Please answer the following questions ! Very urgent
2 answers:
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Answer:
x=23°; θ=87°
Step-by-step explanation:
These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:
Now, using algebra, we can solve for x:
Plugging x back into the equation, we get:
Therefore, the total angle is equal to 87° and x is equal to 23°.
Hope this helps!
Answer:
16.7%.
Step-by-step explanation:
There are initially pencils in the bag.
Take a pencil out of this bag of 47 pencils. 15 out of the 47 pencils blue. Let represent the event of getting a blue pencil on the first pick. The probability of getting a blue pencil is:
.
There are now pencils left in the bag. However, given that the first pencil removed from the bag is blue, the number of red pencils in the bag will still be 24. Take another pencil out of this bag of 46 pencils. Let
represent the event of getting a red pencil on the second pick. The possibility that the second pencil is red given that the first pencil is blue will be:
.
The question is asking for the possibility that the first pencil is blue and the second pencil is red. That is:
.