Answer:
a) since they have a common angle and
Other two sides are in the same ratio, they are similar by SAS similarity theorem.
40/20 = 30/15 = 2
Therefore ABC is similar to DEF
b) Volume of a prism
= base area × height
Let height be 'h'
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
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Use the multiplier 1.055
final = original x multiplier^n
where 'n' is the number of years
Sub the values in
final = 700 x 1.055^7
final = 1018.27
Subtract the values:
1018.27 - 700 = 318.27
Thus, he earns more than $275
He earns $43.27 more
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P=2(l+b)
=2(200•15)
=2.3000
=6000
Again,
A=lb
=200.15
=3000
Answer:
x+z=m
Step-by-step explanation: