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If you cannot see the pic:

Points A,B, and C are collinear. Point B is between A and C. Find the length indicated.
BC = x + 15, AC = 14, and AB = x + 7.
Find AB

a) 4
b) 5
c) 3
d) 6​

If you cannot see the picPoints AB and C are collinear Point B is between A and C Find the length indicatedBC x 15 AC 14 and AB x 7Find ABa 4b 5c 3d 6 class=

Respuesta :

akposevictor

Answer:

A. 3

Step-by-step explanation:

Given,

[tex] BC = x + 15 [/tex],

[tex] AC = 14 [/tex]

[tex] AB = x + 7 [/tex], since A, B, and C are collinear, therefore, based on the segment addition postulate:

[tex] AB + BC = AC [/tex].

Thus, substituting the values into the equation, we have:

[tex] (x + 7) + (x + 15) = 14 [/tex]

Solve for x.

[tex] x + 7 + x + 15 = 14 [/tex]

[tex] 2x + 22 = 14 [/tex]

Subtract 22 from both sides

[tex] 2x = - 8 [/tex]

Divide both sides by 2

[tex] x = -4 [/tex]

[tex] AB = x + 7 [/tex]

Plug in the value of x

[tex] AB = -4 + 7 = 3 [/tex],

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