Answer:
x = 25
Step-by-step explanation:
If JK and MN are parallel lines, then ∠JKL = ∠LMN = 61°
By the opposite angle rule, ∠JLK = 39°
In a triangle three angles sum up to 180°
so, ∠JLK + ∠JKL +LJK = 180°
39° + 61° + 3x+ 5 = 180°
3x = 75
x = 25
The answer would b the 3rd option
<h3>
Answer: Choice B</h3>
The set notation includes all values from -5 to 0, but the domain only includes the integer values
eg: something like -1.2 is in the second set, but it is not in the set {-5,-4,-3,-2,-1}
==========================================================
Further explanation:
Let's go through the answer choices one by one
- A. This is false because 0 does not come before -5, but instead -5 is listed first. The order -5,-4,-3,-2,-1,0 is correct meaning that
is the correct order as well. - B. This is true. A value like x = -1.2 is in the set
since -1.2 is between -5 and 0; but -1.2 is not in the set {-5, -4, -3, -2, -1, 0}. So the distinction is that we're either considering integers only or all real numbers in this interval. To ensure that we only look at integers, the student would have to write
. The portion
means "x is in the set of integers". The Z refers to the German word Zahlen, which translates to "numbers". - C. This is false. The student used the correct inequality signs to indicate x is -5 or larger and also 0 or smaller; basically x is between -5 and 0 inclusive of both endpoints. The "or equal to" portions indicate we are keeping the endpoints and not excluding them.
- D. This is false. Writing
would not make any sense. This is because that compound inequality breaks down into
. Try to think of a number that is both smaller than -5 AND also larger than 0. It can't be done. No such number exists.
Joshua's rule was to add 2/6 or 1/4 (same thing) to the previous number. The missing number in Joshua's sequence is 1 1/6.