Answer:
60
Step-by-step explanation:
<C+<D = 180 since they form a straight line
5x+20 +3x = 180
8x+20 = 180
Subtract 20 from each side
8x+20-20 = 180-20
8x = 160
Divide by 8
8x/8 = 160/8
x = 20
We want to find angle D
<D = 3x= 3*20 = 60
Let's begin by listing out the information given to us:
We start out by observing that Triangles MKR & ACD are similar or proportional

We will solve for the missing side by using the similar triangle theorem. This is shown below:~
p = 12x is the function rule to calculate the total number of pens when you know the number of boxes
<em><u>Solution:</u></em>
Given that,
Pen are shipped to the office supply store in boxes of 12 each
To find: Write a function rule to calculate the total number of pens when you know the number of boxes
Let "p" be the total number of pens
Let "x" be the number of boxes
Number of pens in each box = 12
Then from given information,
Total number of pens = Number of boxes multiplied by number of pens in each box

Thus the function rule is found
Jason = J Bill = B Sharon = S
J = 5+B
B= 2×S
J= 5+ (2×S)
Answer:
The standard deviation is 10.38
Step-by-step explanation:
Given;
Variance, v = 107.76
mean, x = 34.2
The standard deviation is given by;
standard deviation = √variance
standard deviation = √107.76
standard deviation = 10.381
standard deviation = 10.38 (two decimal places)
Therefore, the standard deviation is 10.38