I believe the SSS theorem as they both share/have side measurements (and no defined angles)
Y - x = 6
y + 2x = 57
2y - 2x =12
y + 2x = 57
∴3y = 69
y = 23
23 - x = 6
-x = -17
x =17
large van = 23
small van = 17
The expressions D, E, and F represent a correct solution to the equation.
Step-by-step explanation:
Step 1:
First, we need to solve the given equation and find the value of x which satisfies the equation.


So the value of x for the given equation is -0.666.
Step 2:
Now we evaluate the values of the six given options to see which ones have an x value of -0.666.
A. 
B. 
C. 20 -6 -4 = 20 - 10 = 10.
D. 
E. 
F. 
So the options D, E, and F represent a correct solution to the given equation.
4^4 is simply 4x4x4x4 and 4^7 is 4x4x4x4x4x4x4
ANSWER
The possible rational roots are:

EXPLANATION
According to the rational root theorem, the possible rational roots of the polynomial,
are all the possible factors of the constant term divided by all the possible factors of the coefficient of the highest degree of the polynomial.
Therefore we examine the numerator and denominator of the options provided to see if they are factors of 10 and 4 respectively.
For
, we can see that 1 is a factor of 10 and 2 is a factor of 4, hence it is a possible rational root.
The same thing applies to
also.
As for
, 2 is a factor of 10 but 5 is not a factor of 2, hence it is not a possible rational root.