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3 years ago

What else would need to be congruent to show that ABC XYZ by ASA?

Mathematics

2 answers:

prisoha [69]3 years ago

8 0

Answer: $\overline{XY}=\overline{AB}$

Step-by-step explanation:

In the given picture , there rae two triangles ΔABC and ΔXYZ.

It is given that ∠X≅∠A and ∠Y≅∠B

To prove both the triangles are congruent by ASA postulate, we need the corresponding included side of the given congruent pairs of angles.

The included side of ∠X and ∠Y is XY

The included side of ∠A and ∠B is AB

Thus, the additional information we neewd to prove the given triangle congruent by ASA is

$\overline{XY}=\overline{AB}$

ASA postulate tells that if two angles and the included side of one triangle are equal or congruent to two angles and the included side of another triangle, then the triangles are said to be congruent.

pochemuha3 years ago

3 0

ASA stands for "angle side side" and we are already given two angles. That means we need a side. That eliminates two of the choices. I would assume that the answer is A, because XY and AB are in between the given angles.

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Compute the correlation coefficient for the data set. (2,19), (3,22), (4,26), (5,20), (6,35), (7,30), (9,40), (10,42), (11,35)

lakkis [162]

Answer:

The correlation coefficient of the data is 0.8679.

Step-by-step explanation:

The formula to compute the correlation coefficient is:

$r(X,Y)=\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{\sqrt{n\cdot\sum X^{2}-(\sum X)^{2}}\times \sqrt{n\cdot\sum Y^{2}-(\sum Y)^{2}}}$

From the data provided compute the values of ∑ XY, ∑ X, ∑ Y, ∑ X² and ∑ Y².

The values are computed in the table below.

Compute the correlation coefficient as follows:

$r(X,Y)=\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{\sqrt{n\cdot\sum X^{2}-(\sum X)^{2}}\times \sqrt{n\cdot\sum Y^{2}-(\sum Y)^{2}}}$

$=\frac{(9\times 1893)-(57\times 269)}{\sqrt{(9\times 441)-(57)^{2}}\times \sqrt{(9\times 8635)-(269)^{2}}}\\\\=\frac{1704}{\sqrt{720\times 5354}}\\\\=0.86788895\\\\\approx 0.8679$

Thus, the correlation coefficient of the data is 0.8679.

4 0

3 years ago

Which of the decimals or fractions is not equal to 0.825 or ?

balu736 [363]

I believe it would be option A 0.85, I do know C & D do equal so either A or B would be the answer of not equaling

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3 years ago

B - 2,401 = 3,612 A. b = 6,013 B. b = 6,023 C. b = 5,913

OLga [1]

The answer is b=6,013

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3 years ago

Is 93 divisible by 3 . True or false

pishuonlain [190]

True, as 93 divided by 3 is 31; a whole number :)

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3 years ago

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For every girl taking classes at the martial arts school, there are 3 boys who are taking classes at the school. if there are 23

just olya [345]

G = number of girls taking the martial arts classes
and
B = number of boys taking the martial arts classes

We know that for every girl, there are 3 boys. Therefore, the proportion of girls to boys is:
$\frac{G}{B}$ = $\frac{1}{3}$

When you simplify this ratio by cross-multiplying you get:
3G = B
When you think about this, it makes sense because you know that there are 3 times as many boys as there are girls. Therefore you would need to multiply the number of girls by 3 to equal the number of boys in the class.

We know that there are 236 total people in the class, Therefore we know that:
G + B = 236

You can replace the B in the equation above with your simplified ratio to solve, since both contain the variable B:

G + B = 236
is the same as
G + 3G = 236 ->
4G = 236 ->
G = 59

So there are 59 girls in the class, but you need to figure out the number of boys, not girls. Therefore, subtract 59 from 236 to get to the final answer:

G + B = 236
59 + B = 236
59 + B - 59 = 236 - 59
B = 177

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4 years ago

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