Question

If the triangles are similar, find the value of x.

Answer 1

x=25

Explanation:

the triangles are similar

so as we know

when two triangles are similar the rotio of triangles is equal

now let's solve it

to understand the solving steps

you need to know about

• equation with fraction
• PEMDAS

according to the question

`(24)/(30 ) = (x + 7)/(2x - 10)`

`(4)/(5) = (x + 7)/(2x - 10)`

`4(2x - 10) = 5(x + 7) \: (cross \: multiplication)`

`8x - 40 = 5x + 35`

`8x - 5x = 35 + 40`

`3x = 75`

`x = 25`