Answer: The coordinates of point T are (13, -6).
Step-by-step explanation: Given that point S is the midpoint of segment RT, with coordinates R(-9, 4) and S(2, -1),
we need to determine the coordinates of point T.
The midpoint formula states that the midpoint between points (a, b) and (c, d) is ((a + c)/2, (b + d)/2).
Let T be (h, k). According to the problem:
Solving these equations yields T at (13, -6).
So, the required coordinates for point T are (13, -6).
Response:
D. The sidelines are parallel because they are perpendicular to a common line.
Justification:
According to the perpendicular transversal theorem, when a line is perpendicular to one of two parallel lines, it is also perpendicular to the other line. Furthermore, the converse of the theorem states that if two lines are perpendicular to the same line, they must be parallel. Therefore, the sidelines are indeed parallel and also perpendicular to this single line.
Begin by determining the overhead costs. The selling price was $240. To calculate 20% of 240, multiply 240 by 0.20, yielding 48. Consequently, the overhead expenses total $48. To figure out the profit, subtract total expenses from the selling price. Mr. Lippman's selling price was $240, he paid $160 for the dryer, and incurred $48 in overhead expenses. Thus, 240 - 160 - 48 equals 32. Therefore, the profit is $32. To determine the profit rate, divide the profit by the total expenses. 32 / (240 + 160) results in 0.08. Hence, the profit rate is 8%.
The ratio of women to men is 34 to 382. To find the total sales, we compute 382 multiplied by 2.50, resulting in $955. For women, the calculation is 34 multiplied by 1.25, which equals $42.50. Therefore, summing these amounts gives us $955 + $42.50 = $997.50.
