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Find the value of x if A,B,and C are collinear points and B is between A and C. AB=3x, BC=2x-7, AC=2x+35

2 Answers

1 vote

Answer:

x = 14

Explanation:

3x+2x-7=2x+35

then solve for x

User Stlvc
by
8.0k points
0 votes

Answer:

x = 14

Explanation:

We are given that A, B and C are collinear points and B is in between A and C.

The length from A to B is
3 x, length from B to C is
2x - 7 and AC is
2 x + 35.

We are to find the value of x.


A B + B C = A C


3 x + 2 x - 7 = 2 x + 3 5


3 x + 2 x - 2 x = 3 5 + 7


3 x = 4 2


x = \frac { 4 2 } { 3 }

x = 14

User Peauters
by
8.1k points

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