Let's define variables:
x1: gear 1
x2: gear 2
The relationship between gears is:
x1 / x2 = (1 1/2) / (1/2)
Rewriting:
x1 / x2 = (3/2) / (1/2)
x1 / x2 = (3 * (1/2)) / (1/2)
x1 / x2 = 3
Another unit rate is:
x2 / x1 = (1/2) / (1 1/2)
x2 / x1 = (1/2) / (3/2)
x2 / x1 = (1/2) / (3 * (1/2))
x2 / x1 = 1/3
Answer:
two unit rates to represent the gear ratio are:
x1 / x2 = 3
x2 / x1 = 1/3
9514 1404 393
Answer:
Step-by-step explanation:
The interior angle of the m-gon is ...
m-interior = 180 -360/m
The exterior angle of the k-gon is ...
k-exterior = 360/k
The required relationships are ...
m = 3k
m-interior = 14/3(k-exterior)
Substituting for m, we can write the latter relation as ...
(180 -360/(3k)) = 14/3(360/k)
Multiplying by 3k/180, we have ...
3k -2 = 28
k = (28 +2)/3 = 10
The values of k and m are 10 and 30, respectively.
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<em>Check</em>
The interior angle of the m-gon is 180 -360/30 = 168 degrees.
The exterior angle of the k-gon is 360/10 = 36 degrees.
The angle ratio is 168/36 = 14/3 as required.
Answer:
The vertex is (4,-17)
Step-by-step explanation:
