Answer:
x = 24
y = 19
Step-by-step explanation:
From the picture attached,
m(∠CAB) = (5y - 23)° [Vertically opposite angles]
By applying triangle sum theorem in ΔABC,
(5y - 23)° + (2x + 13)° + 47° = 180°
2x + 5y = 143 -----(1)
(3x)° = (5y - 23)° [Corresponding angles]
3x - 5y = -23 -----(2)
By adding equation (1) and (2)
(2x + 5y) + (3x - 5y) = 143 - 23
5x = 120
x = 24
From equation (2)
3(24) - 5y = -23
72 - 5y = -23
5y = 95
y = 19
Answer:
In this case the Central Tendency measure that would be appropriate to report is Mode.
Step-by-step explanation:
Central Tendency measures are listed as follows:
i.) Mean
ii) Median
iii) Mode.
In the case that the data collected of a population is qualitative and not quantitative then the best Central Tendency measure to qualify the data is Mode of the data.
In the given example the data collected is of the students' racial classification which is not quantitative and purely qualitative. Therefore in case it is proper to take the Central Tendency measure to be reported as the Mode.
Valid because 3 x 3 is 9 :))
Let the two numbers be x and y.
The difference between the numbers is 4. Therefore
x - y = 4 (1)
The sum of one-half of each number is 18, therefore
x/2 + y/ 2 = 18
x + y = 36 (2)
Add equations (1) and (2).
(x - y) + (x + y) = 4 + 36
2x = 40
x = 20
From (2), obtain
y = 36 - x = 36 - 20 = 16.
Answer: The two numbers are 16 and 20.
