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Nady [450]
3 years ago
10

Angle BCA is congruent to angle DAC, and angle BAC is congruent to angle DCA by:

Mathematics
1 answer:
snow_tiger [21]3 years ago
6 0
Answer is the alternate interior angles theorem
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A 48-ounce bottle of soda costs $1.79. What is the unit price?
Lisa [10]

Answer:

a. $.04

Step-by-step explanation:

$1.79/48 = 0.037 = 0.04

6 0
3 years ago
What are the equations of the asymptotes of the graph of f(x)=(5/x+7)−8 ?
ludmilkaskok [199]

Answer:

\mathrm{Vertical}:\:x=0,\:\mathrm{Horizontal}:\:y=-1

The graph of the function is also attached.

Step-by-step explanation:

Considering the expression

\:f\left(x\right)=\left(\frac{5}{x}+7\right)-8\:\:

\mathrm{Simplify}\:\frac{5}{x}+7-8:\quad \frac{5}{x}-1

\mathrm{Vertical\:asymptotes\:of\:}\frac{5}{x}-1:

Go over every undefined point x = a and check if at least one of the following statement is true.

\lim _{x\to a^-}f\left(x\right)=\pm \infty

\lim _{x\to a^+}f\left(x\right)=\pm \infty

\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{5}{x}-1\mathrm{\:and\:compare\:to\:zero}

x=0

The following points are undefined

x=0

\mathrm{The\:vertical\:asymptotes\:are:}

x=0

\mathrm{Horizontal\:Asymptotes\:of\:}\frac{5}{x}-1:

\mathrm{Check\:if\:at\:}x\to \pm \infty \mathrm{\:the\:function\:}y=\frac{5}{x}-1\mathrm{\:behaves\:as\:a\:line,\:}y=mx+b

\mathrm{Find\:an\:asymptote\:for\:}x\to -\infty \::

\lim _{x\to -\infty \:}\frac{f\left(x\right)}{x}=\lim _{x\to -\infty \:}\frac{\frac{5}{x}-1}{x}=0

\lim _{x\to -\infty \:}f\left(x\right)-mx=\lim _{x\to -\infty \:}\frac{5}{x}-1-0x=-1

y=-1

\mathrm{Find\:an\:asymptote\:for\:}x\to \infty:

\lim _{x\to \infty \:}\frac{f\left(x\right)}{x}=\lim _{x\to \infty \:}\frac{\frac{5}{x}-1}{x}=0

\lim _{x\to \infty \:}f\left(x\right)-mx=\lim _{x\to \infty \:}\frac{5}{x}-1-0x=-1

y=-1

\mathrm{The\:horizontal\:asymptote\:is:}

y=-1

Therefore,

\mathrm{Vertical}:\:x=0,\:\mathrm{Horizontal}:\:y=-1

The graph of the function is also attached.

6 0
4 years ago
Read 2 more answers
How many solutions does this equation have?<br> (15x + 21) / 3<br> = 5x + 7
Lesechka [4]

Answer:

3*(5*x-7)-(15*x-21)=0

Step-by-step explanation:

3 • (5x - 7) -  (15x - 21)  = 0

Step  2  :

Equation at the end of step  2  :

 0  = 0

Step  3  :

Equations which are always true :

7 0
3 years ago
Joshua spends 25 minutes of each day reading. He reads d days a week. Let m represent the number total minutes of reading a week
Rasek [7]

Answer:

25 x D = Y

Step-by-step explanation:

Example: Say he reads for three days a week.

25 x 3 = 75

or 6 days

25 x 6 = 150

or 4

25 x 4 = 100

4 0
3 years ago
Identify 2 composite numbers that each have 8 as a factor
suter [353]
2 composite numbers having 8 as factor:

8, 16, 24, 32, 40, 80, 800, 120 etc
7 0
3 years ago
Read 2 more answers
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