In order to prove the triangle is a right angled triangle we need to prove that the slope of the lines CA and BC and AB have any negative reciprocals.Lets find the slopes .
AB=(-1,3), (1,2) slope of AB = 2-3/1-(-1)= -1/2 slope of AB is -1/2
BC = (1,2), (-3,1) slope of BC is 1-2/-3-1= -1/-4 slope of BC is 1/4
Slope of CA =(-3,1)(-1,3) slope of 3-1/-1-(-3)=-2/-2=1
Since the slopes do not have any negative reciprocals so the triangle is not a right angled triangle
Answer:
A = 53 degree
90-37 = 53 degree
As the triangle is a right angle triangle we see complimentary to the other angles and as all angles in a triangle equal 180, we see the other two which compliment this.
Step-by-step explanation:
He paid ...
-- The cost of the lunches (100% = 1.00 of it)
-- 15% of the cost as a tip (15% = 0.15 of it)
-- 12% of the cost as sales tax (12% = 0.12 of it)
Total that he paid = (1.00 + 0.15 + 0.12) = 1.27 of $248.40
= $315.47 .
Trevor is one generous guy !
Answer:
8.47 Hours
Step-by-step explanation:
Allen can take 16 hours, while
Brianne can take 18 hours;
Therefore, in 1 hour Allen will complete a fraction of 1/16, while
in 1 hour Brianne will complete a fraction of 1/18
When working together, in 1 hour they will complete a fraction of (1/18+1/16)
= 17/144,
Therefore; to complete the whole project working together, they will take;
144/17 = 8.47 hours
Answer:
A = 46
B = 134
C = 78
Step-by-step explanation: