Answer:
A. Similar using SAS; ∆ABC ~ ∆DFE
Step-by-step explanation:
m<B of ∆ABC = m<F of ∆DFE
AB corresponds to DF
AB/DF = 12/8 = 3/2
BC corresponds to FE
BC/FE = 24/16 = 3/2
Thus, the ratio of the corresponding sides of both triangles are the same. Therefore, both triangles has two sides that are proportional to each other, and also had an included corresponding angles that are congruent to each other.
By the SAS criterion, we can conclude that both triangles are similar to each other. That is, ∆ABC ~ ∆DFE
Answer:
Slope is 2
Step-by-step explanation:
(-2, -4) and (2, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4+4)/(2+2)
m=8/4
m = 2
Answer:
256
Step-by-step explanation:
4^4^4 = 4^(4^4) = 4^256
so written in base 4, there will be 256 zeroes after a 1.
This translates to approximately 154 digits in decimal.
Just like 2^2^2 = 2^4
there will be four zeroes after a 1.
2^2^2=2^(2^2) = 2^4 = 16 = 10000 (16 in base 2).
Answer:
31
Step-by-step explanation:
x, x+1, x+2
x + x + 1 +x + 2 = 90
3x + 3 = 90
-3 -3
3x = 87
/3 /3
x = 29
29 + 2 = 31
Answer:
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