Considering that point S splits segment RT, we have that:
a) The value of y is of y = 4.
b) The lengths are: RS = 29, ST = 19.
<h3>How to find the value of variable y?</h3>
Point S splits segment RT into two parts, hence the length of segment RT can be given by the following equation:
RT = RS + ST
The measures are given as follows:
Hence we can solve the equation for y, as follows:
RT = RS + ST
6y + 5 + 3y + 7 = 48.
9y = 36.
y = 4.
<h3>What are the lengths of segments RS and ST?</h3>
Considering that y = 4, we have that:
- RS = 6y + 5 = 6(4) + 5 = 29.
- ST = 3y + 7 = 3(4) + 7 = 19.
A similar problem, in which a point splits a segment, is given at brainly.com/question/4450896
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