Question

what point on the number - line is 2/5 the distance from the point 21 to the point - 4? write the answer only.
which 2 steps are not in order?
the images below are the steps used to copy a segment.
7 and 8 are reversed
6 and 7 are reversed
5 and 6 are reversed
4 and 5 are reversed

Explanation:

Part 1:

Step1: Find the distance between the two points

The two - points are 21 and 47. The distance $d=47 - 21=26$.

Step2: Calculate 2/5 of the distance

$\frac{2}{5}\times26=\frac{52}{5} = 10.4$.

Step3: Find the point on the number - line

The point is $21+10.4 = 31.4$.

When copying a segment, first we have the original segment. Then we set the compass width to the length of the original segment. After that, we draw an arc from one end - point of the new segment. The correct order of steps for copying a segment is such that we first create the basic setup for the new segment and then use the compass to mark the length. In the process of copying a segment, the step of having the arc drawn (step 5) should come before the step of having the new segment with endpoints marked (step 6). So steps 5 and 6 are out of order.

Answer:

$31.4$

Part 2: