Step-by-step explanation:
While there are no examples available, there is the room to understand each angle type you listed, vertical angles are angles that are opposite from each other, and they are congruent (they have the same angle in degrees) now, imagine that for vertical angles, they are in an X top and bottom are equal, and the two sides are equal. For a straight angle, that is usually two angles that are right angles (90 degrees) back to back, meaning when you add 90 and 90 degrees together, you get a straight line or a 180 degree angle. An example of an acute angle is any angle less than 90 degrees, that is a real number, so imagine 25, 40, and 60 as all acute angles.
Hope this helps you identify them in your problem!
One third written as a fraction is 1/3. You can also write it as a decimal by simply dividing 1 by 3 which is 0.33.
If you multiply 0.33 with 536 you will see that you will end up with the same answer as above.
You may also find it useful to know that if you multiply 0.33 with 100 you get 33.33. Which means that our answer of 178.67 is 33.33 percent of 536.
Solution : 178.67
<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.
Factorize the quadratic.
We have 
, so
Now, both 
and 
(since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for
So the solution to the inequality is the set
