The value of x is 299
Explanation:
It is given that [tex]RSTU\sim WXYZ[/tex]
Since, the two trapezoids are similar, their corresponding sides of the two trapezoids are proportional.
Thus, we have,
[tex]\frac{RS}{WX}=\frac{ST}{XY}[/tex]
Substituting the values of these sides, from the figure, we get,
[tex]\frac{391}{170}=\frac{x}{130}[/tex]
Multiplying both sides by 130, we get,
[tex]\frac{(130)391}{170}=x[/tex]
Multiplying the numerator, we get,
[tex]\frac{50830}{170} =x[/tex]
Dividing, we have,
[tex]299=x[/tex]
Thus, the value of x is 299.
