Question

In the similar triangles below, solve for the value of X.

Answer 1

Solution :-

`\sf \bull \large \: (3x + 1)/(10) = (7x - 1)/(22)`

On cross multiplication

`\large \tt \: 22(3x + 1) = 10(7x - 1)`

`\large \tt \: 66x + 22 = 70x - 10`

`\large \tt \: 70x - 66x = 22 - 10`

`\large \tt \: 4x = 12`

`\large \tt \: x = 3`

Answer 2

9514 1404 393

Answer:

x = 8

Explanation:

Corresponding segments are proportional.

(3x +1)/10 = (7x -1)/22

11(3x +1) = 5(7x -1) . . . . . . multiply by 110

33x + 11 = 35x -5 . . . . . . eliminate parentheses

16 = 2x . . . . . . . . . . . add 5-33x to both sides

8 = x . . . . . . . . . . divide by 2