Question

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Answer 1

Answer:  Choice A

x = 19, RZ = 49, and RT = 98

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How to get that answer:

Z is the midpoint of RT. This midpoint splits segment RT into two equal pieces RZ and ZT

RZ = ZT

4x-27 = 49

4x = 49+27

4x = 76

x = 76/4

x = 19

So far, we can see that the answer is either choice A or choice D.

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If x = 19, then

RZ = 4x-27

RZ = 4*19-27

RZ = 76 - 27

RZ = 49

Which points us to Choice A as the final answer

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We could skip the second section entirely because we initially set RZ equal to ZT, and ZT was 49. However, I showed that section to help confirm that we had the correct x value.

Also,

RT = RZ + ZT

RT = 49 + 49

RT = 98