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In this lesson, we will learn how to find the length of a line segment by constructing a multistep linear equation and solving it.

Q1:

Find the length of π π .

Q2:

Q3:

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Q5:

Q6:

Q7:

Q8:

Q9:

Q10:

Q11:

Q12:

If πΆ divides π΄ π΅ by the ratio 4 βΆ 2 7 externally, find π΄ πΆ π΄ π΅ and π΄ π΅ π΅ πΆ .

Q13:

Given that the points are evenly spaced along the line, find the length of πΉ πΊ .

Q14:

If πΆ divides ο π΅ π΄ by a ratio of 1 1 βΆ 2 5 internally, find π΄ πΆ π΅ πΆ and π΄ πΆ π΄ π΅ .

Q15:

Given that the points are evenly spaced along the line, find the length of π π .

Q16:

In the following figure, points π΄ , π΅ , πΆ , π· , and πΈ are collinear. If π΄ πΈ = 8 2 c m , π΅ π· = 3 6 c m , and π΅ πΆ = πΆ π· = π· πΈ , find the length of π΄ π· .

Q17:

π΄ is the midpoint of π΅ πΆ , where π΅ π΄ = 1 0 π₯ β 1 7 and π΄ πΆ = 6 π₯ + 7 . Find π₯ and π΅ πΆ .

Q18:

Find the value of π₯ given π π΄ = π π΅ .

Q19:

Point π is on the line between π and π . If π π = 2 π₯ β 3 , π π = 4 π₯ + 8 , and π π = 1 0 π₯ β 5 , what is the length of π π ?

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