State what additional information is required in order to know what the triangles are congruent by ASA

The answer to your question is  third choice ∠E ≅ ∠ R

Step-by-step explanation:

From the picture, we know that EF ≅ FR

And that                                       ∠EFG ≅ ∠RFT  (vertical angles)

So, we need to prove that another angle is congruent to prove ASA.

From the choices, the only possibility is the third answer   ∠E ≅ ∠ R.

Now, we have proof that ΔEFG ≅ ΔRFT

x = 12

y = 15

step-by-step explanation:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.