Answer: 0
First: Move constant to the left by adding its opposite to both sides
-3x+2y-7=7-7
Then: Change the signs on both sides of the equation
3x-2y+7
Equaling: 3x-2y+7=0
Answer: B. A quadrilateral that has diagonals that do not bisect each other.
Step-by-step explanation:
- A parallelogram is a quadrilateral whose opposite sides are equal or congruent and parallel. Also, the opposite sides in parallelogram are equal or congruent and the sum of two adjacent angles is 180 degrees.The diagonals of parallelogram bisect each other.
Therefore by the properties of parallelogram the choice that does NOT describe a parallelogram is " <em>A quadrilateral that has diagonals that do not bisect each other</em>.".
(a) From the histogram, you can see that there are 2 students with scores between 50 and 60; 3 between 60 and 70; 7 between 70 and 80; 9 between 80 and 90; and 1 between 90 and 100. So there are a total of 2 + 3 + 7 + 9 + 1 = 22 students.
(b) This is entirely up to whoever constructed the histogram to begin with... It's ambiguous as to which of the groups contains students with a score of exactly 60 - are they placed in the 50-60 group, or in the 60-70 group?
On the other hand, if a student gets a score of 100, then they would certainly be put in the 90-100 group. So for the sake of consistency, you should probably assume that the groups are assigned as follows:
50 ≤ score ≤ 60 ==> 50-60
60 < score ≤ 70 ==> 60-70
70 < score ≤ 80 ==> 70-80
80 < score ≤ 90 ==> 80-90
90 < score ≤ 100 ==> 90-100
Then a student who scored a 60 should be added to the 50-60 category.
First find the area of the whole pizza.
The formula for area of a circle is Area = PI x r^2
The diameter is given as 131 feet, so r would be 131/2 = 65.5 feet.
I will use 3.14 for PI since the problem doesn't say what value to use.
Area = PI x 65.5^2
Area = 3.14 x 4290.25
Area = 13,471.39 square feet
Divide the total area by the number of pieces:
13,471.39 / 50 = 269.43 square feet
To find the length of the crust first find the circumference of the whole pizza:
Circumference = PI x diameter
Circumference = 3.14 x 131 = 411.34 feet
Now divide the total by the number of pieces:
411.34 / 50 = 8.23 feet
Each slice has an area of about 269.43 square feet and a crust length of 8.23 feet.
