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viktelen [127]
3 years ago
14

Which value of x would make FG II BC? 1 3 6 9

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
7 0
 x - 1        x + 1
------ = --------------
x + 3       x + 6

if x = 9
8/ 12 = 10/15

12 (10) = 8(15)
120 = 120

so 
answer is 9 (last choice)

ehidna [41]3 years ago
6 0

Answer: The value of x is 9.

Explanation:

It is given that FG || BC.

If a transversal line intersect two parallel lines then the corresponding angles are same. There in triangle ACB and AGF,

\angle GFA=\angle CBA

\angle AGF=\angle ACB

Angle A is common is both triangles.

\frac{FA}{BA}= \frac{GA}{CA}

\frac{x+1}{(x+1)+(x+6)}= \frac{x-1}{(x-1)+(x+3)}

\frac{x+1}{(2x+7}= \frac{x-1}{(2x+2)}

(x+1)(2x+2)=(x-1)(2x+7)

2x^2+4x+2=2x^2+5x-7

4x+2=5x-7

x=9

Therefore, the value of x is 9.


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