X equals 180-the angle adjacent to the x.
Answer:
x = 51
58 and 71
Step-by-step explanation:
109 + x = 180
Subtract 109 from both sides
x = 71
Since it's opposite angles 58 = 58
71 + 58 + x = 180
129 + x = 180
Subtract 129 from both sides
x = 51
Answer:
a) There is outlier (lower category), but this outlier seem certain to be due to an error.
b) There is outlier (upper category), this outlier seem certain to be conceivably correct.
Step-by-step explanation:
a) The outlier in the rock weight is certain to be due to an error. As shown, the rock was weighed five time to ascertain the actual weight or perhaps to known the mean weight. <em>Thus, having a value 4.91 can not be true. It can only be due to an error of recording the values.</em> It suppose to be recorded as 49.1.
b) Since this was a sample of annual income of five different families, it quite possible that a particular family annual income is $1, 200, 000. Hence, we cannot regard this outlier an error, rather conceivably true.
See attached for the box plot of the two data sets.
If this is for factoring, here’s how to do it.
7. 45n^2-5
-first, ask yourself what common factor does 45n^2 and 5 have? The answer is that they’re both divisible by 5
-next you want to expand this expression by dividing 5 out and rewriting it in multiplication. If you completely remove the 5 from the expression, you have created a new and different expression (which is not the goal). And so you will have: 5(9n^2-1)
-now we have to expand 9n^2-1. We know that (a-b)(a+b)=a^2-b^2; once you foil and multiply the expression, you’ll notice you cancelled ab with ab. So for this problem, you need to see what will make 9 and 1 once you square them(It’s 3 and 1).
-what you should have now is 5(3n-1)(3n+1). But ways check by foiling your answer to see if you end up with the same expression.
9. 45a^3-80a
what is similar about 45a^3 and 80a?
- both divisible by 5a
5a(9a^2-16)
what do you square to get 9 and 16
- 3 and 4
5a(3a-4)(3a+4)
When it comes to bigger numbers, use the quadratic formula to find the variables that‘ll be part of your factored answers(Remember to apply the opposite sign/operation when you insert the numbers you got from the formula - because the numbers from the formula are the solutions ex. If I got 3 and -4 from the formula, my factored expression would be (X-3)(X+4))
The answer is D. <span>transitive property (algebra lesson)
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