Suppose that a and b are integers, a ≡ 11 (mod 19), and b ≡ 3 (mod 19). find the integer c with 0 ≤ c ≤ 18 such that
a. c ≡ 13a (mod 19).
b. c ≡ 8b (mod 19).
c. c ≡ a − b (mod 19).
d. c ≡ 7a + 3b (mod 19).
e. c ≡ 2a2 + 3b2 (mod 19). f ) c ≡ a3 + 4b3 (mod 19).

equal to

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.