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3 years ago

Which congruence statement proves the two triangles are congruent?

Mathematics

2 answers:

labwork [276]3 years ago

4 0

Answer:

AAS

Step-by-step explanation:

you have to angles on the same segment and one congruent side marked on the other side. this means that the triangles are congruent by AAS

MrRa [10]3 years ago

3 0

Answer:

ASA

Step-by-step explanation:

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What are the missing lengths ???

lesantik [10]

Answer:

1. c = 13

2. a = 20

Step-by-step explanation:

1. 12² + 5² = x²

144 + 25 = x

144 + 25 = 169

√169 = 13

2. 29² - 21² = x²

841 - 441 = x

841 - 441 = 400

√400 = 20

7 0

3 years ago

steven wants to buy a 565 bicycle. steven had no money saved,but will be able to deposit $30 into a savings account when he rece

goldenfox [79]

Answer:

21 weeks

Step-by-step explanation:

565+65=630/30=21

8 0

3 years ago

for the data values below construct a 95 confidence interval if the sample mean is known to be 12898 and the standard deviation

Volgvan

Answer:

A 95% confidence interval for the population mean is [3315.13, 22480.87] .

Step-by-step explanation:

We are given that for quality control purposes, we collect a sample of 200 items and find 24 defective items.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample proportion of defective items = 12,898

s = sample standard deviation = 7,719

n = sample size = 5

$\mu$ = population mean

Here for constructing a 95% confidence interval we have used a One-sample t-test statistics as we don't know about population standard deviation.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-2.776 < $t_4$ < 2.776) = 0.95 {As the critical value of t at 4 degrees of

freedom are -2.776 & 2.776 with P = 2.5%}

P(-2.776 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.776) = 0.95

P( $-2.776 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.776 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-2.776 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.776 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-2.776 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.776 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $12,898-2.776 \times {\frac{7,719}{\sqrt{5} } }$ , $12,898+2.776 \times {\frac{7,719}{\sqrt{5} } }$ ]

= [3315.13, 22480.87]

Therefore, a 95% confidence interval for the population mean is [3315.13, 22480.87] .

5 0

4 years ago

According to the National Health Survey, the weights of

Stells [14]

Answer:

3.625

Step-by-step explanation:

Given a normal distribution :

Average weight = population mean = 172 pounds

Population standard deviation = 29 pounds

Number of samples selected(n) = 64

The standard deviation of the sample also called the standard error is the proportion of the population standard deviation to the square root of the number samples.

Sample standard deviation :

Population standard deviation /√n

= 29 /√64

= 29 / 8

= 3.625

5 0

3 years ago

6(2x²-5) = [?] x = -3

Korvikt [17]

Answer:

Step-by-step explanation:

plug in -3 as x

6(2(-3)^2-5)

6(2(9)-5)

6(18-5)

6(13)

5 0

2 years ago

Read 2 more answers