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
Note that a:b = c:d is the same as a/b = c/d
y:1.5=0.2:0.75 same as y/1.5 = 0.2/0.75
y = 0.4
x: 1 2/3=y:3 1/3 same as x/1 2/3 = y / 3 1/3
x = y/2 = 0.2
Answer:
The answer is 40 minutes, hope this helps
You need to isolate y. When you do, will get y=(4/3)x-2. When the equation is in this form, you can see that the slope is 4/3
