Question

Solve for x the triangles In Each pair LMN~LRS Please help quickly and show work pleasee

Answer 1

Given:

$\Delta LMN\sim \Delta LRS$

To find:

The value of x.

Solution:

We have,

$\Delta LMN\sim \Delta LRS$

We know that the corresponding sides of similar triangles are proportional. So,

$\dfrac{LM}{LR}=\dfrac{LN}{LS}$

$\dfrac{18}{2x-18}=\dfrac{30}{10}$

$\dfrac{18}{2x-18}=3$

$18=3(2x-18)$

Using distributive property, we get

$18=3(2x)-3(18)$

$18=6x-54$

$18+54=6x$

$72=6x$

Divide both sides by 6.

$\dfrac{72}{6}=x$

$12=x$

Therefore, the correct option is A.