Question

Punctele A,B si C sunt coliniare in aceasta ordine.Aflati lungimea segmentului:a)AB,daca AC=20cm,BC=0,12dm

Answer 1

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

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

`AC=AB+BC` ----> by Addition segment postulate

substitute the given values in centimeters

Remember that

`1\ dm=10\ cm`

so

`0.12\ dm=0.12(10)=1.2\ cm`

`20=AB+1.2`

solve for AB

`AB=20-1.2\\AB=18.8\ cm`

Convert to dm

`18.8\ cm=18.8/10=1.88\ dm`

therefore

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