What is the slope of a line perpendicular to the line whose equation is x+y=2
2 answers:
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Call the point where BK intersects AM point X. BX is the altitude of ∆ABM, and it is also the angle bisector of angle ∠ABM. Hence ∆ABM is isosceles, and AB ≅ MB.
M is the midpoint of BC, which is 12 inches long. Hence MB is half that length, or 6 inches.
Since AB is the same length as MB, which is 6 inches, ...
... AB is 6 inches.
15 pigs and 40 sheep
10 cows is equivalent to 2 parts of the ratio, hence
= 5 ← 1 part of the ratio, hence
8 parts = 8 × 5 = 40 ← number of sheep
3 parts = 3 × 5 = 15 ← number of pigs