Answer:
A
Step-by-step explanation:
Equation
2x + 3x + 8 + 7x - 2 = 90
Solution
Combine like terms on the left
12x + 6 = 90 Subtract 6 on both sides
12x = 90 - 6
12x = 84 Divide by 12
x = 84/12
x = 7
The midpoint lines are half the opposite side length.
Line DE is given as 7 , So Line F = 7 x 2 = 14
Line EF is given as 12, so Line D = 12 x 2 = 24
Line DF is given as 16, so line E = 16 x 2 = 32
The perimeter is the sum of the 3 sides:
Perimeter = 14 + 24 + 32 = 70
Answer: The area of circle V is 196π ft² (196Pi feet squared)
Step-by-step explanation:
From the equation for area of a circle,
A = πr²
Where A is the area of the circle
r is the radius of the circle
In Circle V, the radius, r of the circle is 14 feet
That is,
r = 14ft
Hence, Area is
A = π × (14ft)²
A = π × 14ft × 14ft
A = 196π ft²
Hence, the area of circle V is 196π ft² (196Pi feet squared)
Given the answers of 100 students surveyed, you have to find the following probability:
<em>P(taken a public speaking class | majoring in business administration)</em>
This is the probability that the student has taken a public speaking class, given that he is majoring in business administration, which is a conditional probability.
We already know that the student is majoring in business administration, so instead of working with the information about the 100 students, you can directly work with the group os students that are doing that major:
You can determine this probability as the quotient between the students that took a public speaking class and are majoring in business and the total number of students that are majoring in business:
So, the probability is 10/55
Answer:
if you are being asked what the values of the x and y variables are, x=5/2 and y=4
Step-by-step explanation:
In order to solve this problem you will want to isolate one of the two variables in both equations.
I isolated the y variable in both equations so you have:
4x+y=14, when you isolate the y variable, you will get: y=-4x+14
6x-3y=3, same procedure isolate y: 6x-3=3y, now simplify so you only have y: 2x-1=y.
Now that you have the two equations which a common variable, solve them by making the two equations equal to each other like so:
-4x+14=2x-1, now you want to have all the x variable terms on one side and all the constants on the other, you will add "4x" to each side of the equal sign and then add "1" to each side to leave you with: 15=6x
now divide both sides by 6 to obtain your x value: x=15/6 simplifies to 5/2
then plug your x-value into one of the two equations we made earlier:
y=2x-1
y=2(5/2)-1
y=5-1
y=4
now you have calculated the values of your x and y values