Given: AI = 3x- 2 and MC = 9x- 13 %3D %3D Questions: What is the value of x? How did you solve for x? What is the sum of AI + MC? Why?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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ANSWER THE QUESTION NUMBER 4 AND 5 ONLY!! 

In AMCG, A and I are the midpoints of MG and GC, respectively. Consider each given information
Solving a Problem Using the Middle Theorem
Activity 12:Go for It!
In AMCG, A and I are the midpoints of MG and GC. respectively, Consider each given information
and answer the questions that follow.
1. Given: AI = 10.5
%3D
Questions:
M
C
What is MC?
How did
you solve for MC?
A
2. Given: CG = 32
Questions:
What is GI?
G
How did you solve for GI?
3. Given: AG=7 and CI = 8
Questions:
What is MG + GC?
How did you solve for the sum?
4. Given: AI = 3x – 2 and MC = 9x– 13
Questions:
What is the value of x?
How did you solve for x?
What is the sum of AI + MC? Why?
5. Given: MG = CG, AG- 2y- 1, IC = y+ 5
Questions:
What is the value of y?
How did you solve for y?
How long are MG and CG? Why?
Transcribed Image Text:In AMCG, A and I are the midpoints of MG and GC, respectively. Consider each given information Solving a Problem Using the Middle Theorem Activity 12:Go for It! In AMCG, A and I are the midpoints of MG and GC. respectively, Consider each given information and answer the questions that follow. 1. Given: AI = 10.5 %3D Questions: M C What is MC? How did you solve for MC? A 2. Given: CG = 32 Questions: What is GI? G How did you solve for GI? 3. Given: AG=7 and CI = 8 Questions: What is MG + GC? How did you solve for the sum? 4. Given: AI = 3x – 2 and MC = 9x– 13 Questions: What is the value of x? How did you solve for x? What is the sum of AI + MC? Why? 5. Given: MG = CG, AG- 2y- 1, IC = y+ 5 Questions: What is the value of y? How did you solve for y? How long are MG and CG? Why?
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