Answer:
AB=11, DC=11, AD=25, BC=25
Step-by-step explanation:
Opposite sides of parallelograms are congruent.
x+x+2x+3+2x+3=72
6x+6=72
6x=66
x=11
2(11)+3 = 25
The graph that represents the system of inequalities is graph 3
Answer:
12 1/2
Step-by-step explanation:
Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
Answer:
48.2
Step-by-step explanation:
√(x2-x1)²+(y2-y1)²
√(15.3-59.5)² +(14.9-34.2)²
√(-44.2)² + (-19.3)²
√1953.64+372.49
√2326.13
48.2
