He is not making a valid inference because he is assuming the student populations interest based on a small part/ group of the student population, his class.
Problem 1
<h3>Answer: B. M<3 would need to double.</h3>
Explanation: This is because angles 3 and 6 are congruent corresponding angles. Corresponding angles are congruent whenever we have parallel lines like this. If they weren't congruent, then the lines wouldn't be parallel. We would need to double angle 3 to keep up with angle 6.
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Problem 2
<h3>Answer: D. none of these sides are parallel</h3>
Explanation: We have angles A and C that are same side interior angles, but they add to A+C = 72+72 = 144, which is not 180. The same side interior angles must add to 180 degrees for parallel lines to form. This shows AB is not parallel to CD.
A similar situation happens with angles B and D, since B+D = 108+108 = 216. This also shows AB is not parallel to CD. We can rule out choices A and C.
Choice B is false because AD is a diagonal along with BC. The diagonals of any quadrilateral are never parallel as they intersect inside the quadrilateral. Parallel lines never intersect.
The only thing left is choice D. We would say that AC || BD, since A+B = 72+108 = 180 and C+D = 72+108 = 180, but this isn't listed as an answer choice.
<span>This is the term used to describe economic systems in which the basic economic questions are answered based on a socially, pre-established way.</span>
Answer:
the interest gathered on the loan is $250
Step-by-step explanation:
5% interest on $5,000 for one year would be $250
the total amount wlike be $5250 but the question seems to only ask for the interest
convert 5% to a decimal to multiply to find interest
0.05•5000 gives us the interest for the year
hope this helps <3
The graph of the function for values of x ranging from -6 to +6 is shown below.
<h3>Graphing a Quadratic function</h3>
From the question, we are to graph the given quadratic function
The given quadratic function is
f(x) = x² + 3x − 4
The graph of the function for values of x ranging from -6 to +6 is shown below.
The table of values are
x f(x)
-6 14
-5 16
-4 0
-3 -4
-2 -6
-1 -6
0 -4
1 0
2 6
3 14
4 24
5 36
6 50
Learn more on Graphing a quadratic function here: brainly.com/question/9028052
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