Answer:
x=25
Step-by-step 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
[tex] \frac{24}{30 } = \frac{x + 7}{2x - 10} [/tex]
[tex] \frac{4}{5} = \frac{x + 7}{2x - 10} [/tex]
[tex]4(2x - 10) = 5(x + 7) \: (cross \: multiplication)[/tex]
[tex]8x - 40 = 5x + 35[/tex]
[tex]8x - 5x = 35 + 40[/tex]
[tex]3x = 75[/tex]
[tex]x = 25[/tex]
