I'm assuming there are supposed to be choices, but if a figure goes through only a reflection, then the angle measures will not change.
First, recall that Gaussian quadrature is based around integrating a function over the interval [-1,1], so transform the function argument accordingly to change the integral over [1,5] to an equivalent one over [-1,1].



So,

Let

. With

, we're looking for coefficients

and nodes

, with

, such that

You can either try solving for each with the help of a calculator, or look up the values of the weights and nodes (they're extensively tabulated, and I'll include a link to one such reference).
Using the quadrature, we then have

Answer:
0.25x + y = 12
Step-by-step explanation:
I am hoping that these steps will be self-explanatory, as I am not quite sure how to explain writing an equation:
0.25x + y = 12
Hope this helps :)
yes, it is since none of the x's are repeated as with the y's
Answer:
A. a rectangle and a triangle