Letter B. X is a vertical angle, and so is F. Vertical angles are all congruent.
Answer:
a. ∠D'A'B'
Step-by-step explanation:
From the graph it is clear that the transformation doesn't affect the size and shape of the figure ABCD.
Only the coordinates of the points are changed with the length of each side remaining the same.
Hence the corresponding angle values will also remain unaltered.
∴ ∠DAB = ∠D'A'B'
Make a change of coordinates:


The Jacobian for this transformation is

and has a determinant of

Note that we need to use the Jacobian in the other direction; that is, we've computed

but we need the Jacobian determinant for the reverse transformation (from

to

. To do this, notice that

we need to take the reciprocal of the Jacobian above.
The integral then changes to

Polynomial are expressions. The equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.
<h3>What are polynomial?</h3>
Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
In order to find the equivalent four-term polynomial of the given quadratic equation, we will break constant b(16) into two parts such that the sum of the parts is 16, while their product is equal to the product of the constant a(1) and c(48).
Therefore, the solution of the polynomial is,

Hence, the equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.
Learn more about Polynomial:
brainly.com/question/17822016
Answer:
The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is 
Step-by-step explanation:
The standard form of equation is 
Finding slope
Using the given points (0,-4) and (-3,-2) we can find slope using formula:

Finding y-intercept
Using point (0,4) and Slope=-2/3 we can find y-intercept

The slope intercept form of the line through the given points. through (0.-4) and (-3,-2) having slope =-2/3 and b=-4 will be:

Now, standard form of equation will be: 
So, The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is 