Answer:
and 
(None of the answer choices fits. See explanation below)
Step-by-step explanation:
In mathematics, the modulus of a number, denoted by enclosing the number within vertical bars is the absolute value of the number. If the number is negative the sign is disregarded and the number is treated as positive
For example,
and
is also 
Solve for
in the equation

Subtracting 4 on both sides yields 
Simplifying 
Multiplying by 2 on both sides yields 
We do not know if |x-3| is negative or positive since 
So we have 2 possibilities
If
is negative, then
==> 
If
is positive, then
==> 
So the possible values are
and 
None of the answer choices fits these values indicating either an error in the answer choices or the original equation
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
The product of secant lengths to the near and far circle intercepts is the same for both secants:
3 · (3+5) = 4 · (4+x)
24 = 4(4 +x) . . . . simplify
6 = 4 +x . . . . . . . .divide by 4
2 = x . . . . . . . . . subtract 4
The 6 in 836 is in the ones place and the 6 in 863 is in the yens place
Step-by-step explanation:
The angle 2 and 3 are in vertically opposite sides. So, they are vertically opposite angles.
Hence, second option is correct.