A triangle can only have at most one right angle.
Here's a proof that shows why this is so:
We know that the sum of all interior angles of a triangle must add up to 180.
Let's say the interior angles are A, B, and C
A + B + C = 180
Let's show that having two right angles is impossible
Let A = B = 90
90 + 90 + C = 180
180 + C = 180
Subtract 180 from both sides
C = 0
We cannot have an angle with 0 degrees in a triangle. Thus, it is impossible to have 2 right angles in a triangle.
Let's try to show that it's impossible to have 3 right angles
Let A = B = C = 90
90 + 90 + 90 = 180 ?
270 ≠ 180
Thus it's impossible to have 3 right angles as well.
Let's show that is possible to have 1 right angle
Let A = 90
90 + B + C = 180
Subtract both sides by 90
B + C = 90
There are values of B and C that will make this true. Thus, a triangle can have at most one right angle.
Have an awesome day! :)
Answer:
the numerical value of the correlation between percent of classes attended and grade index is r = 0.4
Step-by-step explanation:
Given the data in the question;
we know that;
the coefficient of determination is r²
while the correlation coefficient is defined as r = √(r²)
The coefficient of determination tells us the percentage of the variation in y by the corresponding variation in x.
Now, given that class attendance explained 16% of the variation in grade index among the students.
so
coefficient of determination is r² = 16%
The correlation coefficient between percent of classes attended and grade index will be;
r = √(r²)
r = √( 16% )
r = √( 0.16 )
r = 0.4
Therefore, the numerical value of the correlation between percent of classes attended and grade index is r = 0.4
Answer:
he's going 77mph and then 2069 meters per hour.
First, plug in 448 for y:
448=7x+294
Secondly, subtract 294 from both sides to isolate x:
154=7x
Divide both sides by 7:
22=x
Refine:
x=22
The answer is D)22
