Answer:
Step-by-step explanation:
9/16=x/12
cross product
16x=9*12
16x=108
x=108/16
simplify
x=27/4
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x-3/18=12/9
x=12/9+3/18
x=24/18+3/18
x=27/18
x=3/2
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7/11=18/x+1
18/x=7/11-1
18/x=7/11-11/11
18/x=-4/11
x=18/(-4/11)=(18/1)(-11/4)=-198/4=-99/2
x=-99/2
The ratio of two sides of one right triangle is the same of the corresponding sides of any its similar triangles.
Call a, b, c the sides of a right triangle and A, B, C the sides of any of its similar triangles.
Then a/b = A/B, which means that this ratio is a constant.
The same for a/c = A/C, and b/c = B/C.
Even, the same is true for the inverses: b/a = B/A; c/b = C/B, and d/a = C/A.
Then, you can define a function for every one of these ratios. Those functions are the trigonometric functions.
x = -1/3
Explanation:
-3x-2=-1
collect like terms by adding +2 to both sides:
-3x -2 + 2 = -1 + 2
-3x = 1
Divide both sides by the coefficient of x:
coefficient of x = -3
-3x/-3 = 1/-3
x = -1/3
The vector PQ is Q-P = (2, 1). The vector SR is R-S = (2, 2). One is not a multiple of the others, so the vectors are not parallel. In a parallelogram, these vectors would be identical. PQRS is
not a parallelogram.
