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3 years ago

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

Mathematics

2 answers:

Mariana [72]3 years ago

6 0

Answer:

x = 14

Step-by-step explanation:

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

then solve for x

bekas [8.4K]3 years ago

3 0

<u>Answer:</u>

x = 14

<u>Step-by-step explanation:</u>

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

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=======================================================

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