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3 years ago

How Can Cassie probe the quadrilateral ABCD is a parallelogram

Mathematics

1 answer:

Mashcka [7]3 years ago

7 0

Answer:

Explained below.

Step-by-step explanation:

A quadrilateral with two opposite pair of sides parallel to each other is known as a parallelogram.

To prove that a quadrilateral is a parallelogram, the following properties can be used:

The two pair of opposite sides are same in length, i.e. AB = CD and AD = BC.
The two pair of opposite angles are congruent, i.e. ∠A ≅ ∠C and ∠B ≅ ∠D.
The two pair of consecutive angles are supplementary, i.e. ∠A + ∠B = 180° and ∠B + ∠D = 180°.
The diagonals of the quadrilateral bisect each other. i.e. AE = EC and BE = ED.

If the quadrilateral ABCD satisfies these properties then it can be proved that the quadrilateral ABCD is a parallelogram.

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Which vector best describes the translation below?

Nimfa-mama [501]

<h3>Answer: Choice A) <9,0></h3>

Explanation:

Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)

Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule $(x,y) \to (x+9, y)$ . We've added 9 to the x coordinate, and the y coordinate stays the same.

This notation can be shortened to <9, 0>

In general, the notation $(x,y) \to (x+a, y+b)$ is shortened to the translation vector notation $< a, b >$ . In this case, a = 9 and b = 0.

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2 years ago

Right two equal fractions 2/3

saveliy_v [14]

Two equal fractions would be 4/6 and 6/9.

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3 years ago

URGENT!! ILL GIVE

OverLord2011 [107]

If angle "a" measures 42° the the other angles that will be congruent to angle "a" and also measure 42° will be angle d, angle e and angle h .

In the question ,

a figure is given ,

From the figure we can see that 2 parallel lines are cut by a transversal .

So ,

angle a = angle d .......because vertically opposite angles .

angle a = angle e ...because corresponding angles are equal in measure

also

angle e = angle h .... because vertically opposite angles .

Therefore , If angle "a" measures 42° the the other angles that will be congruent to angle "a" and also measure 42° will be angle d, angle e and angle h , the correct option is (a) .

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brainly.com/question/1597341

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1 year ago

The standard deviation of math test scores at one high school is 16.1. A teacher claims that the standard deviation of the girls

Elanso [62]

Answer:

$\chi^2 =\frac{22-1}{259.21} 166.41 =13.482$

$p_v =P(\chi^2$

In order to find the p value we can use the following code in excel:

"=CHISQ.DIST(13.482,21,TRUE)"

If we compare the p value and the significance level provided we see that $p_v >\alpha$ so on this case we have enough evidence in order to FAIL reject the null hypothesis at the significance level provided. And that means that the population deviation is not significantly lower than 16.1 at 1% of significance.

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

$n=22$ represent the sample size

$\alpha=0.01$ represent the confidence level

$s^2 =12.9^2=166.41$ represent the sample variance obtained

$\sigma^2_0 =16.1^2 =259.21$ represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population deviation is smaller than 16.1 (that's equivalent to check if the population variance is lower than 259.21:

Null Hypothesis: $\sigma^2 \geq 259.21$

Alternative hypothesis: $\sigma^2$

Calculate the statistic

For this test we can use the following statistic:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

$\chi^2 =\frac{22-1}{259.21} 166.41 =13.482$

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case 21. And since is a left tailed test the p value would be given by:

$p_v =P(\chi^2$

In order to find the p value we can use the following code in excel:

"=CHISQ.DIST(13.482,21,TRUE)"

Conclusion

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3 years ago

Simplify 1000÷0.5<br><br>find the difference between 4 1/8 and 1 3/5

exis [7]

I have wait for 2 hours and no body has replied to mine yet wow!

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3 years ago

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