Answer:
[tex]x=10[/tex]
Step-by-step explanation:
We can utilize the Triangle Propotionality Theoerm.
Therefore, we acquire that:
[tex]\displaystyle \frac{14}{x-3}=\frac{16}{x-2}[/tex]
Solve for x. Cross-multiply:
[tex]16(x-3)=14(x-2)[/tex]
We can first divide everything by 2:
[tex]8(x-3)=7(x-2)[/tex]
Distribute:
[tex]8x-24=7x-14[/tex]
Add 24 to both sides:
[tex]8x=7x+10[/tex]
Subtract 7x from both sides. Therefore, the value of x is:
[tex]x=10[/tex]
