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3 years ago

Which method can you use to prove these triangles congruent?

Mathematics

2 answers:

Brut [27]3 years ago

7 0

Answer:

The SAS Postulate

Step-by-step explanation:

Because the two triangles only have two sides and one angle, the only real solution is to use the Side Angle Side postulate to find the answer.

vampirchik [111]3 years ago

5 0

SAS you would be able to tell if a triangle is congruent

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Randomly selected students participated in an experiment to test their ability to determine when one minute (or sixty seconds)

zalisa [80]

Answer: $(57.41,\ 62.19)$

Step-by-step explanation:

Given : Sample size : $n=40$

Sample mean : $\overline{x}=59.8\text{ seconds}$

Standard deviation : $\sigma =9.2\text{ seconds}$

Significance level : $\alpha=1-0.9=0.1$

Critical value : $z_{\alpha/2}=1.645$

Formula to find the confidence interval for population mean :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=59.8\pm(1.645)\dfrac{9.2}{\sqrt{40}}\\\\\approx59.8\pm2.39\\\\=(59.8-2.39,\ 59.8+2.39)\\\\=(57.41,\ 62.19)$

Hence, a 90% confidence interval estimate of the population mean of all students = $(57.41,\ 62.19)$

6 0

3 years ago

Tom is in dire need of a new washing machine. He knows what model he would like to get, but doesn't have the cash to pay for it.

PSYCHO15rus [73]

Answer:

b. Steve's Scratch and Dent.

Step-by-step explanation:

Tom should purchase his washing machine from Steve's Scratch and Dent.

6 0

3 years ago

Solve 4^x+2 = 12 for x using the change of base formula log base b of y equals log y over log b.

valentinak56 [21]

The value of x is 1.66

Step-by-step explanation:

Let use revise the rules of exponential and logarithmic equations

1. If y = $b^{x}$ , then $log_{b}(y)=x$

2. $log_{b}(y) = \frac{log(y)}{log(b)}$

Use the rules above to solve the problem

∵ $4^{x}+2=12$

- Subtract 2 from both sides

∴ $4^{x}=10$

change the exponential equation to logarithmic equation

∴ $log_{4}(10)=x$

∵ $log_{4}(10) = \frac{log(10)}{log(4)}$

∴ x = $\frac{log(10)}{log(4)}$

∴ x = 1.66

The value of x is 1.66

Learn more:

You can learn more about logarithmic function in brainly.com/question/10633485

#LearnwithBrainly

6 0

4 years ago

Eight parentheses x plus two parentheses

jarptica [38.1K]

Answer:

Step-by-step explanation:

8+2=10

3 0

3 years ago

Planes A and B intersect.

myrzilka [38]

Answer:

Option (1)

Step-by-step explanation:

From the picture attached,

Two planes have been given as plane A and plane B.

Two lines 'm' and 'n' are on the plane A.

These lines intersect each other at a point W.

Therefore, point W describes the point of intersection of the lines 'm' and 'n'.

Option (1) will be the correct option.

8 0

4 years ago