The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal, it is obtained by Pythagoras theorem.
Step-by-step explanation:
The given are,
From ΔABC,
AB= 6
BC= 10
AC = x
From ΔDEC,
CD= 28
DE= 21
CE = y
Step:1
Pythagoras theorem from ΔABC,
...............(1)
Substitute the values,
=
+ 
100 = 36 + 
= 100 - 36
= 64
AC = 
AC = 8
AC = x = 8
Step:2
Pythagoras theorem for ΔDEC,
................(2)
From the values,
=
+ 
= 784 + 441
= 1225
CE = 
CE = 35
CE = y = 35
Result:
The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal.
The percent of students that are aged 19 years or more is determined as 84%.
<h3>One standard deviation below the mean</h3>
In a normal distribution curve 1 standard deviation below the mean is defined as follows;
- 1 std below mean : M - d = 16%
M - d = 20.6 yrs - 1.3 yrs = 19.3 years ≈ 19 years
19 years or more will occur at (M - d) + (M) + (M + 2d) = 100% - (M - d)
= 100% - 16%
= 84%
Thus, the percent of students that are aged 19 years or more is determined as 84%.
Learn more about normal distribution here: brainly.com/question/4079902
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For this case, what we should do is use the given equation.
We have then:
trade discount = rate × list price
Where,
list price = 1000 $
rate = 20 * (1/100) = 0.2
Substituting values we have:
trade discount = (0.2) * (1000)
trade discount = $ 200
Answer:
The amount of the discount is $ 200