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3 years ago

Cuando un poligono puede ser concavo o convexo

Mathematics

1 answer:

Verdich [7]3 years ago

4 0

Para que un polígono sea convexo, todos sus ángulos interiores deben ser inferiores a 180 grados

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Triangle CAT is transformed to produce triangle DOG.

PilotLPTM [1.2K]

Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.

A reflection, then a translation.
A rotation, then a reflection.

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Two triangles are congruent if they have the same lengths of the sides and the same angles.

In a reflection, there is a rule that changes the coordinates (x,y), but does not change the lengths of the sides of the triangles, thus they will still be congruent.
A reflection is also a special case of rotation, thus, in a rotation, the triangles are also congruent.
A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
In a dilation, the lengths of the sides are changed, thus, the triangles will not be congruent.

--------------------------

Thus, from the bullet points above, the correct options are:

A reflection, then a translation.
A rotation, then a reflection.

A similar problem is given at brainly.com/question/24267298

3 0

3 years ago

Determine if the pair of ratios or rates are equivalent.

Norma-Jean [14]

Yes because $18 divided by 3 bracelets makes the price per bracelet $6. $30 divided by 5 bracelets makes the price per bracelet $6. The cost per bracelet is the same so the cost to bracelet ratio is the same and both are a $6 to 1 bracelet ratio

5 0

3 years ago

What is the value of x?

stiks02 [169]

Answer:

Step-by-step explanation:

Use Pythagoras Theorem

x² + 16² = 34²

x² + 256 = 1156

x² = 1156 - 256

x² = 900

x= √3*3*10*10

x= 3*10

x = 30

4 0

3 years ago

Read 2 more answers

It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per nig

Kitty [74]

Answer: No , at 0.05 level of significance , we have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

Step-by-step explanation:

Let $\mu$ denotes the average hours of sleep per night.

As per given , we have

$H_0:\mu=7\\H_a:\mu$

, since $H_a$ is left-tailed and population standard deviation is unknown, so the test is a left-tailed t -test.

Also , it is given that ,

Sample size : n= 22

Sample mean : $\overline{x}=7.24$

Sample standard deviation : s= 1.93

Test statistic : $t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}$

i.e. $t=\dfrac{7.24-7}{\dfrac{1.93}{\sqrt{22}}}\approx0.58$

For significance level $\alpha=0.05$ and degree of freedom 21 (df=n-1),

Critical t-value for left-tailed test= $t_{\alpha, df}=t_{0.05,21}=- 1.7207$

Decision : Since the test statistic value (0.58) > critical value 1.7207, it means we are failed to reject the null hypothesis .

[Note : When $|t_{cal}|>|t_{cri}|$ , then we accept the null hypothesis.]

Conclusion: We have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

6 0

3 years ago

PLASE HELP!!! I WILL GIVE BRAINLIEST!!!

zhannawk [14.2K]

0.43 =

3/100 = 0.03

+

4/10 = 0.4

0.03 + 0.4 = 0.43.

Hope this helped☺☺

4 0

3 years ago

Read 2 more answers