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damaskus [11]
2 years ago
10

5

Mathematics
1 answer:
Nadya [2.5K]2 years ago
4 0

In the given diagram, the value of AC is 24. The correct option is B. 24

<h3>Properties of rectangle </h3>

From the question, we are to determine the value of AC

From one of the properties of a rectangle, we have that

The diagonals of a rectangle are equal and bisect each other.

Then, in the given diagram

AC = DB

Thus,

3x - 6 + 3x - 6 = 2x + 2x

6x -12 = 4x

6x - 4x = 12

2x = 12

x = 12/2

x = 6

In the diagram,

AC = 3x - 6 + 3x - 6

AC = 3(6) -6 + 3(6) - 6

AC = 18 - 6 + 18 - 6

AC = 24

Hence, the value of AC is 24. The correct option is B. 24

Learn more on the Properties of a rectangle here: brainly.com/question/23008020

#SPJ1

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Item 1<br> Find the dimensions of the square.<br><br> Area = 441 cm²
mafiozo [28]

Answer:

21 cm by 21 cm

Step-by-step explanation:

The formula for the area of a square is A = x^2, where x is the length of any one side of the square.  Here,

441 cm² = x²

This actually has two roots:  {√441, -√441), but since x must be positive here, to be a dimension of the square, we choose +√441, or +21.

The dimensions of the square are 21 cm by 21 cm.

3 0
3 years ago
-1 3/5 divided by (-2/3) write as mixed number
hichkok12 [17]

Step-by-step explanation:

- 1  \frac{3}{5}  \div  \frac{ - 2}{3}

Convert the mixed numbers above to improper fractions. Thus:

\frac{ - 8}{5}  \div   \frac{ - 2}{3}

In order to simplify the fractions above, the division sign changes to multiplication sign thus turn the right hand side of the fraction inversely such that -2/3 to -3/2. Hence,

\frac{ - 8}{5}  \times  \frac{ - 3}{2}

\frac{ - 8 \times  - 3}{5 \times 2}

=  \frac{24}{10}

= 2  \frac{4}{10}

= 2  \frac{2}{5}

3 0
3 years ago
Quit Smoking: The New England Journal of Medicine published the results of a double-blind, placebo-controlled experiment to stud
Juliette [100K]

Answer:

Option A is correct.

In this experiment the nicotine treatment had a higher success rate than the placebo group, but the improvement was less than 1%. It was exactly 0.8%

Step-by-step explanation:

In a drug treatment experiment, there are usually two groups.

- The treatment group; they get the full dosage and content of the drug to be tested.

- The placebo group; here, they sort of serve as the control group. They get the dosage of the drug to be tested with the active ingredient of the drug removed.

Double blind means that both the participants and the conductors do not know which members belong to which treatment group. It is used to increase the randomness of the sampling technique.

For this experiment, nicotine patches, antidepressants and bupropion are used to help people quit smoking.

It is explained that the the rate at which the participants quit smoking is recorded and at the end, a sample mean is obtained.

The difference in sample means of both groups is then obtained by solving

(Rate of quit smoking for the treatment group) - (Rate of quit smoking for the placebo group)

This difference was obtained to be positive 0.8%. It is evident that this figure represents a higher success rate for the treatment group than the placebo group, but the improvement was less than 1%. (0.8%).

All the other options are either incorrect or not clearly stated in the description ofthe experiment.

- In this experiment, the placebo group had a higher success rate than the nicotine group by 0.8%.

This is obviously not true, it is the reverse of the true statement.

- Nicotine patches will produce a slightly higher success rate when compared to a placebo, but the difference is not statistically significant.

This started with a true statement bit it ended with a statement we cannot confirm because we don't know the sample size for either of the groups involved in the experiment. So, it isn't totally true.

- Nicotine patches and the antidepressant bupropion work equally well on "quit smoking" rates.

They don't have an equal rate of working. The nicotine slightly works better as stated in the question.

Hope this Helps!!!

5 0
3 years ago
I giveeee brainlilsttt
Alisiya [41]

Answer:

5, -5

Step-by-step explanation:

;)

6 0
3 years ago
Read 2 more answers
Name the polygon. Then tell whether it is a regular polygon or not a regular polygon
arlik [135]

Answer:

pentagon

Step-by-step explanation:

it a regular polygon

7 0
3 years ago
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