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erica [24]
2 years ago
5

Triangle ABC is similar to triangle WYZ.

Mathematics
1 answer:
Inga [223]2 years ago
7 0

9514 1404 393

Answer:

  False

Step-by-step explanation:

Corresponding angles in similar triangles are congruent. The similarity statement tells you angle B corresponds to angle Y, so those angles are congruent. The sines of congruent angles are identical.

  sin(B) > sin(Y) . . . . FALSE

  sin(B) = sin(Y) . . . . true

You might be interested in
If 420 = 120%, what would 100% equal?
Ira Lisetskai [31]

Answer:

350

Step-by-step explanation:

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100

120% = 120/100 = 120 ÷ 100 = 1.2

100% = 100/100 = 100 ÷ 100 = 1

Percentage of 120% of what number = 420?

120% × ? = 420

? =

420 ÷ 120% =

420 ÷ (120 ÷ 100) =

(100 × 420) ÷ 120 =

42,000 ÷ 120 =

350

<h2>Proof</h2><h3>How do we check the result?</h3>

If 120% × 350 = 420 =>

Divide 420 by 350...

... And see if we get as a result: 120%

<h3>Note:</h3>

Multiply a number by the fraction 100/100,

... and its value doesn't change.

100/100 = 100 ÷ 100 = 1

n/100 = n%, any number.

<h2>Hope it is helpful....</h2>
8 0
3 years ago
It takes half of a yard of ribbon to make a bow. How many bows
Ksenya-84 [330]
14 because you can make 2 bows with 1 yard and 7 x 2 is 14
4 0
2 years ago
Read 2 more answers
Need help homies, no steps needed
VashaNatasha [74]

Answer:

12 have a good day

Step-by-step explanation:

4 0
3 years ago
CAN U HELP ME PLZ!!!! |<br> \/
slava [35]

Answer:

7.33

Step-by-step explanation:

6 0
3 years ago
Suppose that a local TV station conducts a survey of a random sample of 120 registered voters in order to predict the winner of
forsale [732]

Answer:

a) The 99% CI for the true proportion of voters who prefer the Republican candidate is (0.3658, 0.6001). This means that we are 99% sure that the true population proportion of all voters who prefer the Republican candidate is (0.3658, 0.6001).

b) The upper bound of the confidence interval is above 0.5 = 50%, which meas that the candidate can be confidence of victory.

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

Sample of 120 registered voters in order to predict the winner of a local election. The Democrat candidate was favored by 62 of the respondents.

So 120 - 62 = 58 favored the Republican candidate, so:

n = 120, \pi = \frac{58}{120} = 0.4833

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.  

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4833 - 2.575\sqrt{\frac{0.4833*0.5167}{120}} = 0.3658

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4833 + 2.575\sqrt{\frac{0.4833*0.5167}{120}} = 0.6001

The 99% CI for the true proportion of voters who prefer the Republican candidate is (0.3658, 0.6001). This means that we are 99% sure that the true population proportion of all voters who prefer the Republican candidate is (0.3658, 0.6001).

b. If a candidate needs a simple majority of the votes to win the election, can the Republican candidate be confident of victory? Justify your response with an appropriate statistical argument.

The upper bound of the confidence interval is above 0.5 = 50%, which meas that the candidate can be confidence of victory.

8 0
3 years ago
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