Respuesta :

Answer:

[tex] PQ + QR = PR [/tex] => equation 1

[tex] RS + ST = RT [/tex] => equation 2

[tex] PR + RT = PT [/tex] => equation 3

Step-by-step explanation:

Points P, Q, R, S, and T are collinear therefore, the following equations can be written based on the segment addition postulate:

[tex] PQ + QR = PR [/tex] => equation 1

[tex] RS + ST = RT [/tex] => equation 2

[tex] PR + RT = PT [/tex] => equation 3

More equations can actually be written from the diagram given using the segment addition postulate. Such as:

[tex] PQ + QR + RS + ST = PT [/tex]