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

$\frac{AB}{AC} =\frac{ED}{DC}$

substitute the values

$\frac{42}{x} =\frac{6}{32-x}$

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

$7*(32-x)=x$

$224-7x=x$

$8x=224$

$x=28$

therefore

the answer is

The value of x is equal to $28$