Answer:
y = 10
x = 64
Step-by-step explanation:
the equations containing y are adjacent angles in a parallelogram, meaning that they are supplementary, so we can create an equation:
5y + 2 + 12y + 8 = 180
solve this to get y = 10
the equation for x would be 2x + 5y + 8 = 180 because these angles are also supplementary
solve this to get x = 64
90 cm because ................................
Step-by-step explanation:
the change in cost of 145-135.50 = 9.50 for an increase of students from 25 to 30. The ratio of change of cost to change of students = 9.50/5 = 1.9 and becomes the slope coefficient "m" in the formula y= mx + b. y = the total cost, mx becomes the variable cost and b becomes the fixed cost. To find b, use the data point given where the total cost = $135.50 when the students = 25, or 135.50 = 1.9*25 +b. Solving for b yields $ 88. Note that the other data point is where the total cost is $145 for students = 30. Using the new total cost equation shows that 30*1.9+88= 145
Answer:
4683
Step-by-step explanation:
Answer: True.
The ancient Greeks could bisect an angle using only a compass and straightedge.
Step-by-step explanation:
The ancient Greek mathematician <em>Euclid</em> who is known as inventor of geometry.
The Greeks could not do arithmetic. They had only whole numbers. They do not have zero and negative numbers.
Thus, Euclid and the another Greeks had the problem of finding the position of an angle bisector.
This lead to the constructions using compass and straightedge. Therefore, the straightedge has no markings. It is definitely not a graduated-rule.
As a substitute for using arithmetic, Euclid and the Greeks learnt to solve the problems graphically by drawing shapes .
