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,

`(LM)/(LR)=(LN)/(LS)`

`(18)/(2x-18)=(30)/(10)`

`(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.

`(72)/(6)=x`

`12=x`

Therefore, the correct option is A.