Answer:
Step-by-step explanation:
In a rectangle, diagonals are equal and bisect each other
BE = AE
6x - 5 = 2x + 7
6x - 2x - 5 = 7
4x - 5 = 7
4x = 7 + 5
4x = 12
x = 12/4
x = 3
AE = 2x + 7
= 2*3 + 7
= 6 + 7
AE = 13
AC = 13 + 13
AC = 26
m∠EBC = 50
In rectangle, each angle is 90
m∠ABE + m∠EBC = 90
m∠ABE + 50 = 90
m∠ABE = 90 - 50
m∠ABE = 40
In rectangle, AB // DC and DB transversal
m∠ECD = m∠ABE { alternate interior angles}
m∠ECD = 40
Answer:
Interval [16.34 , 21.43]
Step-by-step explanation:
First step. <u>Calculate the mean</u>

Second step. <u>Calculate the standard deviation</u>



As the number of data is less than 30, we must use the t-table to find the interval of confidence.
We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).
We must then choose t = 1.476 (see attachment)
Now, we use the formula that gives us the end points of the required interval

where n is the number of observations.
The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43
Answer:
approx 15.5 hours
Step-by-step explanation:
475/30 = 15.83 miles per hour
245 = 15.83·t
t = 245/15.83
t = 15.5 hours
Multiply the top and bottom.
3/8 * 16/7 = 48/56
Simplified: 5/7
The answers to the first two systems of equations