Question

20 points please help and explain

Answer 1

The value of x is 299

Step-by-step explanation:

It is given that
`RSTU\sim WXYZ`

Since, the two trapezoids are similar, their corresponding sides of the two trapezoids are proportional.

Thus, we have,

`(RS)/(WX)=(ST)/(XY)`

Substituting the values of these sides, from the figure, we get,

`(391)/(170)=(x)/(130)`

Multiplying both sides by 130, we get,

`((130)391)/(170)=x`

Multiplying the numerator, we get,

`(50830)/(170) =x`

Dividing, we have,

`299=x`

Thus, the value of x is 299.