Question

Find the value of x in the similar triangles

Answer 1

The value of x is 11

Step-by-step explanation:

Given that the triangles UVW and UST are similar.

Since, the triangles are similar, then their sides are proportional.

Thus, we have,

`(5x+11)/(18)=(88)/(24)`

Multiplying both sides by 18, we get,

`5x+11=(88(18))/(24)`

Simplifying, we get,

`5x+11=(1584)/(24)`

Dividing, we get,

`5x+11=66`

Subtracting both sides by 11, we have,

`5x=55`

Dividing both sides by 5, we have,

`x=11`

Thus, the value of x is 11