Which value of x would make TV || OS? 3 8 10 11

Question

asked Jan 13, 2021 192k views

2 Answers

Robert Gomez · Answer 1 · 2021-01-17T16:42:33+0000

Answer:

For x = 10, the lines will be parallel

Explanation:

For parallel lines in a triangle, their sides must be proportional

And,

(x+4)/(x-3) = (x+10)/(x)

Cross Multiplying

=> x(x+4) = (x-3)(x+10)

=>
x^2+4x = x^2+7x-30

=>
$x^2-x^2+7x-4x = 30\\$

=> 3x = 30

Dividing both sides by 3

=> x = 10