Set up a proportional fraction relating RSV and RTU. Before doing that, sort out what RT is equal to;
[tex]RT =20 + 28 =48[/tex]
Now, we can equate SR/SV with RT/TU. This is something we can do because they are similar, and therefore should have equal ratios between sides.
[tex]\frac{20}{3x-2} =\frac{48}{7x-3}[/tex]
Cross multiply them, and solve for x.
[tex]20(7x-3)=48(3x-2)\\140x-60=144x-96\\-4x=-36\\x=9[/tex]
That being said, the little cutout at the top left claims the answer is 8. If you verify my answer, it works out.
