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Temka [501]
3 years ago
7

Given that ∠ABC is bisected by BD→, m∠ABD = (-159 – 12x)°, and m∠DBC = (3x + 96)°, find x and m∠ABC.

Mathematics
1 answer:
laiz [17]3 years ago
7 0
When anything is bisected, the two halves are equal. This means
(-159 - 12x) = (3x + 96)
-255 = 15x . . . . . . . . . . . . . add 12x-96
-17 = x

Then either of the smaller angles is
(3(-17) + 96)° = 45°

angle ABC is twice this value, or 90°.
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The housing market has recovered slowly from the economic crisis of 2008.​ Recently, in one large​ community, realtors randomly
Gwar [14]

Answer:

Step-by-step explanation:

Given that the housing market has recovered slowly from the economic crisis of 2008.​ Recently, in one large​ community, realtors randomly sampled 38 bids from potential buyers to estimate the average loss in home value.

s = sample std deviation = 3000

Sample mean = 9379

Sample size n = 38

df = 37

Std error of sample mean = \frac{s}{\sqrt{n} } \\=486.66

confidence interval 95% = Mean ± t critical * std error

=Mean ±1.687*486.66 = Mean ±821.003

=(8557.997, 10200.003)

a) If std deviation changes to 9000 instead of 3000, margin of error becomes 3 times

Hence 2463.008

b) The more the std deviation the more the width of confidence interval.

3 0
3 years ago
Suppose AC = 48, find the value of x. Then, find the length of AB and the length of BC.<br> 1
gladu [14]

Answer:

2x-4+3x+2=48

5x-2=48

5x=48+2

5x=50

x=10

Step-by-step explanation:

this

6 0
3 years ago
find the margin of error to use for this sample mean sushi based on a sample of 35 people he average out of pieces of sushi a pe
NNADVOKAT [17]

Answer:

{13.7756,18.2244}

Step-by-step explanation:

Given the sample size, the margin of error can be calculated with the formula M=Z*\frac{\sigma}{\sqrt{n}} where Z is the critical value for the desired confidence level, σ is the population standard deviation, and n is the sample size. Therefore, our margin of error for a 90% confidence level is:

M=Z*\frac{\sigma}{\sqrt{n}}=1.645*(\frac{8}{\sqrt{35}})=2.2244

The formula for a confidence interval is CI=\bar{x}+M where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is:

CI=\bar{x}\pm[M]=16\pm2.2244={13.7756,18.2244}

Therefore, we are 90% confident that the true mean amount of sushi pieces a person can eat is contained within the interval {13.7756,18.2244}

7 0
3 years ago
Hello please help i’ll give brainliest
vredina [299]

Answer:

nomads

Step-by-step explanation:

hope this helps with the work but you do know that this is not history

6 0
3 years ago
Read 2 more answers
Eli wants to plant 45 sunflower plants, 81 corn plants and 63 tomato plants in his garden. If he put the same number of plants i
Lynna [10]

Answer:

9

Step-by-step explanation:

For this problem, you would use the GCF

Find the GCF of 45, 81, 63

GCF(45, 81, 63) = 9

45 = 9 * 5

81 = 9 *9

63= 9 * 7

Since 5, 9, 7 have no common factors, the GCF has to be 9.

This means that the greatest number of plants he can put in each row is 9.

The number of rows he uses for each plant will (obviously) vary.

4 0
3 years ago
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