Answer:
∠J = 107°
∠K =107°
∠L = 73°
∠M = 73°
Step-by-step explanation:
Angle J + angle M = 180°
(10x - 33) + (4x+17) = 180
simplify:
14x -16 = 180
14x = 196
x = 14
∠J = 10(14) - 33 = 107°
∠M = 4(14) + 17 = 73°
4600(.83)^x
4600(.83)^ 7 (7 is years from 16 to 23)
=approx 1248
The standard deviation is 1.43 below the mean
<h3>How to determine the number of standard deviation?</h3>
The given parameters are:
Mean = 98.249
Standard deviation = 0.733
x = 97.2
To calculate the number of standard deviation below the mean, we use
So, we have:
Evaluate the like terms
Divide both sides by -0.733
n =1.43
Hence, the standard deviation is 1.43 below the mean
Read more about standard deviation at:
brainly.com/question/15858152
#SPJ1
The answer is 0.45 recurring. Hope this helped or helps you. :)
Answer:
c. m∠1 + m∠6 = m∠4 + m∠6
Step-by-step explanation:
Given: The lines l and m are parallel lines.
The parallel lines cut two transverse lines. Here we can use the properties of transverse and find the incorrect statements.
a. m∠1 + m∠2 = m∠3 + m∠4
Here m∠1 and m∠2 are supplementary angles add upto 180 degrees.
m∠3 and m∠4 are supplementary angles add upto 180 degrees.
Therefore, the statement is true.
b. m∠1 + m∠5 = m∠3 + m∠4
m∠1 + m∠5 = 180 same side of the adjacent angles.
m∠3 + m∠4 = 180, supplementary angles add upto 180 degrees.
Therefore, the statement is true.
Now let's check c.
m∠1 + m∠6 = m∠4 + m∠6
We can cancel out m∠6, we get
m∠1 = m∠4 which is not true
Now let's check d.
m∠3 + m∠4 = m∠7 + m∠4
We can cancel out m∠4, we get
m∠3 = m∠7, alternative interior angles are equal.
It is true.
Therefore, answer is c. m∠1 + m∠6 = m∠4 + m∠6
