VK = VY+YK by the segment addition postulate. Basically adding two segments along a straight line forms a longer segment. In this case, VY and YK combine to form VK
Since VK = x and VY = 22, this means...
VK = VY+YK
x = 22+YK
x-22 = YK
YK = x-22
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Notice the arc marks where the point T is located. These markings tell us that the two angles VTY and YTK are congruent angles. Because of this, we can use the angle bisector theorem which says that the ratio of the corresponding sides are congruent.
In short, we can form this ratio
VT/VY = KT/KY
which is the ratio of the side adjacent to the angle, to the side opposite the angle
Plug in the given values and solve for x
VT/VY = KT/KY
77/22 = 87.5/(x-22)
77(x-22) = 22*87.5
77(x-22) = 1925
77x-77*22 = 1925
77x-1694 = 1925
77x = 1925+1694
77x = 3619
x = 3619/77
x = 47
Answer: 47
Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.
Fundamental counting theorem:
States that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence .
- For the 3 numbers, there are 10 outcomes, hence
Then:
17,576,000 different license plates can be manufactured.
To learn more about the fundamental counting theorem, you can take a look at brainly.com/question/24314866
Answer:
the price of the shoes is $20
Step-by-step explanation:
According to the question, The computation of the price of the shoes is shown below:
Data provided in the question
0.05x = 1
Based on the above information
We now solve for x
x = 1 ÷ 0.05
It can be written as
= 100 ÷ 5
= $20
hence, the price of the shoes is $20
35, 36, 37, 38, 39, 40, 41, 42, 43, 44
Answer: The larger cylinder would 90cm^3
Step-by-step explanation:
If both have a base area of 10cm^3
Try to work the problem normally and just add the cube as your unit. 6cm is your height for the small cylinder so add 3 meaning the large will be 9cm tall. Then multiply, 10cm by 9cm = 90cm^3.
The formal is V=pi r^2 h
Hopefully this helps.