If segment XY = 5 and segment YZ = 10, what is the length of XZ?

The length of segment XZ is 15 units

Step-by-step explanation:

Given

Required

Determine XZ

Assuming XY and YZ are on the same plane such that

Substitute values for XY and YZ

Hence, the length of segment XZ is 15 units

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.