X = number of correct answers
Y = number of incorrect answers
School A has 174 points and school B has 102 points.
A = 174
B = 102
School A has the same number of correct and incorrect answers during the final round.
A = 174 + 10X - 6Y
School B gives no incorrect answers and the same number of correct answers as school A.
B = 102 + 10X
The contest ends with the two schools tied.
Score = 174 + 10X - 6Y = 102 + 10X
174 + 10X - 6Y = 102 + 10X
Answer: A RECTANGLE ( It has four sides, its opposite sides are congruent and all its angles measure 90 degrees)
Step-by-step explanation:
For this exercise it is important to remember the definition of a "Cross section".
In Geometry a "Cross section" is defined as that shape obtained when a three-dimensional figure is sliced by a plane.
In this case, according to the information given in the exercise, the cheese block has the shape of a cylinder. This is the three-dimensional figure.
Observe in the picture attached in the exercise that the cylinder-shaped cheese block is cut through perpendicular to its base.
By definition, when this perpendicular cut happens, the shape obtained is a Quadrilateral which has four equal angles that measure 90 degrees and whosepposite sides are parallel have equal length.
Therefore, you can conclude that the two-dimensional cross section that would be created by slicing the cylinder-shaped cheese block perpendicular to its base,is: A RECTANGLE.
Answer:
39 in.
Step-by-step explanation:
As it's a regular hexagon all sides are congruent.
Therefore
7x + 4 = 8x - 1
4 + 1 = 8x - 7x
x = 5.
So the required length is 7(5) + 4 = 39 in.
Answer: C. Use a larger sample size and D. Larger confidence level
Step-by-step explanation: The information will be more accurate, as it is not right now and if there are more people then there will be a huge group of people that agree on one thing.
Answer: x=20
Step-by-step explanation: