Answer:
The largest angle measure in triangle DEF = 82°
Explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
So, the shape of the triangles ABC and DEF are the same.
Sine the shape is similar the angle of the dilated triangle and considered triangle are the same.
The largest angle measure in triangle DEF = The largest angle measure in triangle ABC
The largest angle measure in triangle DEF = 82°
Answer:
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:
x=4 and y=(-6)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
C
Step-by-step explanation:
Area of a parallelogram = base times height.
The base is 14 and the height is 3, you just have to rotate the figure.
A = 14 * 3 = 42 square feet
