The value of x is 11
Explanation:
Given that the triangles UVW and UST are similar.
Since, the triangles are similar, then their sides are proportional.
Thus, we have,
[tex]\frac{5x+11}{18}=\frac{88}{24}[/tex]
Multiplying both sides by 18, we get,
[tex]5x+11=\frac{88(18)}{24}[/tex]
Simplifying, we get,
[tex]5x+11=\frac{1584}{24}[/tex]
Dividing, we get,
[tex]5x+11=66[/tex]
Subtracting both sides by 11, we have,
[tex]5x=55[/tex]
Dividing both sides by 5, we have,
[tex]x=11[/tex]
Thus, the value of x is 11
