Math Problem Statement

What is the total length of segment JL based on the lengths of segments JK and KL?

Solution

The image shows a line segment JLJL, with a point KK located between JJ and LL. The distances are labeled as:

  • JK=0.75cmJK = 0.75 \, \text{cm}
  • KL=0.35cmKL = 0.35 \, \text{cm}

To find the total length of segment JLJL, we simply add the two distances:

JL=JK+KL=0.75cm+0.35cm=1.10cmJL = JK + KL = 0.75 \, \text{cm} + 0.35 \, \text{cm} = 1.10 \, \text{cm}

Thus, the length of JLJL is 1.10cm1.10 \, \text{cm}.

Would you like further details or have any other questions?

Here are 5 related questions to explore this further:

  1. What would the distance be if JKJK was doubled?
  2. How would you calculate the midpoint of JLJL?
  3. What fraction of JLJL is JKJK?
  4. If the total length of JLJL were unknown, how could you solve for JLJL given JKJK and KLKL?
  5. How could this be applied to a coordinate plane to calculate distances?

Tip: When adding measurements, always make sure the units are consistent to avoid errors in calculation.

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Math Problem Analysis

Mathematical Concepts

Geometry
Line Segments

Formulas

JL = JK + KL

Theorems

Segment Addition Postulate

Suitable Grade Level

Grade 6-8