Question

I'm the diagram below abc-dec what is the value of x?

Answer 1

x = 28

u have 2 similar triangles with a scale factor of 1/7

Answer 2

we know that

Triangles ABC and DEC are similar triangles

so

`(AB)/(AC) =(ED)/(DC)`

substitute the values

`(42)/(x) =(6)/(32-x)`

`42*(32-x)=6*x`

`7*(32-x)=x`

`224-7x=x`

`8x=224`

`x=28`

therefore

the answer is

The value of x is equal to
`28`