Answer :

calculista

Answer:

The length of the segment AB is 18.8 cm or 1.88 dm

Step-by-step explanation:

The question in English is

Points A, B and C are collinear in this order. Find the length of the segment: a) AB, if AC = 20 cm, BC = 0.12 dm

we have that

[tex]AC=AB+BC[/tex] ----> by Addition segment postulate

substitute the given values in centimeters

Remember that

[tex]1\ dm=10\ cm[/tex]

so

[tex]0.12\ dm=0.12(10)=1.2\ cm[/tex]

[tex]20=AB+1.2[/tex]

solve for AB

[tex]AB=20-1.2\\AB=18.8\ cm[/tex]

Convert to dm

[tex]18.8\ cm=18.8/10=1.88\ dm[/tex]

therefore

The length of the segment AB is 18.8 cm or 1.88 dm

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