Use the relationship between the angles in the figure to answer the question. Which equation can be used to find the value of x?
1 answer:
The sum of all the angles made by a straight line is 180°. Then the value of x is 61°.
<h3>What is an angle?</h3>Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
The angles are shown on the diagram.
The angles are 52° and 67°. And let the other angle be x.
We know that the sum of all the angles made by a straight line is 180°.
Then we have
x + 52° + 67° = 180°
On simplifying, we have the value of x.
x = 61°
Thus, the value of x is 61°.
More about the angles link is given below.
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<h3>Answer: 120 different ways</h3>
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Explanation:
There are...
- 6 ways to select the first place winner
- 5 ways to pick the second place winner
- 4 ways to pick the third place winner
We start with 6, and count down by 1 each time we fill up a slot. We stop once the third slot is filled or accounted for. The countdown is to ensure that we don't pick the same person twice. From here, multiply those values: 6*5*4 = 30*4 = 120
Interestingly, this is equal to 5! = 5*4*3*2*1 = 120 because the 3*2 becomes 6 and that *1 at the end doesn't affect things. Though usually results of permutation problems don't always end up like this. The order matters because a result like ABC is different from BAC, where A,B,C,D,E,F are the six school organizations.
As a slightly longer way to do the problem, you can use the nPr formula which is where n = 6 and r = 3 in this case. The exclamation marks indicate factorial. If you go this route, you should find that one of the steps will involve 6*5*4.