Answer:
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Step-by-step explanation:
A={1,2,3,4,5,6}
R={(x,y):y is divisible by x}
We know that any number (x) is divisible by itself.
(x,x)∈R
∴R is reflexive.
Now,(2,4)∈R [as 4 is divisible by 2]
But,(4,2)∈
/
R. [as 2 is not divisible by 4]
∴R is not symmetric.
Let (x,y),(y,z)∈R. Then, y is divisible by x and z is divisible by y.
∴z is divisible by x.
⇒(x,z)∈R
∴R is transitive.
Hence, R is reflexive and transitive but not symmetric.
Answer:
B
Step-by-step explanation:
The two right triangles are congruent but may have different lengths but they will have the same angles.
The two similar right triangles can have a different hypotenuse length, but the slope will remain the same.
The estimated lengths are 12in. and 5 in. This would be an estimated difference of 7in.
The estimated difference is going to be higher than the actual difference because in rounding 11.7 to 12, you are losing .30in, but in rounding down 5.25 to 5, you are actually gaining .75in.
The ACTUAL difference is 6.45in
Just do 4x5 then add the zeros