Angles that create a triangle always add up to 180.
To find sides that create triangles, we have to use the Triangle Inequality Theorem.
It's where side A + B will <em>always</em> be greater than side C
and B + C will always be greater than side A
<em>and</em> A + C will always be greater than side B.
So let's check all of these answers and pick the one that's incorrect.
A.
10 + 25 + 145 = 180?
Correct!
B.
9 + 15 > 9?
Correct!
15 + 9 > 9?
Correct!
9 + 9 > 15?
Correct!
C.
40 + 70 + 60 = 180?
Incorrect! 40 + 70 + 60 = 175 which is less than 180.
The answer is three angles measuring 40 m, 70 m, and 60 m.
Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
We can solve this by setting up 2 equations. We can use any letters like. For now, I'll use x and y.
So now we know that x - y = 0.7 and x + y = 1.
Now we can eliminate one of the letters by adding or subtracting one equation from the other. I am going to eliminate y by adding the two together (the y and the -y cancel).
This gives us 2x = 1.7, and so x = 1.7 ÷ 2 = 0.85
Finally, we can substitute x for 0.85 back into one of the original equations to figure out what y equals. I'm going to use x + y = 1.
So now we have 0.85 + y = 1, so y = 1 - 0.85 = 0.15
The numbers, therefore, are 0.85 and 0.15 (you can check by using the other equation).
Hope this helps!
Answer:
C) 
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The probability that Mae will roll an odd number
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Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given that Mae has a number cube with 6 sides that are numbered 1 through 6.</em>
<em>n(S) = { 1,2,3,4,5,6,} = 6</em>
<em>Let 'E ' be the event of odd numbers</em>
<em>Mae will roll an odd number</em>
<em>n(E) = {1, 3, 5} = 3</em>
<u>Step(ii):-</u>
<u>The probability that Mae will roll an odd number</u>
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Since they are asking for the unit rate in bolts per wing nut, you can think of it as bolts per ONE wing nut.
To figure that out, you can divide 100 bolts by 2 wing nuts to get 50 bolts per wing nut.
Answer:
11
Step-by-step explanation:
If the set of numbers are not in least to greatest first set them up into their positions. But since this set is already in least to greatest we can go to the next step.
6, 7, 10, 12, 12, 13
Cross off all numbers until you get to the middle:
6, 7, 10, 12, 12, 13
Find the mean of the numbers in the middle:
10 + 12 = 22
22 / 2 = 11
The answer is 11
Hope this helped.
