What is the length of side AC of the triangle? Enter your answers in the boxes.

Answer:[tex]AC=25[/tex]Step-by-step explanation:From the given figure, it can be seen that [tex]{\angle}A={\angle}C[/tex], thus ΔABC is an isosceles triangle.Therefore,[tex]AB=BC[/tex]⇒[tex]5x+5=7x-1[/tex]Solving the above equation, we get⇒[tex]5x-7x=-1-5[/tex]⇒[tex]-2x=-6[/tex]⇒[tex]x=3[/tex]Now, substituting the value of x in AC, we have⇒[tex]AC=6x+7[/tex]⇒[tex]AC=6(3)+7[/tex]⇒[tex]AC=18+7[/tex]⇒[tex]AC=25[/tex]Thus, the length of the side AC of the given triangle is 25 units.