so we have a 60-30-90 triangle (top one)
so since we know 6 is x (the side on the right angle and 60 degrees)
b is 2x or 2(6) = 12
a is x√3 = 6√3
for C I need to use a 45 45 90 triangle
Since b is 12 and its x√2 to find x we should write it as
x√2 = 12
√2 √2 divide by √2
x = 12/√2 but we must rationalize the denominator
12/√2 times √2/√2 = 12√2/2 and that's c
Answer:
The amount of CD's she could buy would be 3.
Step-by-step explanation:
80-20=60
60÷18 = 3 CD's
The first and crucial thing we want to take notice is that the lines DF and EG intersect at point H which creates 4 different triangles in the rhombus. The innermost angles of DGH and EFH are vertical angles and vertical angles are congruent. So if the angles of the triangles are congruent than the triangles themselves are congruent. This is supported by the vertical angles theorem.
Y=mx+b, m=(y2-y1)/(x2-x1)
m=(7-4)/(6--3)=3/9=1/3
y=x/3 +b, now use either point to solve for b, I'll use (6,7)
7=6/3 +b
7=2+b
b=5 so our line is:
y=x/3 +5 or more neatly...
y=(x+15)/3
