Graph the inequality x

Which dimensions can create more than one triangle? A.three angles measuring 25, 65, and 90 B.three angles measuring 50, 50, and

dolphi86 [110]

Answer:

A. three angles measuring 25, 65, and 90

Step-by-step explanation:

For any triangle to be formed, the sum of angles must be 180° and the lengths of the sides must satisfy the triangle inequality (the sum of the two shortest sides is at least the length of the longest side).

A triangle can be formed only by selections A, C, and D. The triangles formed by the specification of 3 sides are unique. (That is why we can have SSS congruence.) So selections C and D will not form more than one triangle.

The triangle formed by three given angles (and no given side) will not be unique. (That is why we cannot have AAA congruence; only AAA similarity.) Many different triangles can be formed having these angles.

The appropriate choice is selection A.

7 0

3 years ago

Read 2 more answers

Halfway through the season, a soccer player has made 15 penalty kicks in 19 attempts. Based on her performance to date, what i

stepladder [879]

Answer:

$\dfrac{15}{19}$

Step-by-step explanation:

The soccer player so far has made 15 penalty kicks in 19 attempts.

Therefore:

Total Number of trials =19

Number of Successes =15

Therefore, the relative frequency probability that she will make her next penalty kick is:

$=\dfrac{\text{Number of Successes}}{\text{Total Number of Trials}} \\=\dfrac{15}{19}$

7 0

3 years ago

The eastern continental trail is 15 times longer than the Erie canal way trail. The combined length of the hiking trails is 5,76

Lena [83]

The length of eastern continental trail is 5400 miles and length of erie canal trail is 360 miles.

Step-by-step explanation:

Given,

Combined length of both trails = 5760 miles

Let,

x be the length of eatern continental trail.

y be the length of Erie canal trail.

According to given statement;

x+y=5760 Eqn 1

x = 15y Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$15y+y=5760\\16y=5760$

Dividing both sides by 16

$\frac{16y}{16}=\frac{5760}{16}\\y=360\\$

Putting y=360 in Eqn 2

$x=15(360)\\x=5400$

The length of eastern continental trail is 5400 miles and length of erie canal trail is 360 miles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

6 0

3 years ago

What is 1.5 to the third power?

motikmotik

3.375 would be the answer, exponents with decimals is the same as regular exponents, just multiple the base number times the exponent you are working with

7 0

3 years ago

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. A random sample of 40 new homes built in H

vlada-n [284]

Answer:

The test statistic is z = 2.7.

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

Step-by-step explanation:

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. Evidence that it has increased?

This means that the null hypothesis is:

$H_0: \mu = 1872$

And the alternate hypothesis is:

$H_a: \mu > 1872$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

1872 is tested at the null hypothesis:

This means that $\mu = 1872$

Sample of 40. The average square footage was 2,031 with a standard deviation of 373 square feet.

This means that $n = 40, X = 2031, \sigma = 373$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{2031 - 1872}{\frac{373}{\sqrt{40}}}$

$z = 2.7$

Pvalue and decision:

The pvalue of the test is the probability of finding a sample mean above 2031. This is 1 subtracted by the pvalue of z = 2.7.

Looking at the z-table, z = 2.7 has a pvalue of 0.9965

1 - 0.9965 = 0.0035

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

7 0

3 years ago

Graph the inequality x > 3