Segment Addition and Algebraic Equations

This video tutorial from YourTeacher.com introduces a geometry problem involving the segment addition postulate. The problem requires finding the lengths of segments AB and BC given the total length of segment AC. The tutorial explains how to set up and solve the equation 6X + 5 + 4X = 45 to find the value of X, and then uses this value to calculate the lengths of the segments. The video is part of a larger collection of math lessons available on YourTeacher.com.

What is the main topic of the video?

• History of Mathematics

• Segment Addition Postulate

• Introduction to Algebra

• Geometry Basics

What is the length of segment AB given in the problem?

• 4X

• 6X + 5

• 45

• 5X + 6

According to the Segment Addition Postulate, if B is between A and C, what is the relationship between the segments AB, BC, and AC?

• AB = AC - BC

• AB + AC = BC

• AB = BC + AC

• AB + BC = AC

What equation is set up to solve for x in the problem?

• 6X + 5 = 45

• 4X + 5 = 45

• 6X + 4X = 45

• 6X + 5 + 4X = 45

What is the value of x after solving the equation?

• 3

• 4

• 5

• 6

What is the length of segment BC after substituting the value of x?

• 20

• 29

• 16

• 24