The length of RZ is determined by the equation 8x - 10, and the length of RT is determined by the equation 150x + 18. Solving the equations using the given options, we find that RZ = 134, RT = 330, and x = 17.
Given that Z is the midpoint of RT, we can conclude that RZ is equal to the same length as ZT. Using the given information, we have the following equations:
RZ = 8x - 10
RT = 150x + 18
From the options provided:
For option 1: RZ = 134 and RT = 268x = 22. Substituting these values into the equations: 134 = 8x - 10 and 268 = 150x + 18. Solving these equations, we find that x = 17 and RT = 330.
For option 2: RZ = 150 and RT = 300x = 20. Substituting these values into the equations: 150 = 8x - 10 and 300 = 150x + 18. Solving these equations, we find that x = 20 and RT = 418.
For option 3: RZ = 300 and RT = 150x = 20. Substituting these values into the equations: 300 = 8x - 10 and 150 = 150x + 18. Solving these equations, we find that x = 38 and RT = 756.
Therefore, the correct option is: RZ = 134, RT = 330, and x = 17.
The probable question may be:
If Z is the midpoint of
RT , what are x,RZ, and RT? where RZ=8x-10 and RT=150
x=17,RZ=134, and RT=330
x=22,RZ=150, and RT=300
x=20,RZ=150, and RT=300
x=20,RZ=300, and RT=150