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Anastasy [175]
4 years ago
6

Find the value of x so that line m is parallel to line l.

Mathematics
2 answers:
pickupchik [31]4 years ago
8 0

Answer:

-17

Step-by-step explanation:

The two angles that are shown are *corresponding angles* which means they lie in the same spot, just on two different parallel lines. They are congruent angles. Therefore, you should set up an equation to solve for <em>x.</em> Since the two angles are congruent, you should set the expressions equal to each other. 3x-12=4x+5.

RideAnS [48]4 years ago
4 0

Answer:

-17

Step-by-step explanation:

The angles are corresponding angles so when the lines are parallel, the lines are equal

3x-12 = 4x+5

Subtract 3x from each side

3x-12 -3x = 4x+5-3x

-12 = x+5

Subtract 5 from each side

-12 -5 = x+5-5

-17 = x

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The numerical expression that represents the total number is parentheses 15 divided by 3 plus parentheses 30 divided by 5
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Mercury metal is poured into a graduated cylinder that holds exactly 22.5mL. The mercury used to fill the cylinder weighs 306.0
aleksklad [387]

Answer:

13.6 g/ml

Step-by-step explanation:

Density is found by mass divided by volume

The mass is 306.0 and the volume is 22.5 ml

density = 306.0/22.5 =13.6 g/ml

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If it is a slope formula I believe it is y= 4x-24
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John and Jane are married. The probability that John watches a certain television show is .7. The probability that Jane watches
ikadub [295]

a) The probability  that both John and Jane watch the show is 0.12.

b.The probability that Jane watches the show, given that John does is  0.1714.

c)They do watch show independent of each other.

Step-by-step explanation:

Here, as given in the question:

Probability that John watches a certain show  = 0.7   ⇒ P(J) = 0.7

Probability that Jane watches a certain show  = 0.3   ⇒ P(Je) = 0.3

Probability that John watches a certain show given Jane watches it to

 = 0.4   ⇒ P(J/Je) = 0.4

a. )  Here, we need to find the probability of  both Jane and John watching a show , P(J∩Je)

Now, by BAYES THEOREM:

P(J/Je)  = \frac{P(J \cap Je)}{P(Je)}

\implies  0.4  = \frac{P(J \cap Je)}{0.3} \\\implies P(J \cap Je) = 0.4 \times 0.3  = 0.12

Hence the probability  that both John and Jane watch the show is 0.12.

b.) The probability that Jane watches the show, given that John does is P(J/Je)

By BAYES Theorem:

P(Je/J)  = \frac{P(J \cap Je)}{P(J)}\\\implies P(Je/J)  = \frac{0.12}{0.7}  = 0.1714

Hence, the probability that Jane watches the show, given that John does is  0.1714.

c) As we can see P(Jane ∩ John) =  0.12

So, the probability of both of them seeing the show TOGETHER is 0.12.

Hence, they do watch show independent of each other and the probability of doing that is 1.0.12  = 0.88

7 0
3 years ago
Help please.
matrenka [14]

Answer:

4. Slope of function B = -slope of function A

Step-by-step explanation:

Given:

Function A is given as:

F(x)=-2x+1

The above equation is of the form y=mx+b, where m represents slope of the line.

Therefore, on comparing the function A with the above standard form, er conclude that, slope of function A is -2.

Now, from the graph of function, we consider any two points on the graph and determine the slope of the line using the two points.

Let us consider the points (x_1,y_1)=(1.5,0)\ and\ (x_2,y_2)=(3,3)

Now, the slope of the line passing through these two points is given as:

m_B=\frac{y_2-y_1}{x_2-x_1}=\frac{3-0}{3-1.5}=\frac{3}{1.5}=2

Therefore, slope of function B is 2.

Therefore, the correct relation between the slopes of the two functions is that the slope of function B is negative of the slope of function A.

m_B=-(m_A)=-(-2)=2

5 0
3 years ago
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