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zaharov [31]
3 years ago
13

By which rule are these triangles congruent ? A) AAS B) ASA C) SAS D) SSS

Mathematics
1 answer:
alina1380 [7]3 years ago
8 0
B ) ASA
I just solved that
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Just add the angles up.
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Marie has 5 apples, Toby takes 2 away. How many does he have less?
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2less apples

Step-by-step explanation:

5-2=3. 3+2=5

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What is 37/12 as a mixed number?
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find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

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3 years ago
At 11:30 a.m. the bottle is 1/4 of the way full. At what time will the bottle be 1/2 full?
attashe74 [19]

Answer:

12:00pm

Step-by-step explanation:

at 11am,the bottle is empty. the bottle fills in intervals of 1/4 every 30 minutes

4 0
3 years ago
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