finding the missing measures:
RS + ST = RT.
Given:
RS = 8y + 2,
ST = 4y + 5,
RT = 79.
a. Plug in the given values into RS + ST = RT:
8y + 2 + 4y + 5 = 79
12y + 7 = 79
12y = 79 - 7
12y = 72
y = 6
b. RS = 8y + 2 = 8(6) + 2
RS = 50
ST = 4y + 5 = 4(6) + 5
ST = 29
Thus, using the segment addition postulate, the values are:
a. y = 6
b. RS = 50
ST = 29
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