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If Z is the midpoint of RT, what are x, RZ, and RT?

a) x=18, RZ=134, and RT=268
b) x=22, RZ=150, and RT=300
c) x=20, RZ=?, and RT=?

1 Answer

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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

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