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
Hello There!
The "Inter-Quartile Range" is 9
20-23 red marbles makes the most sense
The right answer is Option C.
Step-by-step explanation:
Given,
Pizzas made by Paul on first day = 12
Pizzas made each day after that = 6
Let,
p represent the number of pizzas made after first day.
Total pizzas = 6p + 12
Number of days = 8 because first day 12 pizzas are made
Total pizzas = 
Pizzas made by Cindy on first day = 16
Pizzas made each day after that = 4
Total pizzas = 4p + 16
Total pizzas = 
Paul has made more pizzas after 9 days. He has made 60 pizzas.
The right answer is Option C.
Keywords: comparison, addition
Learn more about addition at:
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