What is the value of x? ​

46 degrees

Step-by-step explanation:

Find Larger Triangle Missing Angle:

180-(85+53) = 180-138

                    = 42 degrees

Use Vertical Anlges to find smaller traingle missing angle is also 42 degrees.

Find X:

180-(92+42) = 46 degrees

46°

Step-by-step explanation:

Measure of vertical angle = 180° - ( 85° + 53°)

= 180° - 138°

= 42°

x + 42° + 92° = 180°

x + 134° = 180°

x = 180° - 134°

x = 46°

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.

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere