Answer:
1
Step-by-step explanation:
BD = BC + CD = (7 + 17x)
BE = BA + AE = (8 + 13x)
By intersecting secants theorem:
[tex] BC\times BD = BA\times BE[/tex]
[tex] 7(7+17x) = 8(8+13x)[/tex]
[tex] 49+119x = 64+104x[/tex]
[tex]119x -104x = 64-49[/tex]
[tex]15x = 15[/tex]
[tex]x = \frac{15}{15}[/tex]
[tex]x =1[/tex]
