10 POINTS!.A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one prism and △DEF for the bases of the other prism. Is △ABC similar to △DEF? Explain.

Suppose the sculptor makes both prisms with the same height. Find the volume of each prism. Which prism will have a greater volume? Show your work.

if they are similar then their sides are proportional and the following would be true:  

40/30 = 48/36  

reduce both sides:  

4/3 = 4/3  

so, yes, they are similar.

Step-by-step explanation:

x=4,y=2

Step-by-step explanation:

3x-2y=8 1

2x+y=102

multiply equation 2 by 2 and adding equation 1 and 2 ,we get

3x-2y=8

4x+2y=20

+

7x=28

x=28/7=4

:.x=4

again substituting value of x in equation 1 we get

3×4-2y=8

12-8=2y

y=4/2=2

:.y=2