∠3 and ∠6 are alternate interior angles. If m∠3 = 75, what is the measure of ∠6
1 answer:
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Answer:
See below.
Step-by-step explanation:
So, we have:
Recall that secant is simply the reciprocal of cosine. So we can:
Now, recall the unit circle. Since cosine is negative, it must be in Quadrants II and/or III. The numerator is the square root of 3. The denominator is 2. The whole thing is negative. Therefore, this means that 150 or 5π/6 is a candidate. Therefore, due to reference angles, 180+30=210 or 7π/6 is also a candidate.
Therefore, the possible values for theta is
5π/6 +2nπ
and
7π/6 + 2nπ
X = amount of seeds.
y = amount of dried fruits.
we know the snack mix contains both, and we know is 10oz, thus x + y = 10, whatever ounces "x" and "y" are.
how much is it for "x" ounces if each one costs $1.5? well is just 1.5*x or 1.5x.
how much is it for "y" ounces if each one costs $2.5? well is just 2.5*x or 2.5x.
the mix contains 10 ounces, each of which costs $2.2 each, how much will it be then for 10 oz? well, is just 10 * 2.2, or $22.
since the whole 10 oz snack mix costs 22 bucks, then 1.5x + 2.5y = 22.
how many ounces of dried fruit is there anyway? well, y = 10 - x.
y = amount of dried fruits.
we know the snack mix contains both, and we know is 10oz, thus x + y = 10, whatever ounces "x" and "y" are.
how much is it for "x" ounces if each one costs $1.5? well is just 1.5*x or 1.5x.
how much is it for "y" ounces if each one costs $2.5? well is just 2.5*x or 2.5x.
the mix contains 10 ounces, each of which costs $2.2 each, how much will it be then for 10 oz? well, is just 10 * 2.2, or $22.
since the whole 10 oz snack mix costs 22 bucks, then 1.5x + 2.5y = 22.
how many ounces of dried fruit is there anyway? well, y = 10 - x.