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2 years ago

Solve each equation. List any restrictions. Check your solutions. 12/x+11=17

1 answer:

6 0

12+11x=17x11x+12=17x
(both sides of the equation)
11x+12−17x=17x−17x
(Subtract 17x from both sides)
−6x+12=0−6x+12−12=0−12
(Subtract 12 from both sides)
−6x=−12−6x−6=−12−6
(Divide both sides by -6)
x=2
Check answers. (Plug them in to make sure they work.)
x=2
(Works in original equation)

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What do the difference between the adjacent angle and opposite angle

PtichkaEL [24]

Answer:

The difference between the adjacent angle and the opposite angle is that for the adjacent side is the side next to the reference angle, and for the opposite side is the side directly across from the reference angle.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

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2 years ago

In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that lines

ohaa [14]

Answer:

See the proof.

Step-by-step explanation:

Statement   Reason

1.∠1 and ∠2 are supplementary angles --- Given

2. m∠1 + m∠2 = 180° --- Linear pair, they are supplementary

3. m∠1 and m∠3 are supplementary angles -- m∠1 + m∠3= 180

(Supplementary angles add upto 180 degrees)

4. m∠1 and m∠3 ------ Exterior sides in opposite rays

5. m∠1 + m∠2 = m∠1 + m∠3 ------ Transitive property

6. m∠2 = m∠3 -------------- Subtraction property

7. l || m ------------- If two lines are cut by transversal the alternative interior

angles are the same, then the lines are paralle.

Thank you.

4 0

2 years ago

One counting number is 4 times great as a counting number.The product of the two number is 36.What is the sum of the two number

VARVARA [1.3K]

Answer:

The sum of the two numbers is 15

Step-by-step explanation:

Let the counting numbers be x and y.

Then we can write the following equations

x=4y.......1 (one is four times greater )

x(y)=36.....2 (the product of the two)

Putting equation 1 into equation 2, we get

4y(y)=36

${4y}^{2} = 36$

Dividing through by 4,we get

${y}^{2} = \frac{36}{4}$

${y}^{2} = 9$

Taking square root of both side, we obtain

y=3

Putting the value of y into equation , we get

x=4(3)=12

Hence the numbers are 3 and 12

Therefore the sum of the two numbers is 3+12=15

3 0

2 years ago

A pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. This plan randomly

Keith_Richards [23]

Answer:

0.7208 = 72.08% probability that this whole shipment will be accepted.

Step-by-step explanation:

For each tablet, there are only two possible outcomes. Either it meets the required specifications, or it does not. The probability of a tablet meeting the required specifications is independent of any other tablet, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$