The correct answer is:
Yes; two lines intersect at right angles if (and only if) they are perpendicular.
Explanation:
If two lines intersect at right angles, they are by definition perpendicular.
If two lines are perpendicular, they, by definition intersect at right angles.
This means that two lines are perpendicular if and only if they intersect at right angles.
The definition of perpendicular lines is indeed reversible and can be expressed as a biconditional statement: 'Two lines intersect at right angles if and only if they are perpendicular'. Each condition functions as both a necessary and sufficient condition for the other.
Yes, the definition of perpendicular lines is reversible. This can indeed be expressed as a true biconditional statement. A biconditional statement is one in which each condition is necessary and sufficient for the other, or in simpler words, both conditions imply each other. In context, this biconditional statement would be: Two lines intersect at right angles if and only if they are perpendicular.
Here's how it works: If two lines are intersecting at right angles, by definition, they are perpendicular. Conversely, if two lines are perpendicular, they would necessarily intersect at right angles. Therefore, each condition is both a necessary and sufficient condition for the other, hence it's a true biconditional statement.
The concept of perpendicularity is crucial in various areas of mathematics, including geometry and trigonometry as it helps in understanding the spatial relationships between different lines and shapes.
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Answer:
A'(6,8)
B'(6,2)
C'(2,2)
Step-by-step explanation:
You can find the vertices by finding the X and Y coordinates in the plane, after rotating it 180 degrees.
can anyone help
Hi Walker
pv=kt
Divide both sides by p
pv/p=kt/p
v= kt/p
I hope that's help:0
b. (2b – 2)(2b + 4)
c. 4(b – 2)(b + 2)
d. 2(b – 4)(b + 4)
The least common multiple of 27 and 36 is 108.
The least common multiple is defined as the smallest multiple that two or more numbers have in common.
Given that, what is the least common multiple of 27 and 36,
To find the LCM of 27 and 36, we need to find the multiples of 27 and 36 Multiples of 27 = 27, 54, 81, 108;
Multiples of 36 = 36, 72, 108, 144
The smallest multiple that is exactly divisible by 27 and 36, is 108.
Hence, the least common multiple of 27 and 36 is 108.
Learn more about LCM, click;
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The Least Common Multiple (LCM) is: 2 x 2 x 3 x 3 x 3 = 108
x + 2y = –8
How many solutions does this linear system have?
Answer:
Step-by-step explanation:
Y = –x + 4
x + 2y = –8
How many solutions does this linear system have
one solution: (8, 0)
one solution: (0, 8)
no solution
infinite number of solutions