given the point 23 44 and 50. To determine if the right triangle, you want to find the slopes, the slope of rs the slope of S. T. And the slope of R. T. The slope is always the difference of your Y coordinate. So if it's R. S would be four minus 3/4 minus two. Difference of the Y coordinates Over the difference of the x coordinates, that would be 1/2 the scope of S. T. Using points S and T Would be 0 -4/5 -4. That's negative for over one or -4. In the soap of R. T would be zero minus 3/5 minus two, which would be negative 3/3, Which is positive one. So since we don't have any slopes that are opposite reciprocal als, then there are no perpendicular lines, so not a right triangle. Okay, no perpendicular lines.
There are 36 total possibilities when one rolls a six sided die. <span><span>(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)</span><span>(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)</span><span>(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)</span><span>(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)</span><span>(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)</span><span>(6,1)(6,2)(6,3)(6,4)(6,5)<span>(6,6). Out of these possibilities there are 3 that make 4.4 that make make 5. 5 that make 6. 6 that make 7. 5 that make 8. 4 that make 9. 3 that make 10. 2 that make 11 and 1 that makes 12. Now add the combinations 3+4+5+6+5+4+3+2+1. The answer would be 33. </span></span></span>