Answer:
Hope it may help u
Step-by-step explanation:
The sum of two numbers is 44 and their difference is 14. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 44. In other words, x plus y equals 44 and can be written as equation A:
x + y = 44
The difference between x and y is 14. In other words, x minus y equals 14 and can be written as equation B:
x - y = 14
Now solve equation B for x to get the revised equation B:
x - y = 14
x = 14 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 44
14 + y + y = 44
14 + 2y = 44
2y = 30
y = 15
Now we know y is 15. Which means that we can substitute y for 15 in equation A and solve for x:
x + y = 44
x + 15 = 44
X = 29
Summary: The sum of two numbers is 44 and their difference is 14. What are the two numbers? Answer: 29 and 15 as proven here:
Sum: 29 + 15 = 44
Difference: 29 - 15 = 14
Given:
∠JEK + ∠DFH = 90°
Find:
relationship, if any, of ∠JEK to angles CFL, HFG, LFE
Solution:
We note that ∠DFG = 90° = ∠DFH + ∠HFG, so ∠JEK ≅∠HFG.
We also note that ∠HFG and ∠CFL are vertical angles, so ∠JEK ≅∠CFL.
And ∠LFE and ∠DFH are vertical angles, so ∠JEK + ∠LFE = 90°.
Evaluating the choices, we find
A) false. The angles are not complementary, they are equal.
B) false. The angles are not equal, they are complementary.
C) false. The angles are not supplementary, they are equal.
D) TRUE. The angles are equal.
The appropriate choice is ...
D) ∠JEK ≅∠CFL
Answer:
Mean = 0, Standard deviation = 1
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 77.5 beats per minute
Standard Deviation, σ = 11.6 beats per minute
We are given that the distribution of pulse rates of women is a bell shaped distribution that is a normal distribution.
Formula:
Putting the values, we get,
After, the standardization, that is conversion of all pulse rates of women to z scores, the mean of the distribution is 0 and standard deviation is 1.
Mean = 0, Standard deviation = 1
To get the coordinates, we would use the midpoint formula (google it)
(X1-X2/2 , Y1+Y2/2)
(-3+0/2 , -1+1/2)
N: (-3/2,0)
