Which of the following is a true statement about skew lines?

Mathematics

2 answers:

otez555 [7]3 years ago

8 0

A.) would be your answer

Lostsunrise [7]3 years ago

4 0

Answer:

(A) Skew lines do not lie in the same plane.

Step-by-step explanation:

Skew lines are the lines which do not intersect each other and also are not parallel to each other.

Two lines that both lie in the same plane must either cross each other or should be parallel to each other, so skew lines can exist only in three or more dimensions. Example: Regular tetrahedron has a pair of skew lines.

Thus, Skew lines do not lie in the same plane.

Hence, option A is correct.

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One leg in a right triangle is 11 m, and the hypotenuse measures 11√2 m. Find the length of the other leg.

ipn [44]

Answer:

$\boxed{11m}$

Step-by-step explanation:

Method #1: 45-45-90 Triangle

You can use the rules for a 45-45-90 triangle. These are:

→ Each 45-45-90 triangle is a right triangle with two additional 45° angles.

→ The triangle will have 2 legs, x, and one hypotenuse, x√2.

Therefore, because the problem gives values for one leg and the hypotenuse, the value for the one leg is equal to the value for the unsolved leg.

Method #2: Pythagorean Theorem

You can use the Pythagorean Theorem to solve for a missing side in a triangle. Please note, however, that the Pythagorean Theorem only works on right triangles.

The Pythagorean Theorem is defined as $a^{2} + b^{2} = c^{2},$ where a and b are both legs of the triangle and c is the hypotenuse.

Therefore, substitute the known value for a, 11, and the known value for c, 11√2. Then, evaluate each value to its power (except for b - it is unsolved) and simplify the equation with basic algebraic methods. Once your equation is down to $b^{2}= ?$ , you should take the square root of both sides of the equation to get the value for b.