Find all solutions for a triangle with a=140, b=10, and a=3 a. b = 15.4°; c = 147.6°; c = 20.2 c. b = 15.4°; c = 134.5°; c = 20.2 b. b = 16.2°; c = 147.6°; c =20.2 d. no solutions

Option D. No solutions.

Step-by-step explanation:

We know in a triangle, sum of all angles is equal to 180°

Therefore, ∠A + ∠B + ∠C = 180°

Angle A is given as 140°

Now we go through the measure of angles given in each option.

A). ∠A + ∠B + ∠C = 180°

140 + 15.4 + 147.6 = 303°

Which is not possible in a triangle. Incorrect option.

B). 140 + 16.2 + 147.6 = 303.8

But for a triangle sum of angles should be 180° so this triangle is not possible. Incorrect option.

C). 140 + 15.4 + 134.5 = 279.9°

Again not possible. Incorrect option.

D). No solutions is the correct option.

5104.38 inches

step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.