Answer:
2nd option
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle
sin82° = = = ( multiply both sides by )
× sin82° = KL , then
KL ≈ 3.28 ( to the nearest hundredth )
cos82° = = = ( multiply both sides by )
× cos82° = ML , then
ML ≈ 0.46 ( to the nearest hundredth )
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The sum of the 3 angles in a triangle = 180° , so
∠ K = 180° - (90 + 82)° = 180° - 172° = 8°
Answer:
The system is inconsistent
Step-by-step explanation:
we know that
If a system has at least one solution, it is said to be consistent .
If a consistent system has exactly one solution, it is independent .
If a consistent system has an infinite number of solutions, it is dependent
If a system not have solution, it is said to be inconsistent.
In this problem we have
----> equation A
Isolate the variable y
Divide by 3 both sides
----> equation B
Compare both lines
The lines have the same slope and different y-intercept
so
The lines are parallel
The system has no solution
therefore
The system is inconsistent
Denominators of fractions cannot be zero, therefore the domain is all real numbers besides 2, for that is the only number that will falsify the fraction
Answer:
396°
Step-by-step explanation:
Difference = 357 -(-39) = 357+38 = 396°
Step-by-step explanation:
f(x) + n - move the graph n units up
f(x) - n - move the graph n units down
f(x + n) - move the graph n units to the left
f(x - n) - move the graph n units to the right
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We have f(x) = 2ˣ.
g(x) = f(x) + 1 - move the graph of f(x) one unit up.
<em>(look at the picture)</em>