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3 years ago

Which is a correct two-column proof? Given: ∠h and ∠c are supplementary. Prove: j || l

Mathematics

1 answer:

pentagon [3]3 years ago

7 0

Answer:

Third option is the correct answer.

Step-by-step explanation:

Third option is the correct answer.

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Help with proving the following

Galina-37 [17]

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

First step

⇒ consider the fact cotθ = 1 / (tanθ)

$\frac{1+tanx}{1+cotx} =\frac{1+tanx}{1+\frac{1}{tanx} }$

Second step

⇒ form a common denominator for the fraction in the 'denominator'

$\frac{1+tanx}{1+\frac{1}{tanx} } =\frac{1+tanx}{\frac{tanx+1}{tanx} }$

Let's flip over the fraction on the denominator

$\frac{1+tanx}{\frac{tanx+1}{tanx} } =(1+tanx) * \frac{tanx}{1+tanx} =tanx$

And there you go, you have proved the statement by following these steps!

*note, I used 'x' because the equation creator didn't have 'θ' symbol

Hope that helps!

#LearnwithBrainly

4 0

2 years ago

A bag with 2 2/4 ounces of peanuts can make 2/3 of a jar of peanut butter. It can make one full jar with how many ounces of pean

lbvjy [14]

One whole jar= 3/3 or 1

Set up a ratio comparing the two sets of measurements.

2 2/4 ounces of peanuts is to 2/3 of a jar as x ounces of peanuts is to 3/3 of a jar.

x= ounces in 1 whole jar

2 2/4 / 2/3= x / 3/3
cross multiply

(2 2/4 * 3/3)= (2/3 * x)
convert to improper fractions

10/4 * 3/3= 2/3x
multiply numerators; multiply denominators

(10*3)/(4*3)= 2/3x

30/12= 2/3x
divide both sides by 2/3

30/12 ÷ 2/3= x
to divide fractions, multiply by the reciprocal/inverse of 2/3

30/12 * 3/2= x
multiply numerators; multiply denominators

(30*3)/(12*2)= x
90/24= x
simplify by 6

15/4 or 3 3/4 ounces= x

ANSWER: 3 3/4 ounces can make a full jar.

Hope this helps! :)

5 0

3 years ago

Walt's monthly salary is $6,962.What would be his equivalent semimonthly salary?

nalin [4]

"semi-monthly" means getting paid twice a month, so to find walt's semi-monthly salary, all you'd have to do here is divide his monthly salary in half. he'd get like two installments in one month if that makes sense

6962/2 = 3481

his semi-monthly salary is $3,481

4 0

3 years ago

The quotient of the sum of 2t and 2 and twice the cube of s

Vladimir79 [104]

The equation according to the given verbal sentence is $\frac{2 t+2}{2 s^{3}}$ (after solving this $\frac{t+1}{s^{3}}$ ).

Step-by-step explanation:

Rewrite the given verbal sentence and so it will be easier to translate.

Given: The quotient of the sum of 2 t and 2 and twice the cube of s

sum of 2 t and 2 can be written as

2 t + 2

twice the cube of s

$2 s^{3}$

Now, combine the above according to the given verbal. The quotient of the sum of 2 t and 2 and twice the cube of s means,

2 t + 2 divided by $2 s^{3}$

Now, the equation would be $\frac{2 t+2}{2 s^{3}}$

When solving this equation, we get

$\frac{2(t+1)}{2 s^{3}}=\frac{t+1}{s^{3}}$

8 0

3 years ago

Show work , I’ll vote you brainliest if it is correct . Thank you

kozerog [31]

Answer:

Whats the question to this problem? Do you want to know if it's correct?

i can help! Just show your work? 1/2 times whatever X is + X+1 over whatever X is = 1/2 i can get the answer if you need it unless what i said helped! :) Your welcome!

Step-by-step explanation:

Have a great week! Hope i helped! Plz dont delete answer i promise i will help and it will be correct!

6 0

3 years ago