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Masja [62]
3 years ago
10

Ben says the angle is an acute angle. Jeff says the angle is less than a straight angle. Explain whether their statements are co

rrect.
Mathematics
1 answer:
Dahasolnce [82]3 years ago
7 0

Answer:

sometimes, if their average angle is over 45 degrees

never are 2 obtuse angles summing to 180 degrees

always.  two 90 degree angles always sum to 180 which is a straight line

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The area of a square is 72. what is the longest straight line that can be drawn between any two points of the square
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The longest straight line that can be drawn between any two points of a square is the one that includes the points on the opposite corners of the squares. To determine the length of this straight line, we must first determine the length of the square's side. Since the area of the square can be calculated by taking the square of the side, then

s^2 = 72
s = 6 sqrt(2)

Then, using the Pythagorean theorem, we will find c (the longest side of straight line of the square) 

c^2 = a^2 + b^2

Upon substitution of the length of the square's side, we have
c^2 = (6 sqrt(2))^2 + (6 sqrt(2))^2
c^2 = 72+72
c = 72

The length of the longest line is 72.
 
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