Answer:
a) SAS
b) Volume of DEF is 4 times the Volume of ABC
Step-by-step explanation:
a) since they have one same/congruent angle (angle B and angle E) and other two sides are in the same ratio, they are similar by SAS similarity theorem.
40/20 = 30/15 = 2
Therefore Δ ABC is similar to Δ DEF
b) Volume of a prism
= base area × height
Let height be 'h cm'
With Base ABC:
Volume = ½×20×15×h = 150h cm³
With Base DEF:
Volume = ½×40×30×h = 600h cm³
600h/150h = 4
Prism with base DEF has a greater volume; it's 4 times of the volume of the prism with base ABC
Answer:
(-3,4)
Step-by-step explanation:
A system of equations is given to us. The given equations are ,
We need to plot the graph and find the solution of the given system . For that refer to attachment . The point at which both the lines of the graph will intersect each other will be the solution of the given system of equations .
From the graph we can see that it intersect at (-3,4) . Therefore the Solution is ,
Answer:
a−4b
Step-by-step explanation:
Combine Like Terms:
=4a+−6b+−3a+2b
=(4a+−3a)+(−6b+2b)
=a+−4b
have a great day
Answer:
What shapes?!?! I can help you if you add an image of the shapes :)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
