Segment lengths CYU

To clarify the segment lengths for CYU:

• Segment CY measures 5 units.

• Segment YU measures 8 units.

• The total length of segment CU, which connects endpoints C and U, can be calculated as the sum of segments CY and YU, equating to 13 units.

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     1. To solve this problem, we assume the points lie on the line in order: EE, FF, GG, HH, and II (where LL in EL=442EL=442 represents point II).

        Given Lengths:

        • GH=154GH=154

        • HE=356HE=356

        • EI=442EI=442

        • IF=319IF=319

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        Step 1: Find HIHI

        Using the Segment Addition Postulate for total length EIEI: EI=HE+HIEI=HE+HI442=356+HI442=356+HIHI=442−356=86HI=442−356=86

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        Step 2: Find FGFG

        Using the segment IFIF, which spans from FF to II: IF=FG+GH+HIIF=FG+GH+HI319=FG+154+86319=FG+154+86319=FG+240319=FG+240FG=319−240=79FG=319−240=79

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        Step 3: Find EFEF

        Using the segment HEHE, which spans from EE to HH: HE=EF+FG+GHHE=EF+FG+GH356=EF+79+154356=EF+79+154356=EF+233356=EF+233EF=356−233=123EF=356−233=123

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        Final Answer:

        • EF=123EF=123

        • FG=79FG=79

        • HI=86HI=86

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