<h3>
Answer: D) 95</h3>
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Explanation:
First, let's calculate angle BYC. This is the angle formed by the chords that subtend the arcs mentioned. This angle faces or is aimed toward the direction of the arcs. To find this angle, we'll average the arc measures like so:
angle BYC = (arcAD + arcBC)/2
angle BYC = (50+120)/2
angle BYC = 170/2
angle BYC = 85 degrees
Then we'll use the idea that angles BYC and DYC are supplementary (aka they form a straight 180 degree angle)
angleBYC + angleDYC = 180
angleDYC = 180 - angleBYC
angleDYC = 180 - 85
angleDYC = 95 degrees
which is why the answer is choice D.
Answer:
4 2/4 or 4 1/2
Step-by-step explanation:
If you add 3/4 6 times you will get 4 2/4 or 4 1/2.
We know that
in the IV quadrant
cos theta is positive
and
sin theta is negative
so
cot theta=cos theta/sin theta--------> cot theta must be negative
sec theta=1/cos theta------> sec theta must be positive
therefore
the answer is the option
<span>A. cannot be true because sec(theta) is greater than zero in quadrant 4</span>
Here is a video:
Website:
1. https://www.khanacademy.org/math/pre-algebra/pre-algebra-fractions/pre-algebra-div-fractions-word-problems/v/dividing-a-fraction-by-a-whole-number-word-problem
2. https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-dividing-fractions/v/dividing-fractions-example
