**Question 1**

please select the best answer from the choices provided

**Question 2**

please select the best answer from the choices provided

**Answer to question 1**

Hence, the value of z is: 20

Step-by-step explanation:

The point C is the mid point of the line segment VW.

That is it divides the line segment VW into two equal segments.

i.e. Length of segment VC= Length of line segment CW.

Also we are given that:

Length VW=61

Length VC=z+13

and Length CW=z+8

This means that:

VC+CW=VW

i.e. z+13+z+8=61

⇒ 2z+21=61

⇒ 2z=61-21

⇒ 2z=40

⇒ z=20

Hence the value of z is: 20

**Answer to question 2**