If z is the midpoint of rt what are x, rz, and rt

Option C is correct. The measure of x, RZ, and RT is 13, 24, and 48 respectively

A midpoint is a point that divides a lie into two equal parts.

If Z is the midpoint of RT, this means that the following is true:

Given the following expression:

RZ = 4x - 28

ZT = 24

According to the second statement

RZ = ZT

4x - 28 = 24

4x = 24 + 28

4x = 52

x = 52/4

x = 13

Get the length of RZ

RZ = 4x - 28

RZ = 4(13) - 28

RZ = 52 - 28

RZ = 24

Get RT

RT = RZ + ZT

RT = 24 + 24

RT = 48

Hence the measure of x, RZ, and RT is 13, 24, and 48 respectively

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C

Step-by-step explanation:

Given that Z is the midpoint of RT, then

RZ = ZT, substitute values

4x - 28 = 24 ( add 28 to both sides )

4x = 52 ( divide both sides by 4 )

x = 13

RZ = 4x - 28 = (4 × 13) - 28 = 52 - 28 = 24

RT = RZ + ZT = 24 + 24 = 48

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step-by-step explanation:

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