WXYZ is an isosceles trapezoid. WY=8x-3 and ZX=19. Find the value of x.

Given:
WXYZ is an isosceles trapezoid. WY=8x-3 and ZX=19.
To find:
The value of x.
Solution:
We know that the diagonals of an isosceles trapezoid are equal. So,
[tex]WY=ZX[/tex]
[tex]8x-3=19[/tex]
Add 3 on both sides.
[tex]8x-3+3=19+3[/tex]
[tex]8x=22[/tex]
Divide both sides by 8.
[tex]x=\dfrac{22}{8}[/tex]
[tex]x=2.75[/tex]
Therefore, the correct option is B.