Solve the triangle. round your answers to the nearest tenth.

  B.  m∠B = 118°, a = 17, c = 18

Step-by-step explanation:

The answer choices all agree on the values of ∠B and c, so we only need to compute the value of side a.

We can verify angle B is ...

  ∠B = 180° -30° -32° = 118°

By the law of sines, ...

  a/sin(A) = b/sin(B)

Multiplying by sin(A), we get ...

  a = b·sin(A)/sin(B) = 30·sin(30°)/sin(118°) ≈ 16.98855

  a ≈ 17.0 . . . units . . . . . matches choice B

__

If you like, you can also verify side c:

  c = b·sin(C)/sin(B) = 30·sin(32°)/sin(118°) ≈ 18.00512

  c ≈ 18.0 . . . units

22 and 22

step-by-step explanation:

10 plus 12 equals 22.

12 plus 10 also equals 22 because regardless of what order they're in, they're gonna equal the same thing.

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.