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Part 2 of 3
Use the number line below, where RS= 6y +5, ST = 3y + 7, and RT = 48.
a. What is the value of y?
b. Find RS and ST.

Respuesta :

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.

How to find the value of variable y?

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:

  • RS = 6y + 5.
  • ST = 3y + 7.
  • RT = 48.

Hence we can solve the equation for y, as follows:

RT = RS + ST

6y + 5 + 3y + 7 = 48.

9y = 36.

y = 4.

What are the lengths of segments RS and ST?

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 https://brainly.com/question/4450896

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