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3 years ago

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Which of the following conditions make a pair of triangles congruent? One angle and two sides are congruent.Two angles and one s

ide are congruent.Two corresponding sides and one angle are congruent.Two corresponding sides and two corresponding angles are congruent.

1 answer:

aleksandrvk [35]3 years ago

5 0

The correct answer would be two corresponding sides and two corresponding angles are congruent.

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Explore the difference between volume and pitch as well as what causes them.

olchik [2.2K]

Answer:

Sound energy is produced when a force causes an object or substance to vibrate. The energy is then transferred through the substance in waves, called sound waves.

Step-by-step explanation:

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3 years ago

User: A family spends 1/10 of its annual income for housing, 1/4 for food and clothing, 1/5 for general expenses, and 2/15 for e

Whitepunk [10]

$\frac{1}{10}+\frac{1}{4}+\frac{1}{5}+\frac{2}{15}= \\ \\ \frac{1 \times 6}{10 \times 6}+\frac{1 \times 15}{4 \times 15}+\frac{1 \times 12}{5 \times 12}+\frac{2 \times 4}{15 \times 4}= \\ \\
\frac{6}{10}+\frac{15}{60}+\frac{12}{60}+\frac{8}{60}= \\ \\ \frac{41}{60}$

The answer is A.

4 0

4 years ago

A class survey in a large class for first-year college students asked, “About how many minutes do you study on a typical weeknig

Anika [276]

Answer: (110.22, 125.78)

Step-by-step explanation:

The confidence interval for the population mean is given by :-

$\mu\ \pm z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size = 463

$\mu=118\text{ minutes}$

$\sigma=65\text{ minutes}$

Significance level : $\alpha=1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=\pm2.576$

We assume that the population is normally distributed.

Now, the 90% confidence interval for the population mean will be :-

$118\ \pm\ 2.576\times\dfrac{65}{\sqrt{463}} \\\\\approx118\pm7.78=(118-7.78\ ,\ 118+7.78)=(110.22,\ 125.78)$

Hence, 99% confidence interval for the mean study time of all first-year students = (110.22, 125.78)

3 0

4 years ago

Select from the drop - down menus to correctly complete each statement

Stels [109]

In a flowchart proof, <u>statements</u> and <u>conclusions</u> are connected with arrows.

In terms of mathematics, a statement is simply any sentence in which it can be verifiably true or false. A statement cannot be a subjective opinion. It must be an objective fact and there must not be any ambiguity involved. A conclusion is also a statement that derives from the first statement made.

As an example, you can have the simple argument "if it rains, then it gets wet outside". So the box on the left would be "it rains" and the box on the right would be "it gets wet outside". An arrow connecting the two shows the logical flow of how the argument is set up.

See the diagram below.

Side note: the box on the left is also considered the antecedent because it comes before the conclusion.

5 0

3 years ago

Little Melinda has nickels and quarters in her bank. She has two

SCORPION-xisa [38]

A) N +2 = Q which equals

A) N -Q = -2

B) .05N +.25Q = 3.50 multiplying A) by .25

A) .25N -.25Q = -.5 then adding A) and B)

.30N = 3

Nickels = 10 Quarters = 12

*************DOUBLE CHECK ***************

.05 nickels = $0.50 .25 Quarters = $3.00

7 0

4 years ago