Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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

Sagot :

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

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.