5 because you have to divide 60 by 12.
Answers:
- x = 11
- angle RQS = 106 degrees
- angle SQT = 74 degrees
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Explanation:
Straight angles are always 180 degrees in measure.
The two smaller angles shown add up to 180
(angle RQS) + (angle SQT) = angle RQT
(9x+7) + (6x+8) = 180
(9x+6x) + (7+8) = 180
15x+15 = 180
15x = 180-15
15x = 165
x = 165/15
x = 11
From here, we then know that,
- angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
- angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees
Note how the two results add to 106+74 = 180 to help confirm the answers.
Answer:
Step-by-step explanation:
The inverse function for a set of ordered pairs can be found by swapping the x- and y-coordinates in each pair.
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The inverse of a function expressed algebraically can be found by swapping the x- and y-variables and solving for y.
A function of its own inverse returns the original value:
If you would like to know Mike's tax, you can calculate this using the following steps:
a market value ... 310000
the property ... 40% of the market value = 40% * 310000 = 40/100 * 310000 = 124000
the tax rate ... 145.10 per 1000 of assessed valuation
145.10 ... 1000 of assessed valuation
x ... 124000 of assessed valuation
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145.10 * 124000 = 1000 * x /1000
x = 145.10 * 124000 / 1000
x = 17992.4 (Mike's tax)
The correct result would be: Mike's tax is 17992.4.
This is a geometric sequence with first term 1 and common ratio -1/2. r=-1/2.
a(n) = a(1)*(r)^(n-1).
Check: If n=2 our formula must return -1/2. Does it?
a(2) = 1(-1/2)^(2-1) = (-1/2)^1 = - 1/2. Yes.
a(3) should be 1/4. Is it? a(3) = (-1/2)^(3-1) = 1/4 Yes.
Then a(8) = (-1/2)^(8-1) = (-1/2)^7 = -1 / 2^7 = -1/128 (answer)
