Respuesta :

Answer:

(5) The mid-segment AB = 17

(6)  The set of numbers that will form a triangle is 3,3,5 (OPTION 2)

Step-by-step explanation:

(5) The mid-segment is calculated as follows;

[tex]3x -1 = \frac{34}{2} \\\\3x-1 = 17\\\\3x = 18\\\\x = \frac{18}{3} \\\\x = 6[/tex]

The mid-segment AB = 3(6) - 1

                                    = 18 - 1

                                     = 17

(6) The set of numbers that will form a triangle is calculated as follows;

If A, B and C are three sides of a triangle, then the sum of any two sides must be greater than the third side.

Example; A + B > C  

The only option with the correct set of numbers is 2.

2. 3,3,5  ( 3 + 3 > 5)