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Mamont248 [21]
3 years ago
9

Anyone know the answer?

Mathematics
1 answer:
shtirl [24]3 years ago
5 0

C

alternate interior angles theorem: If a transversal intersects two parallel lines, then the alternate interior angles are congruent. thus, if the alternate interior angles are congruent, then the lines are parallel.

all the angles are congruent, so m || n and p || q.


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14.12 = 1/2 (3.6x - 12.8)<br><br> show work
Sergio039 [100]

Answer:

x = 11.4

Step-by-step explanation:

14.12 = \frac{1}{2} ( 3.6x - 12.8 )

Rewrite so that the equation is entirely in decimals;

14.12 = 0.5( 3.6x - 12.8 )

Distribute;

14.12 = 1.8x - 6.4

Inverse operations;

14.12 = 1.8x - 6.4

+6.4            +6.4

20.52 = 1.8x

/1.8        /1.8

11.4 = x

4 0
3 years ago
Read 2 more answers
The 19 members of a football team are trying to raise at least $1266.00 to cover the traveling cost for a holiday tournament. If
SIZIF [17.4K]
To solve this, you need to do 1,266-451. that equals 815. then, divide 815 by 19. you should get 43. hope that helps.
8 0
3 years ago
PLEASE HELP<br> Identify the first five terms of the sequence in which a, = 3n2 - 1.
Neko [114]

Step-by-step explanation:

you cannot just put the actual numbers in and calculate ?

and you can't provide the correct problem statement, as it seems.

I assume you mean

an = 3n² - 1

a sequence starts with a1, so, n>=1

a1 = 3×1² - 1 = 3-1 = 2

a2 = 3×2² -1 = 3×4 - 1 = 12 - 1 = 11

a3 = 3×3² - 1 = 3×9 - 1 = 27 - 1 = 26

a4 = 3×4² - 1 = 3×16 - 1 = 48 - 1 = 47

a5 = 3×5² - 1 = 3×25 - 1 = 75 - 1 = 74

there, that is all there is to it. you really needed help with that ?

6 0
3 years ago
Simplify this equation please.
Sauron [17]
\dfrac{\csc^2\theta-3\csc\theta+2}{\csc^2\theta-1}

Identity:

\sin^2\theta+\cos^2\theta=1\implies1+\cot^2\theta=\csc^2\theta

So we can rewrite the denominator to get

\dfrac{\csc^2\theta-3\csc\theta+2}{\cot^2\theta}

Multiply numerator and denominator by \sin^2\theta. Several terms will cancel since \sin\theta\csc\theta=1. Also, \cot\theta=\dfrac{\cos\theta}{\sin\theta}. We get

\dfrac{1-3\sin\theta+2\sin^2\theta}{\cos^2\theta}

Factorize the numerator, and write \cos in terms of \sin in the denominator to factorize it further to get

\dfrac{(1-\sin\theta)(1-2\sin\theta)}{\cos^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{1-\sin^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{(1-\sin\theta)(1+\sin\theta)}


The 1-\sin\theta factors cancel, leaving you with

\dfrac{1-2\sin\theta}{1+\sin\theta}

which you could simplify a bit further by writing

\dfrac{1+\sin\theta-3\sin\theta}{1+\sin\theta}=1-\dfrac{3\sin\theta}{1+\sin\theta}
3 0
4 years ago
How do you model a decimal using a fraction
stiks02 [169]
Okie dokie, 
When converting a decimal, you use the place the decimal is in...
Let's review the places: tenths, hundredths, thousandths, etc.
You look at the last number to determine what place you're using!
-------------------
Now here's an example for the tenths place:
.5
it's in the tenths place, right? so put it over that number (with no decimal) over a 10.
(mobile) 5/10 or \frac{5}{10}
Now, decide if you can simplify. You can! 5/10 simplifies down to 1/2.
\frac{1}{2} is your answer!
--------
Example for the hundredths place:
.26
the last number is in the hundredths place, so put the number (without a decimal) over 100!
26/100 or \frac{26}{100}
You can simplify this!
13/50 is your answer!

Calculators can also come in handy!
Good luck!

4 0
3 years ago
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