<h3>
Answer: 6</h3>
Explanation:
List list the multiples of each value
- multiples of 2 = {2, 4, 6, 8, 10, ...}
- multiples of 3 = {3, 6, 9, 12, 15, ...}
- multiples of 6 = {6, 12, 18, 24, ...}
In each list, we see 6 show up. This is the smallest multiple that is in common; therefore, the LCM is 6
Side note: The LCM is useful to help add and subtract fractions.
Answer: Pick an x value like x = 2
Note that f(2) = 1 and g(2) = 2. This shows we've doubled the f(x) value to get g(x). Therefore k = 2.
Or you could pick on x = 4 to see f(4) = 2 and g(4) = 4. The output of f(x) has been doubled as well.
It doesn't matter what x is since we'll have this doubling effect go on. I recommend picking x values where the points on the blue graph land perfectly on a grid location. Something like x = 5 seems a bit tricky.
:
A triangle a can’t have more than 1 obtuse angle because all angles have to equal 180 degrees, and an obtuse angle is larger then 90 degrees. If it had more than 1 obtuse angle, the angles wouldn’t equal 180 degrees and you wouldn’t be able to make a third angle.
Answer and Step-by-step explanation:
When making a perpendicular line, you take 2 points on a straight line.
- You put the compass on the two points, making marks above and below to be able to draw the line.
When making an angle bisector line, you use the angle and 2 points to make a straight line that will bisect the angle.
- You put the compass on the angle, making an arc from the two lines that join to make the angle. Then, you put your compass on where the arc meets the lines, and make a mark, which you then draw a line through.
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