First we'll show this is a right triangle by the Pythagorean Theorem:
Since we have a right triangle, by the (converse to the) Pythagorean Theorem. We also see it's isosceles, AB=AC.
That's the end of the homework but I'll go on a bit.
Another way to show perpendicularity, essentially the same as the other two, is by a zero as the dot product of the sides as vectors, differences between vertices.
Vector AB = B - A = (3,2)
Vector AC = C - A = (-2, 3)
AB · AC = 3(-2) + 2(3) = 0
A zero dot product means
AB ⊥ AC
Your change is 0.5 because 15 - 14.50 = 0.5
Hope this helps!! :))
Answer:
hey I'm gonna help u so much just use Socratic trust me so good
Well you would figure out a common denominator for all fractions.
3 1/8
4 1/2
5 1/4
the common denominator would be 8. so multiply all the fractions by the number that would give you 8 on the bottom of the fraction
1/8 x 1 = 1/8
1/2 x 4 = 4/8
1/4 x 2 = 2/8
now you would set up your problem
3 1/8 + 4 4/8 + 5 2/8
first add the fractions
1/8 + 4/8 + 2/8 = 7/8
then add the whole numbers
3 + 4 + 5 = 12
now put the number and fractions together and you have your answer
12 and 7/8