Answers: perpendicular bisector; image
- The reflection of a point P across a line m is the point P' if line m is the <u> perpendicular bisector </u> of segment PP'
- Point P' is called the <u> image </u> of point P.
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Explanation:
If we were to reflect point P over line m to land on P', then we've gone from pre-image to image.
Let's say that Q is the point on segment PP' and it's also on line m. We consider Q the midpoint of segment PP' which means PQ and P'Q are the same length. This indicates P and P' are the same distance away from the mirror line, and that point Q bisects segment PP'. Also, line m is perpendicular to segment PP'. So that's where the "perpendicular bisector" comes from.
Percentage of part time employees = (part-time employees/total employees) * 100 = (6/60) * 100 = 1/10 * 100 = 10%
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in the triangle = 180°
Sum the 3 angles and equate to 180
31 + x + 4 + 3x + 9 = 180, that is
4x + 44 = 180 ( subtract 44 from both sides )
4x = 136 ( divide both sides by 4 )
x = 34
Thus
∠ S = x + 4 = 34 + 4 = 38°
∠ T = 3x + 9 = 3(34) + 9 = 102 + 9 = 111°
Answer:
<em>The third choice gives the correct sequence.</em>
Step-by-step explanation:
<u>The Number Line</u>
To represent numbers in the line, we use arrows starting from the mark for zero up to the given number. If the number is positive, the arrow points to the right and if the number is negative, the arrow points to the left.
The number -3 must be represented as an arrow to the left side of length 3. Subtracting something from the number should also point to the left side, but if the number is negative, then the new arrow points to the right side.
To subtract -1, the arrow should point to the right starting from -3
The third choice gives the correct sequence.
