Do you guys know what this is

Question

asked Dec 17, 2021 72.6k views

2 Answers

Vlad Pulichev · Answer 1 · 2021-12-23T09:46:26+0000

Set up a proportional fraction relating RSV and RTU. Before doing that, sort out what RT is equal to;

RT =20 + 28 =48

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.

(20)/(3x-2) =(48)/(7x-3)

Cross multiply them, and solve for x.

$20(7x-3)=48(3x-2)\\140x-60=144x-96\\-4x=-36\\x=9$

That being said, the little cutout at the top left claims the answer is 8. If you verify my answer, it works out.