Igive
herb knows that the volume of a cone is one third that of a cylinder with the same base and height. he reasons that a cone with the same height as a given cylinder but 3 times the radius should therefore have the same volume as the cylinder, since 1.3*3=1. is herb correct? explain

The reasoning behind herb's answer is correct. Since the volume of a cone is 1/3 that of a cylinder, a cone that is the same height of said cylinder, but has a radius three times that of the cylinder should be the same volume of the cylinder. Howver 1.3 times 3 does not equal 1

52

Step-by-step explanation:

4x+8 = 5x-3 by the Vertical Angles Theorem that states the vertical angles are congruent.  

Subtract 4x from both sides and get:

8=1x -3

Add 3 to both sides:

11= 1x

if x =11, plug that in to angle A.  

4x+ 8 becomes 4(11)+8 =

44+ 8=