Answer:
X=7.9
Y=7.9
Step-by-step explanation:
We have that x=y
And form Pythagoras theorem we have
So x = y = 7.9
3. If triangle ABC has the following measurements, find the measure of angle A.
1 answer:
9514 1404 393
Answer:
(a) 42.3°
Step-by-step explanation:
Side 'a' is the shortest of three unequal sides, so angle A will be the smallest angle in the triangle. Its measure can be found from the Law of Cosines.
a² = b² +c² -2bc·cos(A)
cos(A) = (b² +c² -a²)/(2bc) = (21² +25² -17²)/(2·21·25) = 777/1050
A = arccos(777/1050) ≈ 42.3°
The measure of angle A is about 42.3°.
_____
<u><em>Additional comment</em></u>
The smallest angle in a triangle can never be greater than 60°. This lets you eliminate choices that exceed that value.
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A) The attachment shows the equation of the best-fit line. It is approximately
.. test average = 89.7 -2.93*(hours playing games)
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c) The y-intercept is the expected test score if no hours are spent playing games.
d) The correlation coefficient is -0.92, a significant negative correlation. One might expect that hours spent playing games indicates a lack of interest in school subjects or studying, hence a likelihood that test scores will be lower.
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.. test average = 89.7 -2.93*(hours playing games)
b) The slope indicates the expected drop in test score for each hour spent playing games
c) The y-intercept is the expected test score if no hours are spent playing games.
d) The correlation coefficient is -0.92, a significant negative correlation. One might expect that hours spent playing games indicates a lack of interest in school subjects or studying, hence a likelihood that test scores will be lower.
e) The equation predicts a test score of about 75 for someone who spends 5 hours a week playing video games.
The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,
[ 0 12 12 0]
[ 0 0 12 6]
<h2>We have to determine</h2>Which matrix represents the vertices of the rectangle after it is scaled by a factor of 3?
<h3>According to the question</h3>The vertices of the triangle are
The scale factor is 3.
<h3>The vertices of the triangle are scaled with the factor of 3 so the vertices are get multiplied by 3.</h3>Therefore,
The vertices of the rectangle after scaled by the factor of 3 are,
The vertices of the rectangle after it are scaled by a factor of 3.
Therefore,
The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,
[ 0 12 12 0]
[ 0 0 12 6]
To know more about Matrix click the link given below.