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2 years ago

Find the value of x if a, b, and c are collinear points and b is between a and c. ab=12,bc=5x−2,ac=3x 20

Mathematics

1 answer:

allsm [11]2 years ago

6 0

The value of x is 5, if a, b, and c are collinear points.

According to the given question.

a, b, and c are collinear points.

Which means points a, b, and c both lie in a same line.

b is between a nd c .

Also, ab = 12

bc = 5x - 2

and ac = 3x + 20

Since, b lies in between a and c

Therefore,

ab + bc = ac

12 + 5x - 2 = 3x + 20

⇒ 10 + 5x = 3x + 20

⇒ 5x - 3x = 20 - 10

⇒ 2x = 10

⇒ x = 10/ 2

⇒ x = 5

Therefore, the value of x is 5.

Find out more information about collinear points here:

brainly.com/question/5191807

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