Suppose M is the midpoint of segment CD, CM = 5x-12 and MD = 2x + 9. What is x?

QAmmunity.org

My account
Edit my Profile
Private messages
My favorites

Ask a Question
Questions
Tags
Categories
Ask a Question

Deep Kakkar asked Jan 26, 2023

273,960 views

28 votes

Suppose M is the midpoint of segment CD, CM = 5x-12 and MD = 2x + 9. What is x?

Mathematics
high-school

Deep Kakkar asked Jan 26, 2023

by Deep Kakkar

2.7k points

0 Comments

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Your answer

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

1 Answer

19 votes

Answer:

x=7

Step-by-step explanation:

If M is the midpoint of segment CD, it means M divides CD into two equal parts (CM and MD). Therefore:

CM=MD

5x-12=2x+9

5x-2x=9+12

3x=21

x=21/3

x=7

The value of x is 7.

HamsterWithPitchfork answered Jan 30, 2023

by HamsterWithPitchfork

3.3k points

0 Comments

Your comment on this answer:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Ask a Question

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers

0 Comments

Your comment on this question:

Your answer

1 Answer

0 Comments

Your comment on this answer:

Other Questions