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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Using a proportional relationship, it is found that Carlos earns an allowance of $7.5 for each chore that he completes.
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the constant is:
k = 75/10 = 97.5/13 = 112.5/15 = 7.5.
Hence Carlos earns an allowance of $7.5 for each chore that he completes.
More can be learned about proportional relationships at brainly.com/question/10424180
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Answer:
Step-by-step explanation answer is C
