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

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drixzzyy drixzzyy

28-08-2019
Mathematics

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

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jimrgrant1 jimrgrant1 · Answer 1 · 2019-08-28T16:22:44+02:00

jimrgrant1 jimrgrant1

28-08-2019

Answer:

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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abidemiokin abidemiokin · Answer 2 · 2021-08-19T16:40:21+02:00

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:

RZ + ZT = RT
RZ = ZT

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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