The answer Is C: SAS Congruence Postulate.
Answer:
Mean = $229.32
Median = $231.15
Mode = $268.4
Step-by-step explanation:
Mean = the average.
The average is the sum of variables divided by the number of variables.
x = each variable
N = number of variables = 11
Average = (Σx)/N = (236.09 + 204.43 + 253.82 + 268.4 + 231.15 + 205.7 + 262.18 + 162.77 + 268.4 + 224.45 + 205.17)/11
Mean = 2522.56/11 = $229.32
b) Median is the value that falls at the middle of the data set if all the variables are arranged in ascending or descending order.
So, to find the Median, we first arrange the variables in ascending order.
162.77
204.43
205.17
205.70
224.45
231.15
236.09
253.82
262.18
268.4
268.4
Since there are 11 variables, the Median is the number that falls at the middle of the distribution, that is, at the sixth position.
Median = $231.15
c) Mode is the number that appears the most in a distribution.
In this distribution, only 268.4 appears more than once.
Hence, the more is $268.4
Answer:
CD = 14 cm; DE = 21 cm
Step-by-step explanation:
The perimeter is the sum of side lengths (in centimeters), so ...
CD + DE + CF + EF = 55
CD + DE + 8 + 12 = 55 . . . . . . . substittute for CF and EF
CD + DE = 35 . . . . . . . . . . . . . . subtract 20
___
The segment DF is a diagonal of the rhombus, so bisects angle D. That angle bisector divides ΔCDE into segments that are proportional. That is, ...
CD/DE = CF/EF = 8/12 = 2/3
___
So, we have two segments whose sum is 35 (cm) and whose ratio is 2 : 3. The total of "ratio units is 2+3=5, so each must stand for a length unit of 35/5 = 7 (cm). The sides are ...
CD = 2·7 cm = 14 cm
DE = 3·7 cm = 21 cm
<em>Check</em>
CD + DE = (14 +21) cm = 35 cm . . . . . matches requirements
Area = π r²
area of the required sector = (80/360) π * 15²
≈ 157.08
