9514 1404 393
Answer:
D. a ║ b
Step-by-step explanation:
If we figure the other angle of each linear pair, we can directly compare angles to see if corresponding angles are the same. Where they are the same, the lines are parallel.
Line a is parallel to line b.
The correct answer is the 4th one - S,T,U,V.
Hope this helps! :)
Square it -56 + 15k = k^2
re arrange get k^2 - 15k + 56 = 0
factor (k - 7)(k - 8) = 0
solve k - 7 = 0, k - 8 = 0
k = 7 or 8
The answer is B.103 degrees
9514 1404 393
Answer:
d) x = 3
Step-by-step explanation:
The given equation resolves to a quartic equation in (3^x). It has a solution near ...
x = 0.541770946714
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Perhaps you want the solution to ...
3^(x+9) = 81^(x)
Rewriting in powers of 3, this is ...
3^(x+9) = (3^4)^x = 3^(4x)
Taking logarithms base 3 gives ...
x +9 = 4x
9 = 3x . . . . . . subtract x
3 = x . . . . . . . divide by 3 . . . . matches choice D
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<em>Additional comment</em>
The Order of Operations requires that exponential terms be evaluated before addition and subtraction. That means (3^x) must be evaluated before the sum (3^x) + 9. If you want the sum of x and 9 to be evaluated first, it must be in parentheses: 3^(x+9).
In typeset equations, the superscript font serves to group parts of the exponent. In plain text, a grouping symbol (parentheses) must be used.