Find the number of distinct triangles with measurements of a=31°, a = 10, and b = 40 a. 0 b. 1 c. 2 d. cannot be determined select the best answer from the choices provided a b c d

A. 0 <

Step-by-step explanation:

Law of Sines

sinA / a = sinB / b

sin31 / 10 = sinB/ 40

sinB = 40sin31 / 10

sinB = 2.060152299640217

Since 1 is the maximum for sin

the triangle does not exist

A. 0 <

C) 10.63 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

We have the two points (2, -3) and (-6, 4). Let (2, -3) be (x₁, y₁) and let (-6, 4) be (x₂, y₂). Substitute:

Simplify:

Evaluate:

Our answer is C.