Question

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

Answer 1

9514 1404 393

Answer:

  x = 8

Step-by-step 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

Answer 2

Answer:

Solution :-

$\sf \bull \large \: \dfrac{3x + 1}{10} = \dfrac{7x - 1}{22}$

On cross multiplication

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

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

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

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

$\large \tt \: x = 3$