Answer: B) 4 & 1/6
Nice work on getting the correct answer.
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Explanation:
x is opposite the marked acute angle
5 is opposite the corresponding acute angle
So x and 5 are proportional to each other. We can form the ratio x/5
Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.
Set those ratios equal to each other and solve for x
x/5 = 10/12
12x = 5*10 ... cross multiply
12x = 50
x = 50/12 ...... divide both sides by 12
x = (25*2)/(6*2)
x = 25/6
x = (24+1)/6
x = 24/6 + 1/6
x = 4 + 1/6
x = 4 & 1/6 which shows why <u>choice B</u> is the answer.
Side note: 25/6 = 4.167 approximately
Answer:
225
Step-by-step explanation:
Mary = 3x (3 times Carey)
Carey = x
Barry = x/2 (Because Carey read twice as many as Barry, it means he read half the amount Carey did)
3x + x + x/2 = 405
4x + x/2 = 405
8x/2 + x/2 (treat these as fractions) = 405
9x/2 = 405
9x = 810 (cross multiply)
x = 90
Mary = 3(90) 270
Carey = 90
Barry = 90/2 45
Mary - Barry
270 - 45 = 225
Hope this helps! :)
Answer:
$37.12
Step-by-step explanation:
When $816.64 is divided 22 ways, each portion is (not surprisingly) ...
... $816.64/22 = $37.12
Answer:
Both graphs have been shifted and flipped
Both graphs have exactly one asymptote
Step-by-step explanation:
Choice A is incorrect since both graphs are not logarithmic functions. The graph of f(x) appears to be an exponential function.
Choice B is also incorrect since both graphs are not exponential functions. The graph of g(x) does not belong to the exponential family since y can take on negative values.
When the graph of f(x) is shifted downwards and flipped, we can obtain the graph of g(x).
Both graphs have exactly one horizontal asymptote
