Which of the following must be shown in order to prove that two irregular polygons are similar?

The ratio of rock music to total CDs that ella owns is 25/40. Paolo has 50 rock music CDs. The ratio of rock music to total CDs

qaws [65]

They own a total of 120 CDs.

GIVEN:
Ella: ratio of rock music to total CDs that she owns 25/40
Paolo: has 50 rock music CDs. The ratio of rock music to total CD is equal to Ella's ratio.

Proportion: a/b = c/d where ad = bc

25/40 = 50/x
25x = 40 * 50
25x = 2000
25x / 25 = 2000 / 25
x = 80 total of Paolo's CDs

Total of Ella's CDs = 40
Total of Paolo's CDs = 80
Total CDs in all 120

5 0

3 years ago

An important factor in selling a residential property is the number of times real estate agents show a home. A sample of 23 home

yanalaym [24]

Using the t-distribution, it is found that:

a. The margin of error is of 4.7 homes.

b. The 98% confidence interval for the population mean is (19.3, 28.7).

The information given in the text is:

Sample mean of $\overline{x} = 24$ .
Sample standard deviation of $s = 9$ .
Sample size of $n = 23$ .

We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.

The confidence interval is:

$\overline{x} \pm M$

The margin of error is:

$M = t\frac{s}{\sqrt{n}}$

Item a:

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 23 - 1 = 22 df, is t = 2.508.

Then, the margin of error is:

$M = t\frac{s}{\sqrt{n}} = 2.508\frac{9}{\sqrt{23}} = 4.7$

Item b:

The interval is:

$\overline{x} - M = 24 - 4.7 = 19.3$

$\overline{x} + M = 24 + 4.7 = 28.7$

The 98% confidence interval for the population mean is (19.3, 28.7).

A similar problem is given at brainly.com/question/15180581

3 0

2 years ago

10. What is the value of x in the figure at the right? (Examples 3 and 4

Montano1993 [528]

Answer:

x = 37

Step-by-step explanation:

Vertically opposite angles are equal

Therefore, 2x + 6 = 80

Subtract 6 from both sides: 2x = 74

Divide both sides by 2: x = 37

8 0

2 years ago

Read 2 more answers

HELP FAST PLS ILL LOVE U FOREVER <3 Angle ABC is 47 degrees. What is the the measure of angle CBD?

AysviL [449]

Answer:

43

Step-by-step explanation:

we know that ABC and CBD need to add up to 90 so we have

47+CBD=90

CBD=43

6 0

3 years ago

Read 2 more answers

Any two normal curves are the same except for their Multiple Choice standard deviations. means. standard deviations and means. s

Neko [114]

Answer:

Standard deviation, means, skewness and kurtosis.

Step-by-step explanation:

Two normal curves may be same but they have different means, standard deviation and skewness. There can be different standard deviation for two curves and there is difference in skewness.

7 0

2 years ago