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2 years ago

lines L, R, and S are coplanar. Suppose L is perpendicular to R and R is perpendicular to S. Is L perpendicular to S? Explain.

Mathematics

1 answer:

poizon [28]2 years ago

6 0

Answer:

No, L and S are parallel.

Step-by-step explanation:

Perpendicular lines go directly opposite from each other, making a + looking arrangement. While parallel lines go in the exact same direction, making a = looking arrangement. The only way both S and L can both be perpendicular to R is if they are both parallel to each other. An illustration by yours truly is placed below to represent it visually.

L |

_______________________________|_____

| R

_______________________________|_____

S |

Now, if this were on the outside of a sphere, then it would be totally possible to have three lines all be parallel, because they can curve with the sides of the sphere and create a triangle with all right angles.

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Evaluate: x(y – z) for x = 3, y = 9, and z = 2 O 33 O 45 O-21 O 21

ad-work [718]

Answer:

Step-by-step explanation:

Hi there!

We are given the expression x(y-z), and we want to evaluate it if x=3, y=9, and z=2

As we're given the values of the variables, we can substitute those values into the expression to find out what the value of the expression is.

So substitute 3 as x, 9 as y, and 2 as z in the expression above

x(y-z)

3(9-2)

Now we must follow the order of operations; start by subtracting 2 from 9 (do the stuff inside the parentheses first)

3(7)

Now multiply 3 and 7 together

21

Hope this helps!

3 0

3 years ago

Find the exact trigonometric value: sin 255

wariber [46]

Answer:

−0.965925826289068

Step-by-step explanation:

sin 255 = −0.965925826289068

6 0

3 years ago

Read 2 more answers

Cos 4θ − cos 2θ = sin θ

hichkok12 [17]

$cos(4\theta) - cos(2\theta) = sin(\theta)$
$-2sin(\frac{4\theta + 2\theta}{2})sin(\frac{4\theta - 2\theta}{2}) = sin(\theta)$
$-2sin(\frac{6\theta}{2}sin\frac{2\theta}{2}) = sin(\theta)$
$-2sin(3\theta)sin(\theta) = sin(\theta)$
$\frac{-2sin(3\theta)sin(\theta)}{-2sin(\theta)} = \frac{sin(\theta)}{-2sin(\theta)}$
$sin(3\theta) = -\frac{1}{2}$
$sin^{-1}[sin(3\theta)] = sin^{-1}(-\frac{1}{2})$
$3\theta = -30$
$\frac{3\theta}{3} = \frac{-30}{3}$
$\theta = -10$

7 0

3 years ago

What is the greatest common factor of 128 and 96

aalyn [17]

The greatest common factor is 32

6 0

3 years ago

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Tests for tuberculosis like all other diagnostic tests are not perfect. QFT-G is one of such tests for tuberculosis. Suppose tha

Sauron [17]

Answer:

the probability of an adult getting a NEG result and truly having tuberculosis is 0.0127

Step-by-step explanation:

S = the adult really has tuberculosis.

S' = complement of S = the adult does not has tuberculosis.

POS = the test gives a positive result

P(S)= 0.05

P(POS | S)=0.746

P(NEG | S')= 0.7653

this is an intersection because the "and" word

P(NEG ∩ S) = P(NEG| S)*P(S)=(1-P(POS | S))*P(S)=(1-0.746)*0.05=0.0127

6 0

3 years ago