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Fill in the missing reasons for the following two-column proof for the following information. given: m is the midpoint of cd; cm = 3x – 10; md = 6x – 22 prove: x = 4 statement reason m is the midpoint of cd; cm = 3x – 10 ; md = 6x - 22 1. ? cm = md 2. ? 3x – 10 = 6x – 22 substitution -3x – 10 = -22 subtraction property of equality -3x = -12 3. ? x = 4 division property of equality

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abidemiokin

Midpoint  is the middle segment of a given line. Since md = cm = 2 hence the point m is the midpoint of cd

How to prove the midpoint of a line?

A line is a distance between two points. Given the line cd with "m" as the  midpoint, the distance between cm and md will be equal that is:

md = cm

Given the following parameters

md = 6x - 22
cm = 3x - 10


Equate both expressions

6x - 22 = 3x - 10
6x - 3x = -10 + 22
3x = 12

x = 4

subtitute

cm = 3x - 10
cm = 3(4) - 10
cm =

Similarly:

md = 6x -22

md = 6(4) --22
md =

Since md = cm = 2 hence the point m is the midpoint of cd

Learn more on midpoint here: https://brainly.com/question/5566419

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