A = 54 because alternate interior angles
b = 72 because 54+54=108 and 180-108=72
c = 108 because b and c are supplemental angles
d = 72 because b and d are corresponding angles
e = 162 because 72+90=162 and definition of a straight line
f = 18 because definition of a straight line
g = 81 because definition of an isosceles triangle
h = 49.5 because vertical angles and definition of an isosceles triangle
i = 130.5 because definition of a straight line
j = 31.5 because 49.5-18=31.5
k = 99 because corresponding angles
bcegk = 540
Answer:
He is 82 percent done
Step-by-step explanation:
by multiplying 18 laps by 50 yards we have to total distance of 900 yards
so using the equation (738/900) * 100 we get 82
Answer:
4.116 × 108
Step-by-step explanation:
I simply used a Scientific Notation Converter
Answer:

Step-by-step explanation:
Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation

If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:

If the modulus function is positive then:

If the modulus function is negative then:

multiply through by -1

combining the resulting inequalities, the estimate of the possible range of heights will be 
Answer: 0.4302
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
Also, these distances are normally distributed.
Then , the formula to calculate the z-score is given by :-

For x=32.5

For x=40.5

The p-value = 

Hence, the required probability :-0.4302