If points a,b,c,d and ,e are collinear and in that order. Find AC if AE = x+50 and CE=x+32

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lidaralbany lidaralbany · Answer 1 · 2019-08-29T07:41:26+02:00

Hence, we get: AC= 18

It is given that:

A,B,C,D and E are collinear and in that order.

Also, we are asked to find the length of the line segment AC.

given that the length of the line segment AE is:

AE=x+50

and the length of the line segment CE is given by:

CE=x+32

Now we know that:

the length of the line segment AC is length of line segment AE minus the length of the line segment CE.

i.e.

[tex]AC=AE-CE\\\\AC=x+50-(x+32)[/tex]

on opening the parentheses term we have:

[tex]AC=x+50-x-32\\\\AC=x-x+50-32\\\\AC=0+18\\\\AC=18[/tex]

xero099 xero099 · Answer 2 · 2021-08-19T21:16:37+02:00

The Line Segment AC has a length of 18 units.

From Geometry and definition of Line Segment, we know that measure of the Line Segment AE is:

[tex]AE = AC + CE[/tex] (1)

If we know that [tex]AE = x + 50[/tex] and [tex]CE = x + 32[/tex], then the measured of the Line Segment AC is:

[tex]AC = AE - CE[/tex]

[tex]AC = (x +50) - (x+32)[/tex]

[tex]AC = 18[/tex]

The Line Segment AC has a length of 18 units.

Please see this question related to Line Segments: https://brainly.com/question/18379737