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3 years ago

Which of the following facts, if true, would allow you to prove that lines l and m are parallel ?

Mathematics

2 answers:

Ymorist [56]3 years ago

6 0

We are given lines l and m and a transversal line to those two given lines.

We need to explain which of the following facts, if true, would allow you to prove that lines l and m are parallel.

Let us describe each given options.

A)m<2+m<4=180 degrees.

m<2 and m<4 makes a line pair. So, it doesn't prove if lines l and m are parallel.

C)m<6+m<3=180 degrees

This statement can't be true. Alternate interior angles can't be sum upto 180 degrees.

D)m<7=m<6

Those are vertical angles, that doesn't make the l and m parallel.

<h3>Therefore, only B option is correct option.</h3><h3>B)m<1=m<8.</h3>

ale4655 [162]3 years ago

3 0

B becuase they are alternate exterior angles

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4vir4ik [10]

Answer:

x = 15°

Step-by-step explanation:

First Identify the angle of x by subtracting 180° - 120° = 60°

Always remember when you see a straight line the line measures 180°

So the angle of x = 60° but not the value of x so use the given equation to find the value of x

3x + 15 = 60°

3x - 15 = -15°

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2 years ago

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Klio2033 [76]

Your answers are:
1: 14
2: 66
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3 years ago

Read 2 more answers

Which expression is equivalent to (^4√5^3)^(1/2)<br><br>5^6<br>5^3/8<br>5^16/3<br>5^2/3

AURORKA [14]

Hello!

To solve this, we must solve the equation..

(^4√5³)^(1/2) = 1.82...

It can't be A because 5^6 = 15625

It can't be C because 5^16/3 = 5343.67...

It can't be D because 5^2/3 = 2.92...

It can be B because 5^3/8 also equals 1.82...

So, (^4√5³)^1/2 = 5^3/8.

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3 years ago

9,25,49,81,121what it the pattern

Tpy6a [65]

16+8+8+8 is the answering to solve the pattern

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3 years ago

A system consists of two components C1 and C2, each of which must be operative in order for the overall system to function. Let

hram777 [196]

Answer:

The reliability of the first system to work is 0.72 whereas the reliability of the second system to work is 0.98.As the reliability of the second system is more than the first one so the second system is more reliable.

Step-by-step explanation:

For first system as given in the attached diagram gives,

$P(W_1W_2)=P(W_1) \times P(W_2)$

As the systems are independent.

The given data indicates that

$P(W_1)$ is given as 0.9
$P(W_2)$ is given as 0.8

Now the probability of the system is given as

$P(W_1W_2)=P(W_1) \times P(W_2)\\P(W_1W_2)=0.9 \times 0.8\\P(W_1W_2)=0.72$

So the reliability of the first system to work is 0.72.

For the second system is given as

$P(W_1W_2)=1-P(W_1'W_2')$

Where

$P(W_1'W_2')$ is the probability where both of the systems does not work. this is calculated as

$P(W_1'W_2')=P(W_1') \times P(W_2')\\P(W_1'W_2')=(1-P(W_1)) \times (1-P(W_2))\\P(W_1'W_2')=(1-0.9) \times (1-0.8)\\P(W_1'W_2')=(0.1) \times (0.2)\\P(W_1'W_2')=0.02$

So now the probability of the second system is given as

$P(W_1W_2)=1-P(W_1'W_2')\\P(W_1W_2)=1-0.02\\P(W_1W_2)=0.98$

So the reliability of the second system to work is 0.98.

As the reliability of the second system is more than the first one so the second system is more reliable.

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2 years ago