Suppose that a and b are integers, a ≡ 11 ( mod 19), and b ≡ 3 ( mod 19 ) .find integer c with0 ≤ c ≤ 18 such that

a. c ≡ 13 a ( mod19).

b. c ≡ 8 b( mod19).

c. c ≡ a − b( mod19).

d. c ≡ 7 a + 3 b( mod19).

e. c ≡ 2 a 2 + 3 b 2 ( mod19). f) c ≡ a 3 + 4 b 3 ( mod19).

a. Since , we have

so

b. , so , so .

c. , so .

d.

e.

f.

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.

answer: the four apples you took away.

step-by-step explanation: