On a sunny day, Larry notices that his shadow is 24 inches long. If it is 74 inches from the top of his head to the end of the shadow, how tall is Larry?

70 inches

Step-by-step explanation:

Larry forms a right triangle with the ground (this is one leg of a right triangle) and he is 24 inches from his shadow (this is the second leg).

74 inches is the hypotenuse of the right triangle

use pythagorean theorem:  a^2 + b^2 = c^2

let h = Larry's height

h^2 + 24^2 = 74^2

h^2 + 576 = 5476

h^2 = 4900

h = sq rt 4900

h = 70

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

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.