78 minutes cause they are not working when one finishes, if they were doing that the it would take 1 hour and 44 minutes, hope this helps :)
The Alternate Interior Angle theorem states that when the lines are parallel, the alternate interior angles are equal. Since lines AB and CD are parallel, m∠ACD and m∠BAC are equal. So, the equation would be
![4x-1=x+38](https://tex.z-dn.net/?f=4x-1%3Dx%2B38)
or
![x=13](https://tex.z-dn.net/?f=x%3D13)
.
Answer: C
Step-by-step explanation: The y-intercept is 1/5 since the point on the y-axis is (0, 1/5). The slope is 2/3 because the other coordinate is up 2 and right 3 from (0, 1/5) *remember rise over run*. The shading means that the answer (y) must be less than or equal to 2/3x + 1/5, hence it being underneath the line.
Answer: the area of the shaded region is 5x² + 28x + 23
Step-by-step explanation:
The formula for determining the area of the rectangle is expressed as
Area = length × width
The area of the smaller rectangle is
(x - 3)(x - 1)
We would apply the distributive property by multiplying each term in one bracket by each term in the other bracket. It becomes
x² - x - 3x + 1
x² - 4x + 1
The area of the bigger rectangle is
(3x + 6)(2x + 4)
6x² + 12x + 12x + 24
6x² + 24x + 24
The area of the shaded region would be
6x² + 24x + 24 - (x² - 4x + 1)
6x² + 24x + 24 - x² + 4x - 1
6x² - x² + 24x + 4x + 24 - 1
5x² + 28x + 23
Answer:
I think the interquartile range is 2.5
Step-by-step explanation:
Interquartile range = Q3-Q1.