Question

How do I find X for this problem? I’m stuck

Answer 1

Corresponding sides of the two triangles occur in a ratio with one another. In particular, you have the relationship

`\frac6{6+x}=(10)/(15)=\frac y{y+4}`

We only need the first two parts to solve for
`x`:

`\frac6{6+x}=(10)/(15)\implies6\cdot15=10(6+x)\implies90=60+10x\implies30=10x`

`\implies\boxed{x=3}`